263179874-Pre-Algebra-Homework-Book

PDF Pass Homework and omework and Problem-Solving roblem-Solving Practice Workbook ractice Workbook MC'11_FL_C3_H_TP_892764-1.indd 1 C'11_FL_C3_H_TP_892764-1.indd 1 3/19/09 4:55:43 PM /19/09 4:55:43 PM

Copyright © by the McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this publication may be reproduced or distributed in any form or by any means, or stored in database or retrieval system, without prior written permission of the publisher. Send all inquiries to: Glencoe/McGraw-Hill 8787 Orion Place Columbus, OH 43240 ISBN: 978-0-07-892764-5 MHID: 0-07-892764-1 Florida Homework and Problem-Solving Practice Workbook, Course 3 Printed in the United States of America. 2 3 4 5 6 7 8 9 10 REL 15 14 13 12 11 10 2nd Pass To the Student This Homework and Problem-Solving Practice Workbook gives you additional problems for the concept exercises in each lesson. The exercises are designed to aid your study of mathematics by reinforcing important mathematical skills needed to succeed in the everyday world. The materials are organized by chapter and lesson, with one Homework Practice worksheet and one Problem-Solving Practice worksheet for every lesson in Glencoe’s Florida Math Connects, Course 3. Always keep your workbook handy. Along with your textbook, daily homework, and class notes, the completed Homework and Problem-Solving Practice Workbook can help you review for quizzes and tests. To the Teacher These worksheets are the same as those found in the Chapter Resource Masters for Glencoe’s Florida Math Connects, Course 3. The answers to these worksheets are available at the end of each Chapter Resource Masters booklet as well as the end of each chapter in your Teacher Edition. 0ii_HWPS_892764.indd ii ii_HWPS_892764.indd ii 2/9/10 10:44:48 AM /9/10 10:44:48 AM

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. iii CONTENTS Chapter 0 Start Smart 0-1 A Plan for Problem Solving . . . . . . . . . . . . . . 1 0-2 Integers and Absolute Value. . . . . . . . . . . . . . 2 0-3 Add Integers. . . . . . . . . . . . . . . . . . . . . . . . . . . 3 0-4 Subtract Integers . . . . . . . . . . . . . . . . . . . . . . 4 0-5 Multiply and Divide Integers. . . . . . . . . . . . . 5 Chapter 1 Rational Numbers and Percent Rational Numbers A Rational Numbers . . . . . . . . . . . . . . . . . . . . 7 B Add and Subtract Rational Numbers . . . . 9 C Multiply Rational Numbers . . . . . . . . . . . 11 D Divide Rational Numbers. . . . . . . . . . . . . 13 Percents A Problem-Solving Investigation: Look for a Pattern . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 B Compare Rational Numbers . . . . . . . . . . . 17 C Algebra: The Percent Proportion and Equation . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Apply Percents A Discount, Markup, and Sales Tax . . . . . . 21 B Financial Literacy: Interest . . . . . . . . . . . 23 D Percent of Change . . . . . . . . . . . . . . . . . . . 25 Chapter 2 Expressions and Functions Expressions A Problem-Solving Investigation: Make a Table. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 B Variables and Expressions . . . . . . . . . . . . 29 C Ordered Pairs and Relations . . . . . . . . . . 31 Translate Among Words, Tables, Graphs, and Equations B Analyze Tables . . . . . . . . . . . . . . . . . . . . . . 33 C Analyze Graphs . . . . . . . . . . . . . . . . . . . . . 35 D Translate Tables and Graphs into Equations . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Relations and Functions B Functions . . . . . . . . . . . . . . . . . . . . . . . . . . 39 C Linear Functions . . . . . . . . . . . . . . . . . . . . 41 D Linear and Nonlinear Functions . . . . . . . 43 Chapter 3 Linear Functions and Systems of Equations Slope A Constant Rate of Change. . . . . . . . . . . . . . 45 C Slope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 E Direct Variation . . . . . . . . . . . . . . . . . . . . . 49 Intercepts A Slope-Intercept Form. . . . . . . . . . . . . . . . . 51 B Graph Functions Using Intercepts . . . . . 53 Systems of Equations A Problem-Solving Investigation: Guess, Check, and Revise.. . . . . . . . . . . . . . . . . . . 55 Lesson 1-1 Lesson 1-2 Lesson 1-3 Lesson 2-1 Lesson 2-2 Lesson 2-3 Lesson 3-1 Lesson 3-2 Lesson 3-3 1st pass iii_vi_HWPS_892764.indd iii ii_vi_HWPS_892764.indd iii 2/2/10 10:18:02 PM /2/10 10:18:02 PM

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. iv C Solve Systems of Equations by Graphing. . . . . . . . . . . . . . . . . . . . . . . . . . . 57 D Solve Systems of Equations by Substitution . . . . . . . . . . . . . . . . . . . . . . . . 59 Chapter 4 Equations and Inequalities One-Step Equations A Problem-Solving Investigation: Work Backward . . . . . . . . . . . . . . . . . . . . . . . . . . 61 B Write Equations . . . . . . . . . . . . . . . . . . . . 63 C Solve Addition and Subtraction Equations . . . . . . . . . . . . . . . . . . . . . . . . . . 65 D Solve Multiplication and Division Equations . . . . . . . . . . . . . . . . . . . . . . . . . . 67 Two-Step Equations B Solve Two-Step Equations . . . . . . . . . . . . 69 C Write Two-Step Equations . . . . . . . . . . . . 71 One-Step Inequalities A Graph Inequalities . . . . . . . . . . . . . . . . . . 73 B Solve Inequalities by Addition or Subtraction . . . . . . . . . . . . . . . . . . . . . . . . 75 C Solve Inequalities by Multiplication or Division . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 Two-Step Inequalities A Solve Two-Step Inequalities . . . . . . . . . . . 79 B Compound Inequalities . . . . . . . . . . . . . . . 81 Chapter 5 Operations on Real Numbers Laws of Exponents A Powers and Exponents . . . . . . . . . . . . . . . 83 B Multiply and Divide Monomials . . . . . . . . 85 C Powers of Monomials . . . . . . . . . . . . . . . . 87 D Problem-Solving Investigation: Act It Out . . . . . . . . . . . . . . . . . . . . . . . . . . 89 Scientific Notation A Negative Exponents . . . . . . . . . . . . . . . . . 91 B Scientific Notation. . . . . . . . . . . . . . . . . . . 93 C Compute with Scientific Notation . . . . . . 95 Square Roots A Square Roots . . . . . . . . . . . . . . . . . . . . . . . 97 C Estimate Square Roots . . . . . . . . . . . . . . . 99 D Compare Real Numbers . . . . . . . . . . . . . 101 Chapter 6 Angles and Lines Angle Measure B Classify Angles . . . . . . . . . . . . . . . . . . . . 103 C Complementary and Supplementary Angles . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 D Problem-Solving Investigation: Use Logical Reasoning . . . . . . . . . . . . . . 107 Parallel Lines B Lines. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 Lesson 4-1 Lesson 4-2 Lesson 4-3 Lesson 4-4 Lesson 5-1 Lesson 5-2 Lesson 5-3 Lesson 6-1 Lesson 6-2 1st pass iii_vi_HWPS_892764.indd iv ii_vi_HWPS_892764.indd iv 2/2/10 10:18:20 PM /2/10 10:18:20 PM

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. v CONTENTS Angle Relationships in Polygons B Triangles . . . . . . . . . . . . . . . . . . . . . . . . . 111 D Quadrilaterals . . . . . . . . . . . . . . . . . . . . . 113 E Polygons and Angles . . . . . . . . . . . . . . . . 115 Chapter 7 Similar Triangles and the Pythagorean Theorem Similar Triangles A Problem-Solving Investigation: Draw a Diagram . . . . . . . . . . . . . . . . . . . 117 B Similar Polygons . . . . . . . . . . . . . . . . . . . 119 D Indirect Measurement . . . . . . . . . . . . . . 121 E The Tangent Ratio . . . . . . . . . . . . . . . . . . 123 The Pythagorean Theorem B The Pythagorean Theorem . . . . . . . . . . . 125 C Use the Pythagorean Theorem . . . . . . . . 127 D Distance on the Coordinate Plane . . . . . 129 F Special Right Triangles . . . . . . . . . . . . . . 131 Chapter 8 Data Analysis Analyze Data A Measures of Central Tendency . . . . . . . . 133 C Changes in Data . . . . . . . . . . . . . . . . . . . 135 Box-and-Whisker Plots A Measures of Variation . . . . . . . . . . . . . . . 137 B Box-and-Whisker Plots . . . . . . . . . . . . . . 139 C Double Box-and-Whisker Plots . . . . . . . 141 Scatter Plots A Problem-Solving Investigation: Use a Graph . . . . . . . . . . . . . . . . . . . . . . 143 C Scatter Plots . . . . . . . . . . . . . . . . . . . . . . 145 E Lines of Best Fit . . . . . . . . . . . . . . . . . . . 147 G Select an Appropriate Display . . . . . . . . 149 Chapter 9 Units of Measure Literal Equations A Literal Equations . . . . . . . . . . . . . . . . . . 151 B Convert Temperatures . . . . . . . . . . . . . . 153 C Problem-Solving Investigation: Determine Reasonable Answers . . . . . . . 155 Convert Units of Measure A Convert Length, Weight/Mass, Capacity, and Time . . . . . . . . . . . . . . . . . . . . . . . . . 157 B Convert Rates . . . . . . . . . . . . . . . . . . . . . 159 C Convert Units of Area and Volume . . . . 161 Lesson 6-3 Lesson 7-1 Lesson 7-2 Lesson 8-1 Lesson 8-2 Lesson 8-3 Lesson 9-1 Lesson 9-2 1st pass iii_vi_HWPS_892764.indd v ii_vi_HWPS_892764.indd v 2/2/10 10:18:34 PM /2/10 10:18:34 PM

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. vi Chapter 10 Measurement: Area and Volume Circumference and Area B Circumference and Area of Circles . . . . 163 D Problem-Solving Investigation: Make a Model . . . . . . . . . . . . . . . . . . . . . 165 E Area of Composite Figures . . . . . . . . . . . 167 Volume A Three-Dimensional Figures . . . . . . . . . . 169 B Volume of Prisms and Cylinders . . . . . . 171 C Volume of Pyramids, Cones, and Spheres . . . . . . . . . . . . . . . . . . . . . . . . . . 173 Surface Area B Surface Area of Prisms and Cylinders . . . . . . . . . . . . . . . . . . . . . . . . . 175 D Surface Area of Pyramids and Cones . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177 Chapter 11 Properties and Multi-Step Equations and Inequalities Properties of Math A Properties . . . . . . . . . . . . . . . . . . . . . . . . 179 B The Distributive Property . . . . . . . . . . . 181 C Simplify Algebraic Expressions . . . . . . . 183 D Problem-Solving Investigation: Solve a Simpler Problem . . . . . . . . . . . . 185 Multi-Step Equations and Inequalities B Solve Equations with Variables on Each Side . . . . . . . . . . . . . . . . . . . . . . . . . 187 C Solve Multi-Step Equations . . . . . . . . . . 189 D Solve Multi-Step Inequalities . . . . . . . . . 191 Chapter 12 Nonlinear Functions and Polynomials Nonlinear Functions A Graph Quadratic Functions . . . . . . . . . . 193 B Graph Cubic Functions . . . . . . . . . . . . . . 195 Operations with Polynomials A Polynomials . . . . . . . . . . . . . . . . . . . . . . . 197 B Add Polynomials . . . . . . . . . . . . . . . . . . . 199 C Subtract Polynomials . . . . . . . . . . . . . . . 201 D Multiply a Binomial by a Monomial . . . 203 E Multiply Polynomials . . . . . . . . . . . . . . . 205 Factor Polynomials B Use the GCF to Factor Polynomials . . . . 207 D Factor Trinomials . . . . . . . . . . . . . . . . . . 209 E Problem-Solving Investigation: Use a Graph . . . . . . . . . . . . . . . . . . . . . . 211 Lesson 10-1 Lesson 10-2 Lesson 10-3 Lesson 11-1 Lesson 11-2 Lesson 12-1 Lesson 12-2 Lesson 12-3 1st pass iii_vi_HWPS_892764.indd vi ii_vi_HWPS_892764.indd vi 2/2/10 10:18:46 PM /2/10 10:18:46 PM

NAME ________________________________________ DATE _____________ PERIOD _____ PDF pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 0 1 Course 3 Chapter 0-1 Get Connected Get Connected For more examples, go to glencoe.com. Homework Practice A Plan for Problem Solving Use the four-step plan to solve each problem. 1. PATTERNS Draw the next figure in the pattern. 2. BASEBALL The table shows the number of wins the Tampa Bay Rays had during four years. Year Number of Games Won 2008 97 2007 66 2006 61 2005 67 a. How many more games did they win in 2008 than in 2007? b. How many total games did they win during these four years? 3. PIZZA Mr. Sergius is having a pizza party for the students in his five classes. The restaurant has tables that seat 6 people. There are 27, 19, 24, 31, and 29 students in his classes. How many tables will he need if everyone attends? 4. PET CARE It takes Erno 16 minutes to trim the toenails on two dogs. How long will it take him to trim the nails on ten dogs? 5. POPULATION The table gives the population and area of Alaska and Florida. State Population (2006 est) Area (mi2) Alaska 670,053 663,267 Florida 18,089,888 65,755 a. Which state has the greater number of people per square mile? How many more? b. Estimate what the population of Alaska would need to be for it to have about the same number of people per square mile as Florida. 001_005_HPC3C0_892764.indd 1 01_005_HPC3C0_892764.indd 1 3/14/09 12:27:40 PM /14/09 12:27:40 PM

NAME ________________________________________ DATE _____________ PERIOD _____ PDF pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 0 2 Course 3 Chapter 0-2 Get Connected Get Connected For more examples, go to glencoe.com. Homework Practice Integers and Absolute Value Write an integer for each situation. 1. A stock went up $4. 2. Lex lost $5 out of his pocket. 3. A country is on the equator. 4. An antique bowl gained $300 in value. Graph each set of integers on a number line. 5. {–1, –9, –3} 6. {0, 3, –6} 7. {–2, –7, 4} Evaluate each expression. 8. |–9| 9. |9| 10. |22 – 9| 11. |22| – |9| 12. |22| – |–9| 13. |–22| + 2 14. |–17| + |0| 15. |–22| + |–9| 16. INVESTMENTS The table shows the amount of money different people made or lost on an investment. Name Amount of Change in Investment ($) Sammy –38 Sita –92 Trish 24 a. Whose investment gained the most? b. Whose investment lost the most? c. How much more did Trish make on her investment than Sammy? 001_005_HPC3C0_892764.indd 2 01_005_HPC3C0_892764.indd 2 3/14/09 12:27:46 PM /14/09 12:27:46 PM

NAME ________________________________________ DATE _____________ PERIOD _____ PDF pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 0 3 Course 3 Chapter Get Connected Get Connected For more examples, go to glencoe.com. 0-3 Add. 1. –36 + (–8) 2. –21 + (–12) 3. –15 + 8 4. –4 + (–35) 5. –19 + 14 6. 17 + (–10) 7. –14 + (–42) 8. –32 + 29 9. –26 + 31 10. 16 + (–23) 11. –56 + (–41) + (–18) 12. –38 + (–49) + 28 13. 9 + (–7) + 6 + (–12) 14. –35 + (–19) + (–57) 15. –25 + 4 + (–5) + 28 16. –14 + 2 + (–27) + 40 17. –6 + 16 + 6 + (–16) 18. –11 + (–21) + (–33) 19. –30 + 43 + (–26) 20. –41 + 29 + 8 Write an addition expression to describe each situation. Then find each sum and explain its meaning. 21. PORPOISES A porpoise went from 10 feet above the surface of the water to 26 feet below the surface. 22. DVDS Helena bought 16 new DVDs for her collection. Then she loaned 11 DVDs to her best friend. Homework Practice Add Integers 001_005_HPC3C0_892764.indd 3 01_005_HPC3C0_892764.indd 3 3/14/09 12:27:53 PM /14/09 12:27:53 PM

NAME ________________________________________ DATE _____________ PERIOD _____ PDF pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 0 4 Course 3 Chapter 0-4 Subtract. 1. 7 – 16 2. 8 – (–4) 3. –20 – 5 4. 11 – (–9) 5. –1 – (–6) 6. 18 – 14 7. 12 – (–3) 8. –19 – (–8) 9. –2 – (–7) 10. 4 – (–18) 11. –11 – (–5) 12. –23 – (–4) 13. 1 – 15 14. 12 – (–20) 15. –30 – 9 16. –29 – (–27) 17. –26 – (–38) 18. 5 – (–13) Evaluate each expression if a = –6, b = 9, and c = –7. 19. b – 15 20. a – b 21. c – 4 22. c – b 23. b – c – a 24. (a – b) + c 25. MARS The highest and lowest temperatures ever recorded on Mars were –191°F and –24°F. Find the difference between these temperatures. Homework Practice Subtract Integers Get Connected Get Connected For more examples, go to glencoe.com. 001_005_HPC3C0_892764.indd 4 01_005_HPC3C0_892764.indd 4 3/14/09 12:27:56 PM /14/09 12:27:56 PM

NAME ________________________________________ DATE _____________ PERIOD _____ PDF pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 0 5 Course 3 Chapter Get Connected Get Connected For more examples, go to glencoe.com. 0-5 Multiply. 1. –6 · 3 2. –7(–2) 3. 4(–12) 4. –9(–13) 5. –6 · 11 6. –5(–21) 7. 16(–5) 8. –16(–10) Divide. 9. 16 ÷ (–8) 10. –30 ÷ 6 11. –28 ÷ (–14) 12. 18 ÷ (–3) 13. − –72 –9 14. − –10 –2 15. − –100 –25 16. − 48 –3 17. FLOODING Following a heavy rain, a river is 7.5 feet above flood stage. The river recedes 1.5 feet per day. How many days will it take until the river is no longer above flood stage? 18. AVIATION An airplane is flying at a height of 10,000 feet. It descends each minute to the height shown in the table. How high will the airplane be after 12 minutes? Time (min) Height (ft) 0 10,000 1 9,450 2 8,900 Homework Practice Multiply and Divide Integers 001_005_HPC3C0_892764.indd 5 01_005_HPC3C0_892764.indd 5 3/14/09 12:28:00 PM /14/09 12:28:00 PM

NAME ________________________________________ DATE _____________ PERIOD _____ PDF pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 6 Course 3 1-1 A Write each fraction or mixed number as a decimal. 1. 3 − 5 2. 5 − 8 3. − 9 20 4. − 37 50 5. - − 11 16 6. - − 9 32 7. 3 1 − 5 8. 4 3 − 8 9. − 5 33 10. -7 − 9 11. -8 − 11 18 12. -9 − 11 30 Write each decimal as a fraction or mixed number in simplest form. 13. -0.8 14. 0.44 15. -1.35 16. 0. − 8 17. -1. − 5 18. 4. −−45 19. POPULATION Refer to the table at the right. a. Express the fraction for Asian as a decimal. b. Find the decimal equivalent for the fraction of the population that is African American. c. Write the fraction for Hispanic as a decimal. 20. MEASUREMENTS Use the figure at the right. a. Write the width of the jellybean as a fraction. b. Write the width of the jellybean as a decimal. Homework Practice Rational Numbers in. 1 Population of Florida by Race Race Fraction of Total Population Asian − 1 50 African American − 4 25 Hispanic 1 − 5 Get Connected Get Connected For more examples, go to glencoe.com. 006_025_HPC3C1_892764.indd 6 06_025_HPC3C1_892764.indd 6 3/14/09 12:31:48 PM /14/09 12:31:48 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 7 Course 3 1-1 A Write each fraction or mixed number as a decimal. 1. 3 − 5 2. 5 − 8 3. − 9 20 4. − 37 50 5. - − 11 16 6. - − 9 32 7. 3 1 − 5 8. 4 3 − 8 9. − 5 33 10. -7 − 9 11. -8 − 11 18 12. -9 − 11 30 Write each decimal as a fraction or mixed number in simplest form. 13. -0.8 14. 0.44 15. -1.35 16. 0. − 8 17. -1. − 5 18. 4. −−45 19. POPULATION Refer to the table at the right. a. Express the fraction for Asian as a decimal. b. Find the decimal equivalent for the fraction of the population that is African American. c. Write the fraction for Hispanic as a decimal. 20. MEASUREMENTS Use the figure at the right. a. Write the width of the jellybean as a fraction. b. Write the width of the jellybean as a decimal. Homework Practice Rational Numbers in. 1 Population of Florida by Race Race Fraction of Total Population Asian − 1 50 African American − 4 25 Hispanic 1 − 5 Get Connected Get Connected For more examples, go to glencoe.com. 007_026_HPC3C1_892764.indd 7 07_026_HPC3C1_892764.indd 7 2/2/10 9:53:24 PM /2/10 9:53:24 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 8 Course 3 1-1 A 1. ASTRONOMY The pull of gravity on the surface of Mars is 0.38 that of Earth. Write 0.38 as a fraction in simplest form. 2. ENERGY Nuclear power provided 78% of the energy used in France in 2005. Write 0.78 as a fraction in simplest form. 3. WEIGHTS AND MEASURES One pint is about 5 − 9 liter. Write 5 − 9 liter as a decimal. 4. WEIGHTS AND MEASURES One inch is 25.4 millimeters. Write 25.4 millimeters as a mixed number in simplest form. 5. EDUCATION A local middle school has 47 computers and 174 students. What is the number of students per computer at the school? Write your answer as both a mixed number in simplest form and a decimal rounded to the nearest tenth. 6. BASEBALL In the 2008 season, the Florida Marlins won 84 out of 162 games. What was the ratio of wins to total games? Write your answer as both a fraction in simplest form and a decimal rounded to the nearest thousandth. 7. COLLEGES AND UNIVERSITIES Recently, a small college had an enrollment of 1,342 students and a total of 215 faculty. What was the student-faculty ratio for this college? Write your answer as both a mixed number in simplest form and a decimal rounded to the nearest hundredth. 8. BASKETBALL In the 2007–2008 season, Dwayne Wade made 439 field goals out of 937 attempts. What was Dwayne Wade’s ratio of successful field goals to attempts? Write your answer as both a fraction in simplest form and a decimal rounded to the nearest thousandth. Problem-Solving Practice Rational Numbers 007_026_HPC3C1_892764.indd 8 07_026_HPC3C1_892764.indd 8 2/2/10 9:53:30 PM /2/10 9:53:30 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 9 Course 3 1-1 Add or subtract. Write in simplest form. 1. - 1 − 4 + 3 − 4 2. - 3 − 8 + (- 1 − 8) 3. - − 8 11 + − 10 11 4. - 5 − 7 - 4 − 7 5. − 11 12 - − 7 12 6. − 2 15 - (- − 7 15) 7. 4 1 − 5 + 6 3 − 4 8. 1 − 7 10 + (-5 3 − 5) 9. 7 3 − 5 - (-5 1 − 3) 10. -3 2 − 3 - 4 5 − 9 11. -4 3 − 5 - 5 − 9 10 12. -18 − 5 12 + 14 3 − 4 13. POPULATION About 1 − 5 of the world’s population lives in China, and about 1 − 6 of the world’s population lives in India. What fraction of the world’s population lives in other countries? ALGEBRA Evaluate each expression for the given values. 14. r + s if r = 8 4 − 5 and s = -3 2 − 5 15. j - k if j = - 5 − 9 and k = 4 5 − 6 GEOMETRY Find the missing measure for each figure. 16. 3 5 3 1 x 4 1 in. in. in. 17. 10 17 2 1 x 4 3 in. 14 8 5 in. in. in. perimeter = 12 − 23 24 in. perimeter = 59 1 − 4 in. Get Connected Get Connected For more examples, go to glencoe.com. B Homework Practice Add and Subtract Rational Numbers 007_026_HPC3C1_892764.indd 9 07_026_HPC3C1_892764.indd 9 2/2/10 9:53:34 PM /2/10 9:53:34 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 10 Course 3 1-1 1. MEASUREMENTS Tate fills a 13 1 − 3 -ounce glass from a 21 2 − 3 -ounce bottle of juice. How much juice is left in the bottle? 2. DECORATING Jeri has two posters. One is 4 − 7 10 feet wide and the other is 5 − 1 10 feet wide. Will the two posters fit beside each other on a wall that is 10 feet wide? Explain. 3. HUMAN BODY Tom’s right foot measures 10 2 − 5 inches, while Randy’s right foot measures 9 4 − 5 inches. How much longer is Tom’s foot than Randy’s foot? 4. COMPUTERS Trey has two data files on his computer that he is going to combine. One file is 1 4 − 9 megabytes, while the other file is 3 8 − 9 megabytes. What will be the size of the resulting file? 5. PETS Laura purchased two puppies from a litter. One of the puppies weighs 4 5 − 6 pounds and the other puppy weighs 5 1 − 2 pounds. How much more does the second puppy weigh than the first? 6. AGE Alma is 6 3 − 4 years old, while her brother David is 3 5 − 6 years old. What is the sum of the ages of Alma and David? 7. MEASUREMENT Ned pours 7 2 − 5 ounces of water from a beaker containing 10 1 − 4 ounces. How much water is left in the beaker? 8. GEOMETRY A triangle has sides of 1 1 − 6 inches, 1 1 − 3 inches, and 1 2 − 3 inches. What is the perimeter of the triangle? B Problem-Solving Practice Add and Subtract Rational Numbers 007_026_HPC3C1_892764.indd 10 07_026_HPC3C1_892764.indd 10 2/2/10 9:53:40 PM /2/10 9:53:40 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 11 Course 3 1-1 Multiply. Write in simplest form. 1. 1 − 4 · 4 − 5 2. 6 − 7 · 1 − 2 3. − 3 10 · 2 − 3 4. - − 15 16 · 4 − 5 5. (- − 8 25) − 15 16 6. (- 7 − 8)(- 1 − 7 ) 7. 1 1 − 4 · 1 − 5 8. 1 1 − 4 · 1 1 − 5 9. -2 2 − 3 · (- 1 − 4 ) 10. 1 − 4 · (- − 4 15 ) · 5 − 7 11. 2 2 − 5 · 2 1 − 3 · 2 12. 10 · 8.56 · 1 − 2 ALGEBRA Evaluate each expression if a = - 1 − 5 , b = 2 − 3, c = 7 − 8, and d = - 3 − 4 . 13. bc 14. ab 15. abc 16. abd 17. COOKING A recipe calls for 2 1 − 4 cups of flour. How much flour would you need to make 1 − 3 of the recipe? 18. FARMING A farmer has 6 1 − 2 acres of land for growing crops. If she plants corn on 3 − 5 of the land, how many acres of corn will she have? PROBABILITY The spinner at the right is spun and a number cube is rolled. Find each probability. 19. P(spinning an odd number) 20. P(rolling a 2) 21. P(spinning an odd number and rolling a 2) 1 2 3 22. P(spinning a 2 or 3 and rolling a number greater than 4) Get Connected Get Connected For more examples, go to glencoe.com. Homework Practice Multiply Rational Numbers C 007_026_HPC3C1_892764.indd 11 07_026_HPC3C1_892764.indd 11 2/2/10 9:53:44 PM /2/10 9:53:44 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 12 Course 3 1-1 1. NUTRITION Maria’s favorite granola bar has 230 Calories. The nutrition label states that 7 − 8 of the Calories come from fat. How many Calories in the granola bar come from fat? 2. ELECTIONS In the last election, 3 − 8 of the voters in Afton voted for the incumbent mayor. If 424 people voted in Afton in the last election, how many voted for the incumbent mayor? 3. HOBBIES Jerry is building a 1 − 9 scale model of a race car. If the tires on the actual car are 33 inches in diameter, what is the diameter of the tires on the model? 4. COOKING Enola’s recipe for cookies calls for 2 1 − 2 cups of flour. If she wants to make 3 − 4 of a batch of cookies, how much flour should she use? 5. TRANSPORTATION Hana’s car used 3 − 4 of a tank of gas to cross Arizona. The gas tank on her car holds 15 1 − 2 gallons. How many gallons of gas did it take to cross Arizona? 6. GEOMETRY The area of a rectangle is found by multiplying its length times its width. What is the area of a rectangle with a length of 2 1 − 4 inches and a width of 1 5 − 9 inches? 7. MIDDLE SCHOOL Use the table and information below. There are 480 students enrolled in a middle school located in southern Florida. a. How many students are enrolled in English? b. Are more students enrolled in math or science? Explain. Class Fraction of Students Enrolled English 7 − 8 Math 3 − 4 Art 1 − 5 Science 3 − 5 C Problem-Solving Practice Multiply Rational Numbers 007_026_HPC3C1_892764.indd 12 07_026_HPC3C1_892764.indd 12 2/2/10 9:53:50 PM /2/10 9:53:50 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 13 Course 3 1-1 Get Connected Get Connected For more examples, go to glencoe.com. Write the multiplicative inverse of each number. 1. 4 − 5 2. - − 7 12 3. -20 4. -5 3 − 8 Divide. Write in simplest form. 5. 1 − 5 ÷ 1 − 4 6. 2 − 5 ÷ 5 − 6 7. 3 − 7 ÷ − 6 11 8. − 3 10 ÷ 4 − 5 9. 3 − 8 ÷ 6 10. 6 − 7 ÷ 3 11. 4 − 5 ÷ 10 12. − 6 11 ÷ (-8) 13. - 4 − 5 ÷ 5 − 6 14. − 5 12 ÷ (- 3 − 5) 15. - − 3 10 ÷ (- 2 − 5) 16. - − 13 18 ÷ (- 8 − 9 ) 17. 4 1 − 5 ÷ 1 3 − 4 18. 8 1 − 3 ÷ 3 3 − 4 19. -10 1 − 2 ÷ 2 1 − 3 20. OFFICE SUPPLIES A regular paper clip is 1 1 − 4 inches long, and a jumbo paper clip is 1 7 − 8 inches long. How many times longer is the jumbo paper clip than the regular paper clip? 21. STORAGE The ceiling in a storage unit is 7 2 − 3 feet high. How many boxes may be stacked in a single stack if each box is 3 − 4 foot tall? ALGEBRA Evaluate each expression for the given values. 22. r ÷ s if r = - − 7 20 and s = − 7 15 23. m ÷ n if m = 4 − 9 and n = − 11 12 D Homework Practice Divide Rational Numbers 007_026_HPC3C1_892764.indd 13 07_026_HPC3C1_892764.indd 13 2/2/10 9:53:55 PM /2/10 9:53:55 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 14 Course 3 1-1 1. CONTAINER GARDENING One bag of potting soil contains 8 1 − 4 quarts of soil. How many clay pots can be filled from one bag of potting soil if each pot holds 3 − 4 quart? 2. MUSIC Doug has a shelf 9 3 − 4 inches long for storing CDs. Each CD is 3 − 8 inch wide. How many CDs will fit on one shelf? 3. SERVING SIZE A box of cereal contains 15 3 − 5 ounces of cereal. If a bowl holds 2 2 − 5 ounces of cereal, how many bowls of cereal are in one box? 4. HOME IMPROVEMENT Lori is building a path in her backyard using square paving stones that are 1 3 − 4 feet on each side. How many paving stones placed end-to-end are needed to make a path that is 21 feet long? 5. GEOMETRY Given the length of a rectangle and its area, you can find the width by dividing the area by the length. A rectangle has an area of 6 2 − 3 square inches and a length of 2 1 − 2 inches. What is the width of the rectangle? 6. GEOMETRY Given the length of the base b of a parallelogram and its area, you can find its height h by dividing the area by the base. The parallelogram shown has an area of 9 − 9 10 square inches. What is its height? 7. HOBBIES Dena has a picture frame that is 13 1 − 2 inches wide. How many pictures that are 3 3 − 8 inches wide can be placed beside each other within the frame? 8. YARD WORK Leon is mowing his yard, which is 21 2 − 3 feet wide. His lawn mower makes a cut that is 1 2 − 3 feet wide on each pass. How many passes will Leon need to finish the lawn? h 4 in. 1 2 b = D Problem-Solving Practice Divide Rational Numbers 007_026_HPC3C1_892764.indd 14 07_026_HPC3C1_892764.indd 14 2/2/10 9:54:00 PM /2/10 9:54:00 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 15 Course 3 A Get Connected Get Connected For more examples, go to glencoe.com. Look for a pattern in Exercises 1 and 2. 1. GEOMETRY Draw the next two angles in the pattern. 10° 20° 30° 40° a. c. b. d. 2. ANALYZE TABLES A falling object continues to fall faster until it hits the ground. How far will an object fall during the fifth second? Time Period Distance Fallen 1st Second 16 feet 2nd Second 48 feet 3rd Second 80 feet 4th Second 112 feet Use any strategy to solve Exercises 3–6. Some strategies are shown below. PROBLEM-SOLVING STRATEGIES • Look for a pattern • Work backward • Guess, check, and revise • Choose an operation 3. YARD WORK Denzel can mow 1 − 8 of his yard every 7 minutes. If he has 40 minutes to mow 3 − 4 of the yard, will he have enough time? 4. READING Ling read 175 pages by 1:00 P.M., 210 pages by 2:00 P.M., and 245 pages by 3:00 P.M. If she continues reading at this rate, how many pages will Ling have read by 4:00 P.M.? 5. MOVIES The land area of Alaska is about 570 thousand square miles. The land area of Washington, D.C., is about − 3 50 square mile. How many times larger is Alaska than Washington, D.C.? 6. U.S. PRESIDENTS President Clinton served 5 two-year terms as governor of Arkansas and 2 four-year terms as President of the United States. How many total years did he serve in these two government offices? 1-2 Homework Practice Problem-Solving Investigation: Look for a Pattern 007_026_HPC3C1_892764.indd 15 07_026_HPC3C1_892764.indd 15 2/2/10 9:54:04 PM /2/10 9:54:04 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 16 Course 3 A Look for a pattern. Then use the pattern to solve each problem. ENTERTAINMENT For Exercises 1 and 2, use the information at the right, which shows the ticket prices at a skating rink. Number of People in Group Total Cost per Group 1 $1.00 2 $2.00 3 $2.90 4 $3.70 5 $4.40 1. Describe the pattern used to calculate the cost for a group after 2 people. 2. If the pattern continues, what would the cost be for a group of 8 skaters? 3. RUNNING Evie wants to train to run a marathon. For the first four weeks, she ran 3, 6, 9, and 12 miles. If the pattern continues, how many miles will she run in the 6th week of training? 4. AGRICULTURE In a vegetable garden, the second row is 8 inches from the first row, the third row is 10 inches from the second row, the fourth row is 14 inches from the third row, and the fifth row is 20 inches from the fourth row. If the pattern continues, how far will the eighth row be from the seventh row? 5. GEOMETRY Draw the next two figures in the pattern. 6. BIOLOGY A newborn seal pup weighs 4 pounds at the end of the first week, 8 pounds at the end of the second week, 16 pounds at the end of the third week, and 32 pounds at the end of the fourth week. If this growth pattern continues, how many weeks old will the seal pup be before it weighs over 100 pounds? 1-2 Problem-Solving Practice Problem Solving Investigation: Look for a Pattern 007_026_HPC3C1_892764.indd 16 07_026_HPC3C1_892764.indd 16 2/2/10 9:54:10 PM /2/10 9:54:10 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 17 Course 3 Write each percent as a decimal. 1. 70% 2. 40% 3. 135% 4. 369% 5. 0.5% 6. 52.5% 7. 8% 8. 3% Write each decimal as a percent. 9. 0.73 10. 0.84 11. 0.375 12. 0.232 13. 0.005 14. 1.3 15. 4.11 16. 3.52 Write each fraction as a percent. 17. − 13 25 18. − 19 20 19. 5 − 4 20. 9 − 5 21. − 3 40 22. − 7 125 23. 5 − 9 24. 1 − 3 Order each set of numbers from least to greatest. 25. 2 − 5 , 0.5, 4%, − 3 10 26. 0.6, 6%, − 3 20, − 4 25 27. 93%, 0.96, − 47 50, − 19 20 28. 77%, 3 − 4 , − 19 25, 0.73 Replace with <, >, or = to make a true statement. 29. − 1 200 1 − 2 % 30. 2.24 2 2 − 5 % 31. 7 − 8 7 − 8 % 32. TEST SCORES On a science test, Ali answered 38 of the 40 questions correctly, Jamar answered − 9 10 of the questions correctly, and Paco answered 92.5% of the questions correctly. Write Ali’s and Jamar’s scores as percents and list the students in order from the least to the highest score. Get Connected Get Connected For more examples, go to glencoe.com. 1-2 B Homework Practice Compare Rational Numbers 007_026_HPC3C1_892764.indd 17 07_026_HPC3C1_892764.indd 17 2/2/10 9:54:15 PM /2/10 9:54:15 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 18 Course 3 1. BASKETBALL In a recent season, Deanne Nolan of the WNBA team the Detroit Shock made 39% of her 3-point shots. Write this percent as a decimal. 2. POPULATION From 2000 to 2006, the population of New York City increased by 3%. Write this percent as a decimal. 3. BASEBALL Recently, the Chicago White Sox had a team batting average of 0.263. Write this decimal as a percent. 4. POPULATION In 2006, 4.4% of people in the U.S were of Asian descent. Write this percent as a decimal. 5. INTERNET Internet access in the U.S. has increased dramatically in recent years. If 110 out of every 200 households has Internet access, what percent of households has Internet access? 6. VOTING The data below show the rate of voter turnout in three U.S presidential elections. Order the rates from least to greatest as percents. Year Rate of Turnout 1996 49.1% 2000 0.513 2004 − 553 1,000 7. LAND Florida makes up approximately 0.015 of the land mass of the United States. Write this decimal as a percent. 8. READING Over the summer, Chang read 7 − 8 of the books that Alaqua read during the previous school year. Write this fraction as a percent. 1-2 B Problem-Solving Practice Compare Rational Numbers 007_026_HPC3C1_892764.indd 18 07_026_HPC3C1_892764.indd 18 2/2/10 9:54:19 PM /2/10 9:54:19 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 19 Course 3 Get Connected Get Connected For more examples, go to glencoe.com. Solve each problem using a percent proportion. 1. 6 is what percent of 24? 2. 125 is what percent of 375? 3. What is 20% of 80? 4. What is 14% of 440? 5. 28 is 35% of what number? 6. 63 is 63% of what number? 7. GAMES Before discarding, Carolee has 4 green cards, 3 red cards, 3 orange cards, and 1 gold card. If she discards the gold card, what percent of her remaining cards are red? Solve each problem using a percent equation. 8. 4% of what number is 7? 9. 85 is 10% of what number? 10. Find 3 1 − 2 % of 250. 11. What is 7 1 − 4 % of 56? 12. 560 is what percent of 420? 13. 2 1 − 5 % of what number is 44? 14. MUSIC In a recent survey, 47% of teens said they use the Internet to download music. If there were 300 teens surveyed, how many use the Internet to download music? 1-2 C Homework Practice Algebra: The Percent Proportion and Equation 007_026_HPC3C1_892764.indd 19 07_026_HPC3C1_892764.indd 19 2/2/10 9:54:23 PM /2/10 9:54:23 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 20 Course 3 In Exercises 1–4, use a percent proportion. In Exercises 5-8, use a percent equation. 1. DINING OUT Trevor and Michelle’s restaurant bill comes to $35.50. They are planning to tip the waiter 20%. How much money should they leave for a tip? 2. CHESS The local chess club has 60 members. Twenty-four of the members are younger than twenty. What percent of the members of the chess club are younger than twenty? 3. TENNIS In the city of Bridgeport, 75% of the parks have tennis courts. If 18 parks have tennis courts, how many parks does Bridgeport have altogether? 4. COLLEGE There are 175 students in twelfth grade at Silverado High School. A survey shows that 64% of them are planning to attend college. How many Silverado twelfth-grade students are planning to attend college? 5 SPORTS In the 2007-2008 season, the Tampa Bay Buccaneers won 9 out of 16 games in the regular season. What percent of their games did they win? Round to the nearest tenth if necessary. 6. GOLF On a recent round of golf, Shana made par on 15 out of 18 holes. On what percent of holes did Shana make par? Round to the nearest tenth if necessary. 7. DRIVING TEST On the written portion of her driving test, Sara answered 84% of the questions correctly. If Sara answered 42 questions correctly, how many questions were on the driving test? 8. EDUCATION In a certain small town, 65% of the adults are college graduates. How many of the 240 adults living in the town are college graduates? 1-2 C Problem-Solving Practice Algebra: The Percent Proportion and Equation 007_026_HPC3C1_892764.indd 20 07_026_HPC3C1_892764.indd 20 2/2/10 9:54:26 PM /2/10 9:54:26 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 21 Course 3 Find the sale price, selling price, or total cost of each item to the nearest cent. 1. earrings: $20, 6% tax 2. snowcone: $2, 30% markup 3. picture frame: $44, 15% discount 4. potato chips: $4.50, 7.4% tax 5. photo album: $25.50, 10% markup 6. yoyo: $4.50, 15% discount 7. lawn chair: $15, 25% off, 6% tax 8. rake: $27, 15% off, 7.5% tax 9. swimsuit: $22, 5% off, 4% tax 10. jeans: $67, 12% off, 8% tax 11. TRAVEL Theodore is staying at the Comfy Hotel. The hotel charges $145 a night for a room. a. He has a coupon to receive an additional 15% off. What is the cost of the room before tax? b. After he receives the discount, how much will his total bill be if there is an 8% tax? 12. AUTOMOBILES Tayshia is buying a new car. The sales person tells her she will get a goodwill discount of 5% but then will have to pay an 8.75% sales tax. a. If the car Tayshia wants to buy costs $35,000 without the discount, what will the cost be after the discount but before the tax? b. After she receives the discount, how much will her total bill be after taxes? 13. SHOPPING Rosa knows that her mother buys bolts of fabric for her sewing shop wholesale. If a bolt of fabric costs $150 dollars and the markup is 20%, what is the selling price of a bolt of fabric? 1-3 Homework Practice Discount, Markup, and Sales Tax A 007_026_HPC3C1_892764.indd 21 07_026_HPC3C1_892764.indd 21 2/2/10 9:54:29 PM /2/10 9:54:29 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 22 Course 3 1. SPORTS Hector wants to buy a new football. He initially thought it would cost $36, but when he went to the sporting goods store it was discounted 20%. What is the sale price of the football? 2. RESTAURANT Camilla had lunch with her friend Cleavon. Before tax, the bill is $15.45. How much will the bill be if there is a 7.4% sales tax? 3. PHARMACY At Health First Pharmacy, the wholesale price of an asthma medicine is $126. What is the selling price, if the percentage of markup is 42%? 4. SHOPPING Upon entering EZ-Mart, Kyle sees the following sign. What should he pay for a sweater originally selling for $32.50? Everything in the store 10% off! 5. CARNIVAL A ride ticket usually costs $1.50, but if you buy 10 tickets, you get a 5% discount. Find the sale price of 10 tickets which would normally cost $15. 6. SURFBOARD A surf board that costs $112 is on sale for 12% off, and the sales tax is 5.5%. What is the total cost of the surf board? 7. TELEVISION At Total Viewing, the wholesale price of a 52-inch television is $1,950. What does it cost to buy the television if the store’s markup is 15% and the sales tax is 7.5%? 8. BAKERY It costs Mr. Goody $0.85 to make a loaf of bread. What does it cost to buy the loaf if Mr. Goody’s markup is 22% and the sales tax is 8%? 1-3 A Problem-Solving Practice Discount, Markup, and Sales Tax 007_026_HPC3C1_892764.indd 22 07_026_HPC3C1_892764.indd 22 2/2/10 9:54:32 PM /2/10 9:54:32 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 23 Course 3 Find the simple interest to the nearest cent. 1. $350 at 5% for 4 years 2. $750 at 6.5% for 3 years 3. $925 at 4.75% for 3 months 4. $2,050 at 7.65% for 36 months Find the total amount in each account to the nearest cent, assuming simple interest. 5. $1,500 at 6% for 5 years 6. $4,010 at 5.2% for 4 years 7. $16,000 at 3 1 − 4 % for 42 months 8. $3,200 at 6 2 − 3 % for 5 1 − 2 years Find the total amount in each account to the nearest cent if the interest is compounded annually. 9. $320 at 2.5% for 4 years 10. $1,100 at 5% for 4 years 11. $70 at 6 1 − 4 % for 2 years 12. $470 at 6.6% for 24 months 13. HOUSING Mrs. Landry bought a house for $35,000 in 1975. She sold the house for $161,000 in 2005. Find the simple interest rate for the value of the house. 14. CARS Brent’s older brother took out a 4-year loan for $16,000 to buy a car. If the simple interest rate was 8%, how much total will he pay for the car including interest? 15. SAVINGS What is the total amount of money in an account where $300 is invested at an interest rate of 4.5% compounded annually for 5 years? 16. CREDIT Reed borrowed $3,200 from the credit union at an interest rate of 7%. The interest is compounded annually. Suppose he made no payments. How much does he owe at the end of the 3 years? Get Connected Get Connected For more examples, go to glencoe.com. 1-3 B Homework Practice Financial Literacy: Interest 007_026_HPC3C1_892764.indd 23 07_026_HPC3C1_892764.indd 23 2/2/10 9:54:35 PM /2/10 9:54:35 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 24 Course 3 1. SAVINGS ACCOUNT How much interest will be earned in 3 years from $730 placed in a savings account at 6.5% simple interest? 2. INVESTMENTS Salvador’s investment of $2,200 in the stock market earned $528 in two years. Find the simple interest rate for this investment. 3. SAVINGS ACCOUNT Lonnie places $950 in a savings account that earns 5.75% interest compounded annually. Find the total amount in the account after five years. 4. INHERITANCE William’s inheritance from his great uncle came to $225,000 after taxes. If William invests this money in a savings account at 7.3% simple interest, how much will he earn from the account each year? 5. RETIREMENT Han has $410,000 in a retirement account that earns $15,785 each year. Find the simple interest rate for this investment. 6. COLLEGE FUND When Jin was born, her parents put $8,000 into a college fund account that earned 9% interest compounded annually. Find the total amount in the account after 2 years. 7. MONEY Leora won $800,000 in a state lottery. After paying $320,000 in taxes, she invested the remaining money in a savings account at 4.25% interest compounded annually. What is the total amount of money in her account after 4 years? 8. SAVINGS Mona has an account with a balance of $738. She originally opened the account with a $500 deposit and a simple interest rate of 5.6%. If there were no deposits or withdrawals, how long ago was the account opened? 1-3 B Problem-Solving Practice Financial Literacy: Interest 007_026_HPC3C1_892764.indd 24 07_026_HPC3C1_892764.indd 24 2/2/10 9:54:38 PM /2/10 9:54:38 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 25 Course 3 Find each percent of change. Round to the nearest tenth if necessary. State whether the percent of change is an increase or a decrease. 1. original: 20 rooms 2. original: 110 tickets new: 15 rooms new: 175 tickets 3. original: $312 4. original: 92 hours new: $400 new: 62 hours 5. original: 75 minutes 6. original: 620 miles new: 45 minutes new: 800 miles 7. POLLS In a presidential poll taken last week, 182 people said they would vote for the democratic candidate. This week, when the poll was taken again, 150 people said they would vote for the democratic candidate. Find the percent of change. Round to the nearest tenth if necessary. State whether the change is an increase or decrease. 8. TRAFFIC The Florida Department of Transportation wanted to know how many vehicles passed through a particular intersection weekly. During the first week, 470 vehicles passed through the intersection. During the second week, 600 vehicles passed through the intersection. Find the percent of change. Round to the nearest tenth if necessary. State whether the change is an increase or decrease. 9. COMMISSION Nino works at a furniture store. Last week he earned $130 in commission. This week he earned $90 in commission. Find the percent of change. Round to the nearest tenth if necessary. State whether the change is an increase or decrease. 1-3 D Homework Practice Percent of Change 007_026_HPC3C1_892764.indd 25 07_026_HPC3C1_892764.indd 25 2/2/10 9:54:41 PM /2/10 9:54:41 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 1 26 Course 3 1. CLUBS Last year the chess club had 20 members. This year the club has 15 members. Find the percent of change. Round to the nearest tenth if necessary. State whether the change is an increase or decrease. 2. READING During Todd’s junior year in high school, he read 15 books. In his senior year, he read 18 books. Find the percent of change. Round to the nearest tenth, if necessary. State whether the change is an increase or decrease. 3. INCOME La’Rae earned $612 last week and $820 this week. Find the percent of change. Round to the nearest tenth if necessary. State whether the change is an increase or decrease. 4. SOFTBALL Eileen plays softball. Last year she had 34 extra base hits. This year she had 21. Find the percent of change. Round to the nearest tenth if necessary. State whether the change is an increase or decrease. 5. TRAVEL Micha is on vacation. Yesterday he traveled 512 miles. Today he traveled 212 miles. Find the percent of change. Round to the nearest tenth if necessary. State whether the change is an increase or decrease. 6. GROWTH Last year Becca was 48 inches tall. This year she is 52 inches tall. Find the percent of change. Round to the nearest tenth if necessary. State whether the change is an increase or decrease. 7. PRICING The table shows the change in price of three items sold at Eisenbach’s Grocery Store. Find the percent of change in the price of potatoes. Round to the nearest tenth if necessary. State whether the change is an increase or decrease. Item Old Price New Price Beans $2.75 per lb $2.20 per lb Potatoes $4.00 per lb $3.30 per lb Tomatoes $5.15 per lb $5.00 per lb 1-3 D Problem-Solving Practice Percent of Change 007_026_HPC3C1_892764.indd 26 07_026_HPC3C1_892764.indd 26 2/2/10 9:54:44 PM /2/10 9:54:44 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 27 Course 3 2-1 A Use the make a table strategy to solve Exercises 1 and 2. 1. LIZARDS Biologist recorded the number of lizards and scorpions they found in the desert each month. In which month can they expect to find the same number of lizards and scorpions? Month Number of Lizards Found Number of Scorpions Found 1 16 10 2 20 15 3 24 20 4 28 25 5 32 30 2. INVENTORY At the end of each day, the manager of a bookstore runs an inventory program that reports the activity for the day. At 10:00 A.M. there were 2,500 books on the shelves in the bookstore. Every 15 minutes, 10 books were sold. Every hour, 25 books were stocked on the shelves. What was the count at 5:00 P.M. when the store closed? Use any strategy to solve Exercises 3–5. Some strategies are shown below. Problem-Solving Strategies • Make a table. • Use logical reasoning. • Guess, check, and revise. • Choose an operation. 3. ART FAIR At the art fair, 95 artists exhibited their work. Of those 95 artists, 25 showed sculptures and 48 showed paintings. If 12 showed both sculptures and paintings, how many artists showed only sculptures or paintings? 4. BABY ELEPHANT The table shows the weight increase of a baby elephant. If the trend continues, about how much will the elephant weigh at the age of one year? Month Weight (pounds) 0 230 1 320 2 410 3 500 5. GEOGRAPHY Finland has a land area of 117,943 square miles. If the total area of Finland is 130,128 square miles, what percent of Finland’s total area is water, to the nearest tenth of a percent? Mixed Problem Solving Homework Practice Problem-Solving Investigation: Make a Table 027_044_HPC3C2_892764.indd 27 27_044_HPC3C2_892764.indd 27 2/2/10 9:55:06 PM /2/10 9:55:06 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 28 Course 3 2-1 A Make a table to solve each problem. 1. CAR RENTAL Lawrence wants to rent a car for a family vacation. The prices to rent the car from two different companies are shown below. For how many miles must he drive for the cost from each company to be the same? Company Base Cost per Week Cost per Mile A-Z Car Rental $249 $0.10 Valley Car Rental $299 $0.05 2. ENROLLMENT The school keeps track of the number of students in each grade. At the beginning of the year, there were 240 6th graders, 280 7th graders, and 310 8th graders. Each month, 10 more students in each class enrolled but 2 students moved. What will be their total enrollment after 5 months? 3. SPORTS The table shows the total number of runs scored by a baseball team throughout the season. Assuming the runs were scored at a steady rate, how many runs were scored in the 6th month? Month Total Number of Runs 1 25 2 50 3 75 4 100 4. SPAM EMAILS Marjeen keeps track of how many spam emails she receives each day and totals the emails in a table as shown below. At this rate, what will be her total after one week? Day Total Number of Spam E-mails 1 10 2 17 3 24 4 31 5. DISTANCE To train for a marathon, Nuveen adds three more miles to his running routine every week. If he runs 2 miles the first week, how many miles will he have run altogether after five weeks? 6. PLANTS The table below shows the height of a tomato plant. Assuming the plant grows at the same rate, what will be the height of the plant after eight weeks? Week Height (in.) 1 3 2 8 3 13 4 18 Problem-Solving Practice Problem-Solving Investigation: Make a Table 027_044_HPC3C2_892764.indd 28 27_044_HPC3C2_892764.indd 28 2/2/10 9:55:22 PM /2/10 9:55:22 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 29 Course 3 2-1 Get Connected Get Connected For more examples, go to glencoe.com. Evaluate each expression if f = 3 and g = 5. 1. 4f – 2g 2. 3(f + g) − 8 3. − 6fg 5f+3 4. 4(g + 6) ÷ 11 5. − f g-2 6. 6fg − 2 Evaluate each expression if a = −3, b = 4, and c = 6. 7. 3c + 4 – 2b 8. 4(a + c) – b 9. − 6 + 2c 5a - 3 10. bc − - 4a c 11. − ab c-2 12. − abc 3 Translate each phrase into an algebraic expression. 13. $250 plus the current balance 14. half the number of players 15. three plus twice the number of baseball cards 16. $1 less than three times the price 17. POLLS In a county poll taken last week 184 people said they would vote for the incumbent candidate. Each week, when the poll was taken again, the number of people who said they would vote for the incumbent went down by eight. a. Write an expression to find the total number of people who would vote for the incumbent in any week. b. Find the number of people in the fifth week who would vote for the incumbent. 18. TRAFFIC The Florida Department of Transportation found that 420 vehicles passed through an intersection in one week. Each week, ten more vehicles passed through the intersection than the week before. a. Write an expression to find the number of vehicles that passed through the intersection in any week. b. Find the number of vehicles that passed through the intersection during the fourth week. B Homework Practice Variables and Expressions 027_044_HPC3C2_892764.indd 29 27_044_HPC3C2_892764.indd 29 2/2/10 9:55:25 PM /2/10 9:55:25 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 30 Course 3 2-1 1. MONEY Last year the computer club had $300 in its savings account. Each month, the members contributed an additional total of $24. a. Write an expression representing the balance in the account in any month. b. Find the balance after four months. 2. PARKING GARAGE The rates to park in a garage are given in the table below. The table continues with the same pattern. Hours, h Rate 1 $3 2 $5 3 $7 4 $9 a. Write an expression to find the total cost to park for any number of hours. b. Find the total cost to park for 8 hours. 3. INCOME Each week, LaJuan earns $8 per hour plus a bonus of $20 if he works 40 hours. a. Write an expression representing the earnings rate for LaJuan if he works for more than 40 hours. b. Find the total salary for one week if LaJuan worked 43 hours. 4. TEMPERATURE The temperature in degrees Fahrenheit is 32 more than 9 − 5 the temperature in degrees Celsius. a. Write an expression to convert from Celsius to Fahrenheit. b. If the temperature is 25 degrees Celsius, find the temperature in degrees Fahrenheit. 5. T-SHIRTS The soccer team wants to order T-shirts. The T-shirts cost $20 each plus a shipping fee of $8. a. Write an expression representing the cost of ordering T-shirts. b. If there are 18 students on the soccer team, how much do they have to pay for the T-shirts? 6. GROWTH Arun has been growing at an average rate of two inches per year since 5th grade when he measured 42 inches. a. Write an expression for Arun’s height for any year. b. What is Arun’s height in eighth grade? B Problem-Solving Practice Variables and Expressions 027_044_HPC3C2_892764.indd 30 27_044_HPC3C2_892764.indd 30 2/2/10 9:55:30 PM /2/10 9:55:30 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 31 Course 3 2-1 Name the ordered pair for each point. 1. A 2. B 3. C 4. D Graph each ordered pair on a coordinate plane. 5. (1, 1 − 2) 6. (1, −2) 7. (− 1 − 2 , 2) 8. (2, − 1 − 2) Express the relation as a table and a graph. Then state the domain and range. 9. {(3, −4), (2, 0), (−4, −1), (0, −3)} x y 10. TELEVISION Alton pays $48 per month for satellite television service. a. Make a table of ordered pairs in which the x-coordinate represents the number of months and the y-coordinate represents the total cost for 1, 2, 3, or 4 months. b. Graph the ordered pairs. y 0 x -1 -2 -2 12 -1 1 2 # $ " % y 0 x y 0 x Get Connected Get Connected For more examples, go to glencoe.com. x y C Homework Practice Ordered Pairs and Relations 027_044_HPC3C2_892764.indd 31 27_044_HPC3C2_892764.indd 31 2/2/10 9:55:34 PM /2/10 9:55:34 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 32 Course 3 2-1 1. MONEY The Happy Place charges $30 per hour for parties. Make a table of ordered pairs in which the x-coordinate represents the hours and the y-coordinate represents the total cost for 2, 3, 4, and 5 hours. x y 2. Graph the ordered pairs from Exercise 1 and state the domain and range. 3. CAR RENTALS The ABC Car Rental Company charges a flat rate $58 per day. Make a table of ordered pairs in which the x-coordinate represents the number of days and the y-coordinate represents the total cost for 1, 3, 5, and 7 days. x y 4. PRODUCE A company that sells produce fills 350 boxes of squash per day. Make a table of ordered pairs in which the xcoordinate represents the number of days and the y-coordinate represents the number of boxes filled in 1, 2, 3, and 4 days. x y 5. Graph the ordered pairs from Exercise 4. 6. BABIES Shaqueem’s baby brother drinks 4 ounces of formula every 3 hours. Make a table of ordered pairs in which the x-coordinate represents the number of hours and the y-coordinate represents the total number of ounces in 3, 6, 9, and 12 hours. x y C Problem-Solving Practice Ordered Pairs and Relations 027_044_HPC3C2_892764.indd 32 27_044_HPC3C2_892764.indd 32 2/2/10 9:55:43 PM /2/10 9:55:43 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 33 Course 3 Write an expression that can be used to find the nth term of each sequence. Then use the expression to find the next three terms. 1. Term Number, n 1234 Term 1 − 8 1 − 4 3 − 8 1 − 2 2. Term Number, n 1234 Term 10 26 42 58 3. 9, 17, 25, 33, … 4. 1, −5, −11, −17, … 5. 1 − 6 , 1 − 4 , 1 − 3 , − 5 12, … 6. 5 1 − 2 , 8, 10 1 − 2 , 13, … 7. 3, 8, 13, 18, … 8. 45, 60, 75, 90, … 9. SPEED Tremelle increases the number of laps she swims each week. a. Write an expression that can be used to find how many laps Tremelle will swim in the nth week. b. How many laps will Tremelle swim in her eighth week of swimming? 10. TICKETS Ms. Jones wants to buy reserved seating tickets to a comedy show. There are different options available, depending on how many tickets she buys. a. Write an expression that can be used to find how much the tickets will cost for n people. b. How much will the tickets cost if she buys ten tickets? Week Laps 1 6 2 8 3 10 4 12 Number of People Cost ($) 1 25 2 30 3 35 4 40 Get Connected Get Connected For more examples, go to glencoe.com. 2-2 B Homework Practice Analyze Tables 027_044_HPC3C2_892764.indd 33 27_044_HPC3C2_892764.indd 33 2/2/10 9:55:48 PM /2/10 9:55:48 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 34 Course 3 1. SPEED Lagan increases the number of minutes she practices piano each day. Write an expression that can be used to find how many minutes Lagan will practice on the nth day. Day Minutes 1 10 2 14 3 18 4 22 2. In Exercise 1, how many total minutes will Lagan practice in her first five days of playing piano? 3. ENTRY FEES Ramon wants to buy entry fee tickets for Joe’s Sports Park. The different options available are shown in the table. Number of People Cost ($) 1 14 2 19 3 24 4 29 a. Write an expression that can be used to find the cost of fees for n people. b. How much will it cost if he buys tickets for 12 people? 4. RUNNING Piera increases the number of miles she runs each week. Week Number of Miles 1 3 2 3.5 3 4 4 4.5 a. Write an expression that can be used to find the number of miles she runs on the nth day. b. How many weeks will it take for her to be running 9 miles per week? 5. PHONE The local telephone company charges a monthly fee of $48 for their service. However, after 20 minutes of long distance, an additional fee per minute of long distance is charged. Write an expression that can be used to find how much n minutes of long distance will cost after the first 20 minutes. 6. In Exercise 4, Piera decides to stop increasing the weekly number of miles she runs after six months. At that time, will she be running 15 miles per week? Explain. Minutes of Long Distance Total Cost ($) 20 48.00 21 48.15 22 48.30 23 48.45 2-2 B Problem-Solving Practice Analyze Tables 027_044_HPC3C2_892764.indd 34 27_044_HPC3C2_892764.indd 34 2/2/10 9:55:52 PM /2/10 9:55:52 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 35 Course 3 Write an algebraic expression to represent data in the graph. 1. Number of Cans in Pantry 20 15 10 5 0 30 25 40 35 1234 Day Number Cat Food (0, 34) (2, 28) (3, 25) (1, 31) (4, 22) 2. Depth (in.) 40 30 20 10 0 60 50 70 1234 Time Digging (h) Digging Holes (2, 33) (3, 48) (4, 63) (1, 18) 3. ELECTRICIAN The graph shows the amounts of Amount of Bill ($) 200 250 100 150 50 0 300 1234 Number of Hours Worked Electrician’s Charges (3, 240) (4, 295) (1, 130) (2, 185) money an electrician charges for jobs that take a different number of hours to complete. a. Write the ordered pairs in the graph as a table. b. Write an expression that could be used to find the amount of money the electrician would charge for a job that takes any number of hours. c. How much would the electrician charge for a job that takes 9 hours? 4. PARKING The graph shows the number of cars Number of Cars in Garage 100 75 50 25 0 150 125 200 175 12345 6 7 Hours after Gate Opens Parking Garage (5, 167) (4, 142) (3, 117) (6, 192) in a parking garage. a. Write an algebraic expression to represent the data in the graph. b. How many cars do you expect to be in the garage 7 hours after the gate opens? Get Connected Get Connected For more examples, go to glencoe.com. 2-2 C Homework Practice Analyze Graphs 027_044_HPC3C2_892764.indd 35 27_044_HPC3C2_892764.indd 35 2/2/10 9:55:56 PM /2/10 9:55:56 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 36 Course 3 Data about a hiking trail are shown in the graphs below. Use the graphs to answer the exercises. Temperature (ºF) 40 30 20 10 0 60 50 80 70 1 2 3 4 5 6 Elevation (thousands of feet) Trail Temperatures (High) (2, 84) (3, 81) (4, 78) (5, 75) (6, 72) Elevation (ft) 4000 3000 2000 1000 0 6000 5000 7000 1 2 3 4 Distance Traveled (mi) Trail Elevations (3, 5500) (4, 6150) (1, 4200) (2, 4850) 1. CLOTHING Consuelo wants to be sure she dresses appropriately. What expression can she use to determine the temperature at any elevation? 2. SUMMIT The trail leads to the summit of a mountain which has an elevation of 9,500 feet. What will be the temperature at the summit? 3. PHOTOS Jarvis knows that he will have scenic photo opportunities at certain elevations. What expression can he use to determine the elevation after any number of miles traveled? 4. LUNCH Masako will have lunch after hiking 8 miles. At what elevation will Masako have lunch? 5. WILDLIFE Claudia spotted a goat after hiking for 6 miles. At what elevation did Claudia spot the goat? 6. SHOELACES Mayon stopped to tie his shoelaces after hiking one mile. What was the temperature of the spot where he tied his laces? 2-2 C Problem-Solving Practice Analyze Graphs 027_044_HPC3C2_892764.indd 36 27_044_HPC3C2_892764.indd 36 2/2/10 9:56:03 PM /2/10 9:56:03 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 37 Course 3 1. PRODUCTION A manufacturer produces 950 light bulbs per day. a. Write an equation to find the number of bulbs b the manufacturer makes in any number of days d. b. Use the equation to determine how many bulbs the manufacturer will make in 25 days. 2. WATER The workers at a plant drink 38 gallons of water per day. a. Write an equation to find the number of gallons g the workers drink in any number of days d. b. Use the equation to determine how many gallons of water the workers will drink in 30 days. 3. ALLOWANCE Chet gets $12 per week as allowance. a. Write an equation to find the amount of allowance a Chet receives in any number of weeks w. b. Make a table to find the amount of allowance Chet receives in 5, 6, 7, or 8 weeks. Then graph the ordered pairs. Weeks, w Allowance, a 4. MEASUREMENT There are 16 ounces in a pound. a. Write an equation to find the number of ounces o in any number of pounds p. b. Make a table to find the number of ounces in 2, 3, 4, or 5 pounds. Then graph the ordered pairs. Pounds, p Ounces, o Days, d Bulbs, b 1 950 2 1,900 3 2,850 4 3,800 Days, d Gallons, g 1 38 2 76 3 114 4 152 Get Connected Get Connected For more examples, go to glencoe.com. 2-2 D Homework Practice Translate Tables and Graphs into Equations 027_044_HPC3C2_892764.indd 37 27_044_HPC3C2_892764.indd 37 2/2/10 9:56:08 PM /2/10 9:56:08 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 38 Course 3 1. MEASUREMENT Use the table to write an equation to find the number of inches i in any number of meters m. Use the equation to find the number of inches in 9 meters. Meters, m Inches, i 1 39 2 78 3 117 4 156 2. TOOLS A home improvement store sells band saws for $150 plus $4 for each extra blade. Write an equation to find the total cost c of a band saw with any number of extra blades e. Use the equation to find the cost of a band saw with 4 extra blades. 3. AQUARIUM An aquarium costs $85 plus $2 per fish. Write an equation to find the cost c of an aquarium plus any number of fish f. Make a table to find the cost of an aquarium plus 3, 4, 5, or 6 fish. 4. SALES A florist sells roses by the dozen. Write an equation to find the total cost c of r dozens of roses. 0 20 30 50 70 10 40 60 80 90 123 5 7 468 Total Cost of Roses Number of Dozens (1, 20) (2, 40) (3, 60) (4, 80) (5, 100) 5. BOATING Boat rentals are $50 plus $4 per hour. Write an equation to find the total cost c to rent a boat for any number of hours h. Make a table to find the cost of renting a boat for 4, 5, 6, or 7 hours. 6. SWIMMING Private swimming lessons cost $30 per visit plus $3 per child in the group. Write an equation to find the total cost t of a swimming lesson for any number of children c. Use the equation to find the cost of a lesson for 3 children. 2-2 D Problem-Solving Practice Translate Tables and Graphs into Equations 027_044_HPC3C2_892764.indd 38 27_044_HPC3C2_892764.indd 38 2/2/10 9:56:14 PM /2/10 9:56:14 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 39 Course 3 Find each function value. 1. f(6) if f(x) = 4x 2. f(8) if f(x) = x + 11 3. f(3) if f(x) = 2x + 4 4. f(5) if f(x) = 3x - 2 5. f(-6) if f(x) = 4x + 7 6. f(-14) if f(x) = 2x - 3 7. f (2 − 9) if f(x) = 3x + 1 − 3 8. f (3 − 4) if f(x) = 2x - 1 − 4 9. f (4 − 5) if f(x) = 4x - 1 − 5 Choose four values for x to make a function table for each function. Then state the domain and range of the function. 10. f(x) = 5x - 4 11. f(x) = 2 - 3x 12. f(x) = 6 + 2x x 5x - 4 f(x) x 2 - 3x f(x) x 6 + 2x f(x) 13. f(x) = x - 7 14. f(x) = 9x 15. f(x) = 3x + 5 x x - 7 f(x) x 9x f(x) x 3x + 5 f(x) 16. JACKETS The school baseball team wants to have each player’s name imprinted on the player’s jacket. The cost is $75 plus $8.50 for each name. Write a function to represent the cost c(n) for n names. What is the cost to have names imprinted on 25 jackets? 17. LEMONADE Gene sold 10 glasses of lemonade while setting up his lemonade stand. After opening, he sold an average of 20 glasses each hour. Write a function to represent the approximate number of glasses g(h) sold after h hours. About when did he sell the 100th glass of lemonade? Get Connected Get Connected For more examples, go to glencoe.com. 2-3 B Homework Practice Functions 027_044_HPC3C2_892764.indd 39 27_044_HPC3C2_892764.indd 39 2/2/10 9:56:19 PM /2/10 9:56:19 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 40 Course 3 1. JOBS Strom works as a valet at the Westside Mall. He makes $48 per day plus $1 for each car that he parks. The total amount that Strom earns in one day can be found using the function f(x) = x + 48, where x represents the number of cars that Strom parked. Make a function table to show the total amount that Strom makes in one day if he parks 25 cars, 30 cars, 35 cars, and 40 cars. 2. PLUMBING Rico’s Plumbing Service charges $80 for a service call plus $65 per hour for labor. The total charge can be found using the function f(x) = 65x + 80, where x represents the number of hours of labor. Make a function table to show the total amount that Rico’s Plumbing Service charges if a job takes 1 hour, 2 hours, 3 hours, and 4 hours. 3. GEOMETRY The perimeter of an equilateral triangle equals 3 times the length of one side. Write a function using two variables for this situation. Find the perimeter of an equilateral triangle with sides 18 inches. 4. HEALTH CLUB Courtney belongs to a health club that charges a monthly fee of $20, plus $85 to join. Write a function to represent her costs. How much has she paid after six months? 5. LIBRARY FINES The amount that Sunrise Library charges for an overdue book is $0.25 per day plus a $1 service charge. Write a function using two variables for this situation. 6. LIBRARY FINES Explain how to find the amount of the fine the library in Exercise 5 will charge for a book that is overdue by 12 days. Then find the amount. x 65x + 80 f(x) x x + 48 f(x) 2-3 B Problem-Solving Practice Functions 027_044_HPC3C2_892764.indd 40 27_044_HPC3C2_892764.indd 40 2/2/10 9:56:24 PM /2/10 9:56:24 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 41 Course 3 Graph each function. 1. y = 2x 2. y = -4x 3. y = x - 4 y 0 x y 0 x y 0 x 4. y = x + 3 5. y = 3x + 1 6. y = 1 − 4 x + 2 y 0 x y 0 x y 0 x 7. CARPENTRY Mrs. Valdez can assemble a chair in 1 day y x and a table in 4 days. Graph the function y = 5 - 1 − 4 x to determine how many of each type of furniture Mrs. Valdez can assemble in 20 days. Is the function continuous or discrete? Explain. 8. FITNESS A fitness center has set a goal to have 500 y x members. The fitness center already has 150 members and adds an average of 25 members per month. The function f(x) = 150 + 25x represents the membership after x months. Graph the function to determine the number of months it will take for the fitness center to reach its membership goal. Is the function continuous or discrete? Explain. 2-3 C Homework Practice Linear Functions 027_044_HPC3C2_892764.indd 41 27_044_HPC3C2_892764.indd 41 2/2/10 9:56:28 PM /2/10 9:56:28 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 42 Course 3 1. FUEL CONSUMPTION The function d = 18g describes the distance d that Rick can drive his truck on g gallons of gasoline. Graph this function. Why is it sufficient to graph this function in the upper right quadrant only? How far can Rick drive on 2.5 gallons of gasoline? d g 0 2 4 6 8 10 20 40 60 80 100 Distance (mi) Gasoline (gal) 2. HOTELS The function c = 0.5m + 1 describes the cost c in dollars of a phone call that lasts m minutes made from a room at the Shady Tree Hotel. Graph the function. Use the graph to determine how much a 7-minute call will cost. c m 0 2 4 6 8 10 1.00 2.00 3.00 4.00 5.00 Cost ($) Length of Call (min) 3. A computer store charges $45 for materials and $50 an hour for service to install two new programs and a connection. The cost C(h) is a function of the number of hours h it takes to do the job. Graph the function C(h) = 45 + 50h. How much will a 3-hour installation cost? 150 100 50 200 250 300 Cost ($) Hour 0 y x 0.5 2 2.5 3 1 1.5 4. GIFTS Jonah received $300 in cash gifts for his fourteenth birthday. The function y = 300 – 25x describes the amount y remaining after x weeks if Jonah spends $25 each week. Graph the function and determine the amount remaining after 9 weeks. y x 0 4 8 12 16 100 200 300 400 Amount Remaining ($) Week 5. GIFTS Explain how you can use your graph in Exercise 4 to determine during which week the amount remaining will fall below $190. Then find the week. 6. Ron got a cell phone rate of C(a) = 0.22 + 0.10a. Graph the cost per minute. How much will a five-minute call cost? 50 40 30 60 70 80 Rate (¢) Minutes 0 y x 1 45 2 3 2-3 C Problem-Solving Practice Linear Functions 027_044_HPC3C2_892764.indd 42 27_044_HPC3C2_892764.indd 42 2/2/10 9:56:41 PM /2/10 9:56:41 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 43 Course 3 Determine whether each table represents a linear or a nonlinear function. Explain. 1. x 1234 y 4567 2. x 0246 y 2 6 18 38 3. x 4 6.5 9 11.5 14 y 3 8 13 18 23 4. x 1.5 3 4.5 6 y 2 4 8 16 5. The table shows the cost of long distance calls as a function of the number of minutes used. Is the cost a linear or nonlinear function of the number of minutes used? Explain. Number of Minutes 40 80 120 160 200 Cost($) $4.00 $8.00 $12.00 $16.00 $20.00 6. MINIMUM WAGE The state of Washington has the highest hourly minimum wage in the United States. The graphic shows Washington's minimum wage from 1999 to 2006. Would you describe the yearly increase as linear or nonlinear? Explain your reasoning. 1999 2000 2001 2002 2003 2004 2005 2006 0 $5.00 $6.00 $7.00 $8.00 Year Hourly Wage Washington's Minimum Wage $7.63 $7.16 $7.35 $7.01 $6.90 $6.72 $6.50 $5.70 2-3 D Homework Practice Linear and Nonlinear Functions 027_044_HPC3C2_892764.indd 43 27_044_HPC3C2_892764.indd 43 2/2/10 9:56:47 PM /2/10 9:56:47 PM

NAME ________________________________________ DATE _____________ PERIOD _____ 1st Pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 2 44 Course 3 GEOMETRY For Exercises 1 and 2, use the s s following information. Recall that the perimeter of a square is equal to 4 times the length of one of its sides, and the area of a square is equal to the square of one of its sides. 1. Write a function for the perimeter of the square. Is the perimeter of a square a linear or nonlinear function of the length of one of its sides? Explain. 2. Write a function for the area of the square. Is the area of a square a linear or nonlinear function of the length of one of its sides? Explain. 3. BUSINESS The Devon Tool Company uses the equation p = 150t to calculate the gross profit p the company makes, in dollars, when it sells t tools. Is the gross profit a linear or nonlinear function of the number of tools sold? Explain. 4. GRAVITY A camera is accidentally dropped from a balloon at a height of 300 feet. The height of the camera after falling for t seconds is given by h = 300 - 16t2 . Is the height of the camera a linear or nonlinear function of the time it takes to fall? Explain. 5. LONG DISTANCE The table shows the charge for a long distance call as a function of the number of minutes the call lasts. Is the charge a linear or nonlinear function of the number of minutes? Explain. Minutes 1 2 3 4 Cost (¢) 5 10 15 20 6. DRIVING The table shows the cost of a speeding ticket as a function of the speed of the car. Is the cost a linear or nonlinear function of the car’s speed? Explain. Speed (mph) 70 80 90 100 Cost ($) 25 50 150 300 2-3 D Problem-Solving Practice Linear and Nonlinear Functions 027_044_HPC3C2_892764.indd 44 27_044_HPC3C2_892764.indd 44 2/2/10 9:56:51 PM /2/10 9:56:51 PM