NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 195 Course 3 12-1 B Graph each function. 1. y = 0.1x3 + 1 2. y = 1 − 4 x3 3. y = 0.2x3 y O x y O x y O x 4. y = 1 − 3 x3 5. y = -4x3 6. y = 1 − 2 x3 y O x y O x y O x 7. y = - 1 − 4 x3 8. y = -0.2x3 9. y = 0.1x3 y O x y O x y O x 10. MEASUREMENT Write a function to find the volume 4a cm a cm a cm of the prism at the right. Then graph the function in the first quadrant. Use your graph to estimate the volume of the prism if a = 2 centimeters. y 0 x 5 10 15 20 25 30 35 40 12345678 Get Connected Get Connected For more examples, go to glencoe.com. Homework Practice Graph Cubic Functions 193_212_HPC3C12_892764.indd 195 93_212_HPC3C12_892764.indd 195 2/2/10 10:15:12 PM /2/10 10:15:12 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 196 Course 3 12-1 B 1. MEASUREMENT A rectangular prism with a square base of side length x centimeters has a height of (x + 2) centimeters. Write the function for the volume V of the prism. Graph the function. Then estimate the dimensions of the box that would give a volume of approximately 96 cubic centimeters. y 0 1234 x 20 30 10 40 50 60 70 80 90 2. MEASUREMENT A pyramid with a square base of side length x inches has a height of (x + 4) inches. Write the function for the volume V of the pyramid. Graph the function. Then estimate the length of one side of the square base of the pyramid if the volume is approximately 21 cubic inches. y 0 1234 x 6 9 3 12 15 18 21 24 27 3. MEASUREMENT The formula for the volume V of a basketball is given by the equation V = 4 − 3 πr3 where r represents the radius of the ball. Graph this function. Then estimate the length of the radius if the volume of the basketball is approximately 463 cubic inches. y 0 1 4 2 3 6 5 8 7 9 x 100 150 50 200 250 300 350 400 450 4. MEASUREMENT Explain why only quadrant I is used when creating a table or graph involving volume. Problem-Solving Practice Graph Cubic Functions 193_212_HPC3C12_892764.indd 196 93_212_HPC3C12_892764.indd 196 2/2/10 10:15:34 PM /2/10 10:15:34 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 197 Course 3 Use algebra tiles to model each polynomial. 1. 7 - 4x 2. 3x + 2 + x2 Simplify each polynomial. Use models if needed. 3. 2x2 - 6 + 4x2 + 2 Y 2 Y 2 Y 2 Y 2 Y 2 Y 2 -1 -1 -1 -1 -1 -1 1 1 4. 5 - x + 3x - 2 -Y Y Y Y -1 1 -1 1 1 1 1 5. 3 - x2 + 5 + 2x2 Y 2 Y 2 - Y 2 1 1 1 1 1 1 1 1 6. 5x2 + 2x2 - 2x + 3 Y 2 Y 2 Y 2 Y 2 Y 2 Y 2 Y 2 1 1 1 -Y -Y 7. x2 - 5x + 2 + 3x2 + 8x - 7 8. -7 - 5x + 9x + 10 Simplify each polynomial. 9. 2 − 3 x2 + 4x + 5 − 3 x2 - 3 − 5 x + 6 1 − 3 10. 4.2x2 - 2x + 1.1x2 - 3.6 11. BANANAS Amani bought x bananas, Somnuck bought 4x bananas, and Eleanor bought 6 bananas. Write and simplify a polynomial expression to represent the total number of bananas these three people bought. Get Connected Get Connected For more examples, go to glencoe.com. 12-2 A Homework Practice Polynomials 193_212_HPC3C12_892764.indd 197 93_212_HPC3C12_892764.indd 197 2/2/10 10:15:42 PM /2/10 10:15:42 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 198 Course 3 1. GEOMETRY Write and simplify a polynomial expression for the perimeter of the rectangle. (x 2 + 3x ) in. (x 2 + 5x ) in. 2. DESSERTS Terri paid 2x + 6 dollars for pudding, Sherwin paid 3x - 5 dollars for sherbet, and Pia paid x + 8 dollars for ice cream. Write and simplify a polynomial expression for the total these three students spent on dessert. 3. CABLE TELEVISION Roberta has basic cable television service. The table gives the cost of various options. Write and simplify a polynomial expression to represent the cost if Roberta paid her monthly fee and bought x movies and x football games during the month. Option Cost ($) Monthly fee 29 Movie 5 Football Game 3 4. DOG WALKING Brenton walked his dog x blocks, Peyton walked his dog four times as far, and Toya walked her dog 7 blocks. Write and simplify a polynomial expression to represent the total number of blocks these three students walked their dogs. 5. TEXT MESSAGES Sarah sent 2x + 6 text messages and received 3x - 4 text messages. Write and simplify a polynomial expression to represent the total number of text messages Sarah sent and received. 6. MUSIC Travis played the triangle in music class. Write and simplify a polynomial expression to represent the perimeter of the triangle. (4x -1) cm (4x -1) cm (4x -1) cm 12-2 A Problem-Solving Practice Polynomials 193_212_HPC3C12_892764.indd 198 93_212_HPC3C12_892764.indd 198 2/2/10 10:15:52 PM /2/10 10:15:52 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 199 Course 3 B Add. Use models if needed. 1. (9x + 7) + (x + 3) 2. (3x2 - 4x + 6) + (x2 - 5x) 3. (-3x2 + 15) + (-3x + 2) 4. (-2x + 10) + (-8x - 1) 5. (x2 - 2x + 4) + (x2 + x - 11) 6. (3x2 + 8x + 9) + (x2 - 6x - 1) 7. (x2 - 6x + 3) + (5x2 - 4) 8. (x2 + 2x - 4) + (3x2 - x + 9) 9. (-8x + 2) + (-5x + 7) 10. (-4x - 2) + (13x + 1) 11. (2x2 - 7x - 14) + (x - 6) 12. (12x2 + 3x) + (-7x + 5) 13. (3x2 + 4x - 1) + (-5x2 + 17) 14. (-4x2 - 9x + 2) + (-4x2 - 8x - 2) 15. (x2 + 1.3x + 2.4) + (3.6x2 - 6.1x - 3.2) 16. (- 1 − 2 x - 2 − 3) + (3 − 4 x - 1 − 6) 17. GEOMETRY A rectangle has side lengths of (3x2 + 6) inches and (2x2 - 4) inches. Write a polynomial to represent the perimeter of the rectangle. Then find the value of x if the perimeter is 94 inches. 18. CRUISE SHIPS The table shows the number of cruise ships in a harbor on various days. Day Monday Tuesday Wednesday Thursday Friday Number x - 4 x + 9 2x 3x - 7 4 a. Write a polynomial expression for the total number of cruise ships in the harbor on Monday and Tuesday. b. Write a polynomial expression for the total number of cruise ships in the harbor on all 5 days. Get Connected Get Connected For more examples, go to glencoe.com. 12-2 Homework Practice Add Polynomials 193_212_HPC3C12_892764.indd 199 93_212_HPC3C12_892764.indd 199 2/2/10 10:15:58 PM /2/10 10:15:58 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 200 Course 3 B 1. SWIMMING The table gives the number of laps Pragitha swam each week. Write a polynomial expression for the total number of laps she swam all four weeks. Week 1234 Laps x + 2 3x 2x + 14x – 6 2. GEOMETRY Write a polynomial expression for the perimeter of this pentagon. If the perimeter is 157 units, find x. (3x + 2) (3x + 2) (3x + 2) (4x - 1) (4x - 1) 3. BEDROOM Write a polynomial expression for the perimeter of the bedroom shown below. (x 2 + 4x ) (2x 2 - 3x ) 4. HOCKEY The table shows the number of goals scored during each game. Write a polynomial expression for the total number of goals scored in these 3 games. Game 123 Goals 2x x + 23x – 1 5. FLIGHT An airline charges $(22x + 20) for a ticket, $(x + 1) to check a bag, $2x for food, and $(15x - 16) to upgrade to first class. Write a polynomial expression to represent the total cost of flying first class, checking a bag, and buying food on the plane. 6. FOOD Loy paid $(4x + 7) for a beef roast and $(2x - 5) for five pounds of potatoes. Write a polynomial expression for the total amount he spent on food. 12-2 Problem-Solving Practice Add Polynomials 193_212_HPC3C12_892764.indd 200 93_212_HPC3C12_892764.indd 200 2/2/10 10:16:02 PM /2/10 10:16:02 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 201 Course 3 Subtract. Use models if needed. 1. (9x + 7) - (x + 3) 2. (3x2 - 4x) - (x2 - 5x) 3. (-3x + 15) - (-3x + 2) 4. (-2x + 10) - (-8x - 1) 5. (x2 - 2x + 4) - (x2 + x - 11) 6. (3x2 + 8x + 9) - (x2 - 6x - 1) 7. (x2 + 3) - (5x2 - 4) 8. (x2 + 2x - 4) - (3x2 - x + 9) 9. (-8x + 2) - (-5x + 7) 10. (-4x - 2) - (13x + 1) 11. (2x2 - 7x - 14) - (x - 6) 12. (12x + 3) - (-7x + 5) 13. (3x2 - 1) - (-5x2 + 17) 14. (-4x2 - 9x + 2) - (-4x2 - 8x - 2) 15. (x2 + 1.3x + 2.4) - (3.6x2 - 6.1x - 3.2) 16. (- 1 − 2 x - 2 − 3) - (- 3 − 4 x - 1 − 6) 17. FOOTBALL The Dolphins scored x2 + 2x - 7 points, while the Jaguars scored 2x2 - 5x - 3 points. How many more points did the Dolphins score than the Jaguars? 18. LUNCH The table shows the cost of a sandwich and a drink at a local cafeteria. How much more does a sandwich cost than a drink? Item Sandwich Drink Cost ($) 2x + 1.50 x + 0.49 19. COLLEGE COSTS The table shows some college costs. How much more is tuition than the cost of fees and room and board? Item Tuition Fees Room and Board Cost ($) 2x2 + 8x + 75 x + 50 x2 + 3x Get Connected Get Connected For more examples, go to glencoe.com. 12-2 C Homework Practice Subtract Polynomials 193_212_HPC3C12_892764.indd 201 93_212_HPC3C12_892764.indd 201 2/2/10 10:16:14 PM /2/10 10:16:14 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 202 Course 3 1. GASOLINE The table gives the cost of a gallon of gasoline at two stations. How much more does gasoline cost at Gas For Less than at Cut-Rate? Cut-Rate x2 – 2x + 3.5 Gas for Less 3x2 + x – 1.2 2. GEOMETRY What is the difference in the areas of the polygons shown? A = x 2 + 4x A = 2x 2 - 5x - 7 3. PLACEMATS Find the missing side of the placemat shown if the perimeter is 28x + 11 inches. (8x + 2) in. (8x + 2) in. (5x + 12) in. ? 4. SHOES Uthara has 6x – 7 pairs of shoes while China has 2x + 3 pairs of shoes. How many more pairs of shoes does Uthara have than China? 5. INSECTS A grasshopper has a length of 5x – 2 inches. A spider has a length of 2x – 1 1 − 4 inches. How much longer is the grasshopper? 6. PANTHERS Two Florida panthers were weighed. One weighs 6x + 21 pounds and the two together weigh 14x + 11 pounds. How much does the other panther weigh alone? 12-2 C Problem-Solving Practice Subtract Polynomials 193_212_HPC3C12_892764.indd 202 93_212_HPC3C12_892764.indd 202 2/2/10 10:16:19 PM /2/10 10:16:19 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 203 Course 3 Multiply. Use models if needed. 1. 2x(x - 4) 2. 3x(2x + 3) x x x -1-1-1-1 Y 2 -Y -Y -Y -Y Y 2 -Y -Y -Y -Y x x x x x 1 1 1 Y 2 Y 2 YYY Y 2 Y 2 YYY Y 2 Y 2 YYY 3. 8x(2x - 3) 4. -5x(-x + 1) 5. 2x2 (4x - 6) 6. 7(9x2 + 3) 7. x(10x2 + 2x) 8. -3x(5x + 6) 9. PING-PONG A ping-pong table has a length of (5x - 4) feet and a width of 2x feet. Write an expression for the area of the table. 10. EARRINGS Fiona wants to buy two pairs of earrings. One pair costs $15. There is a 7% sales tax. If x represents the cost of the other pair of earrings, then the expression x + 15 + 0.07(x + 15) represents the total cost. a. Simplify the expression. b. If the other pair of earrings costs $19 and Fiona has $36, does she have enough money to buy both pairs? Explain. Simplify. 11. x(x - 2) + 5x(2x + 3) 12. x2 (x + 1) - 4x(x - 2) Get Connected Get Connected For more examples, go to glencoe.com. 12-2 D Homework Practice Multiply a Binomial by a Monomial 193_212_HPC3C12_892764.indd 203 93_212_HPC3C12_892764.indd 203 2/2/10 10:16:24 PM /2/10 10:16:24 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 204 Course 3 1. GEOMETRY Find the area of the shaded region. 3x + 5 2x x + 3 x 2. GUITARS Suri wants to buy an electric guitar and a beanbag chair. The guitar costs $180. Sales tax is 5%. If x represents the cost of the chair, then the expression x + 180 + 0.05(x + 180) represents the total cost of the two items. Simplify the expression. 3. LUNCH You took a friend to a restaurant for lunch. Your lunch cost $8 and you left a 15% tip. If x represents the cost of your friend’s lunch, then the expression x + 8 + 0.15(x + 8) represents the total cost of the meal. a. Simplify the expression. b. You have $20 and your friend’s lunch cost $9. Do you have enough money to pay the bill? Explain. 4. RESORT A resort has 3x hotels. Each hotel has x + 5 rooms. Simplify an expression for the total number of rooms at the resort. 5. VIDEO GAMES Van is playing a video game. There are 2x + 3 levels in the game, and each level takes 5x minutes to complete. Write and simplify an expression for the number of minutes it will take Van to play all of the levels. 6. TISSUE BOX Write and simplify an expression for the volume of the tissue box shown. x + 4 2x x 12-2 D Problem-Solving Practice Multiply a Binomial by a Monomial 193_212_HPC3C12_892764.indd 204 93_212_HPC3C12_892764.indd 204 2/2/10 10:16:31 PM /2/10 10:16:31 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 205 Course 3 Multiply. Use models if needed. 1. (x + 6)(x + 7) 2. (x + 5)(x + 5) 3. (x + 14)(x - 2) 4. (x - 9)(x + 9) 5. (x - 13)(x + 4) 6. (x - 8)(x - 8) 7. (x - 4)(x + 5) 8. (x + 11)(x + 12) 9. (x + 1)(x - 6) 10. (x - 7)(x - 9) 11. (x + 16)(x + 3) 12. (x - 11)(x - 6) 13. (x + 20)(x + 12) 14. (x - 19)(x + 2) 15. (4x - 3)(x + 2) 16. (3x + 7)(x - 4) 17. (2x + 6)(2x + 5) 18. (5x - 1)(2x + 7) 19. SWIMMING POOL A 20-foot-by-24-foot swimming pool has a deck width of x feet all around it. Express the area of the pool and deck together as a polynomial. 20. GEOMETRY Write a polynomial for the volume of the figure. (x + 1) in. (x + 1) in. (6x) in. 21. GO-CARTS A go-cart travels at (x + 5) miles per hour for (x - 4) hours. How many miles does it travel? Get Connected Get Connected For more examples, go to glencoe.com. 12-2 E Homework Practice Multiply Polynomials 193_212_HPC3C12_892764.indd 205 93_212_HPC3C12_892764.indd 205 2/2/10 10:16:36 PM /2/10 10:16:36 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 206 Course 3 1. TENNIS BALLS Nikhil bought (x + 7) tennis balls for $(x + 2) each. Write a polynomial to represent the total cost of the tennis balls. 2. CEREAL A box of cereal has dimensions as shown. Write a polynomial to represent the volume of the box. (x + 9) in. (x - 3) in. x in. 3. PARK A rectangular park with dimensions (x + 20) meters and (x + 12) meters, has a bicycle path width of 2 meters all around it. Write a polynomial to represent the area of the park and path. 4. LIVING ROOM Aimee has an L-shaped living room as shown. Write a polynomial to represent the total area of the living room. (x - 4) ft (x - 1) ft (x + 6) ft x ft 5. FIND THE ERROR Renaldo multiplied 2x + 3 and 5x + 2 using the FOIL method. His answer was 10x + 4x + 15x + 6, which he simplified to 29x + 6. What was his mistake? 6. PICTURE A 20-inch-by-16-inch photograph is going to be enclosed in a frame x-inches wide. Express the area of the photo and frame as a polynomial. 12-2 E Problem-Solving Practice Multiply Polynomials 193_212_HPC3C12_892764.indd 206 93_212_HPC3C12_892764.indd 206 2/2/10 10:16:42 PM /2/10 10:16:42 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 207 Course 3 B Factor each polynomial using the GCF. If the polynomial cannot be factored, write cannot be factored. 1. 4x + 12 2. x2 + 9x 3. 3x2 + 15x 4. 15x + 4 5. 18x2 + 90 6. 7x2 + 2 7. 36x3 – 24x2 8. 54x4 + 9x2 9. 28x – 35 10. 45x2 + 48x 11. GEOMETRY Write a polynomial in factored form to represent the total area of the rectangle. 12Y 2 8Y 12. PHYSICS Theodosia dropped a shell from the top floor of a condominium building on Sanibel Island. The height h, in feet, of the shell above the ground after t seconds is given by h = 96 – 16t2 . Factor 96 – 16t2 . Get Connected Get Connected For more examples, go to glencoe.com. 12-3 Homework Practice Use the GCF to Factor Polynomials 193_212_HPC3C12_892764.indd 207 93_212_HPC3C12_892764.indd 207 2/2/10 10:16:48 PM /2/10 10:16:48 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 208 Course 3 B 1. POOLS The figure shows a swimming pool and a diving well with their areas labeled. Write an expression in factored form that represents the dimensions of the pool and diving well. 8Y 2 6Y 2. RUGS The figure shows an area rug on a hardwood floor. There is 2 feet of floor on all edges of the rug. Write an expression in factored form for the area of the rug. x ft 3x ft 2 2 3. PHYSICS A ball is thrown into the air at 10 feet per second. Its height h, in feet, above the ground after t seconds is given by the formula h = 10t – 16t2 . Factor the expression 10t – 16t2 . 4. BOATS The Srinivasans have saved $600 as a down payment on a motor boat. The expression 60x + 600 represents the total cost of the boat if x is the monthly payment for 5 years. Factor 60x + 600. 5. TRIANGLE The area of a triangle is given by the expression 6x2 + 10x. Factor 6x2 + 10x. 6. BOX The volume of a box with a height of 3 inches is 24x2 + 12x cubic inches. Factor this expression to find the length and width of the box. 12-3 Problem-Solving Practice Use the GCF to Factor Polynomials 193_212_HPC3C12_892764.indd 208 93_212_HPC3C12_892764.indd 208 2/2/10 10:16:53 PM /2/10 10:16:53 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 209 Course 3 Factor each trinomial. 1. x2 + 15x + 50 2. x2 + 2x + 1 3. x2 + 7x + 10 4. x2 + 11x + 24 5. x2 – 10x + 24 6. x2 – 12x + 27 7. x2 – 16x + 60 8. x2 + 10x + 16 9. x2 + 9x – 22 10. x2 – 6x – 16 11. GEOMETRY A square has an area of x2 + 10x + 25 square centimeters. Find the perimeter of the square. 12. GENETICS Brown eyes are dominant and blue eyes are recessive. B represents brown eyes and b represents blue eyes. Find the missing genes or gene pairs in this Punnett square. B B Bb b Bb Get Connected Get Connected For more examples, go to glencoe.com. 12-3 D Homework Practice Factor Trinomials 193_212_HPC3C12_892764.indd 209 93_212_HPC3C12_892764.indd 209 2/2/10 10:16:58 PM /2/10 10:16:58 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 210 Course 3 1. TABLE A table has an area of x2 – 8x + 7 square feet. Factor this trinomial to find the dimensions of the table. 2. GEOMETRY The area of a rectangle is x2 + 18x + 45 square centimeters. Factor the trinomial to find the length and width. 3. GENETICS Tall pea plants are dominant and short pea plants are recessive. T represents tall pea plants and t represents short pea plants. Complete this Punnett square. T T T t 4. JEWELRY BOX Tetra has a jewelry box with a volume of x3 + 13x2 + 36x as shown. Find the length and height of the box. x 5. PATIO The figure shows a square patio with a rock border around it. The total area in square feet of the patio and border is x2 + 6x + 9. Write this area in factored form. x x ? 6. ROCK BORDER Find the width of the rock border in Exercise 5. 12-3 D Problem-Solving Practice Factor Trinomials 193_212_HPC3C12_892764.indd 210 93_212_HPC3C12_892764.indd 210 2/2/10 10:17:02 PM /2/10 10:17:02 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 211 Course 3 Use a graph to solve Exercises 1 and 2. 1. PLAYGROUND The area of a rectangular playground is 192 square yards. The length is 4 yards more than the width. Find the width. y 0 x 600 800 -200 400 200 -40 -20 20 40 2. PHYSICS A ball is thrown up in the air at a velocity of 64 feet per second from a height of 3 feet. The height h of the ball after t seconds is given by the formula h = 3 + 64t - 16t2 . The graph is shown. y 0 x 10 20 30 40 50 60 70 -4-3-2-1 1234 a. How high is the ball after 1 second? b. After how many seconds will the ball reach its maximum height? c. What is the maximum height? Use any strategy to solve Exercises 3–5. 3. ALGEBRA What are the next three numbers in the pattern? 226, 268, 310, 352, , , 4. TICKETS Stuart sold 15 tickets to the orchestra concert. The value of these tickets was $100. Adult tickets cost $8 and student tickets cost $3. How many of each type of ticket did Mack sell? 5. JOBS Ang is considering three different part-time jobs. She can work for 10 hours per week at a soda fountain and earn $7 per hour. Or she can work for 4 days per week at a dry cleaner and earn $15 per day for each 2 hours of work. Or she can work in a clarinet shop for 12 hours per week and earn $81 per week. a. At which job will she earn the best hourly rate? b. At which job will she earn the most each week? Get Connected Get Connected For more examples, go to glencoe.com. PROBLEM-SOLVING STRATEGIES • Use a graph. • Look for a pattern. • Guess, check, and revise. • Choose an operation. 12-3 E Homework Practice Problem-Solving Investigation: Use a Graph 193_212_HPC3C12_892764.indd 211 93_212_HPC3C12_892764.indd 211 2/2/10 10:17:07 PM /2/10 10:17:07 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 212 Course 3 1. COURTYARD The area of a courtyard is 285 square feet. The width is 4 feet less than the length. Find the length. y 0 x 600 800 -200 400 200 -40 -20 20 40 2. GEOMETRY The base of a triangle is 10 centimeters longer than the height of the triangle. If the area of the triangle is 72 square centimeters, what are the measures of the base and height? y 0 x -100 -200 -20 -10 10 20 3. STONES The quadratic equation h = 64 - 16t2 models the height above the water of a stone t seconds after it is dropped from a bridge. The graph is shown below. How high is the stone after 1 second? h 0 t 10 20 30 40 50 60 70 -2 -1 1 2 4. TIME How long does it take for the stone in Exercise 3 to hit the water? 5. NEWSPAPERS Miko surveyed the 30 students in his math class. He found that 22 read the comics in the newspaper, 14 read the sports, and 8 of these read both the comics and the sports. a. How many read the comics but not the sports? b. How many read neither? 6. PATTERN Find the next number in the pattern: 7, 9, 12, 16, _____ . Solve each problem using any strategy you have learned. 12-3 E Problem-Solving Practice Problem-Solving Investigation: Use a Graph 193_212_HPC3C12_892764.indd 212 93_212_HPC3C12_892764.indd 212 2/2/10 10:17:13 PM /2/10 10:17:13 PM