Algebra - Blank Tests Volume 1

Review Chapters 1-7 (cont.) Name ______________________________

Find the equations for the lines described in the forms requested:
A line goes through point (−8,5) and has a slope of 12.

172) point-slope form: _______________________________________________

173) slope-intercept form: _______________________________________________

174) standard form: _______________________________________________

A line goes through point (4, −2) and has a slope of−3.
175) point-slope form: _______________________________________________

176) slope-intercept form: _______________________________________________

177) standard form: _______________________________________________

178) What is the slope of the line parallel to the line with equation = −3 + 5?
m = ____________

179) What is the slope of the line perpendicular to the line with equation

= −3 + 5? m = ____________

200 | P a g e

Review Chapters 1-7 (cont.) Name ______________________________

180) What is the slope of the line parallel to the line with equation = 1 − 7?
4

m = ____________

181) What is the slope of the line perpendicular to the line with equation

= 1 − 7?
4

m = ____________

182) What is the slope of the line perpendicular to the line with equation = 5?
m = ____________

Do the following sets of ordered pairs form functions?

183) Yes No 184) Yes No

xy xy

3 30 45
6 22 8 10
9 14 12 16
12 6 16 23

The value of y varies directly with x in the examples below:
186) If = 54, ℎ = 6, ℎ = 4. y = ______________________

187) If = 48, ℎ = 4, ℎ = 5. y = ______________________

201 | P a g e

Review Chapters 1-7 (cont.) Name ______________________________

Chapter 7

Solve the systems of equations below by graphing the lines whose equations are

given: y

187) = − 2 + 2
3

= − 1 + 1
2

x

188) = 3 + 3 y
4 x

= − 1 + 7
4

202 | P a g e

Review Chapters 1-7 (cont.) Name ______________________________

Solve the following systems of equations using substitution:

189) = 2 − 14 190) = 2 − 13

+ 2 = 2 2 + 5 = 10

Solve the following systems of equations using elimination:

191) 5 + 3 = 14 192) 2 + 3 = −9

2 − 3 = 14 2 + 6 = −24

(193)

Graph the following inequalities:

193) ≤ − 1 + 3
2

(194)

194) > 3 − 4

203 | P a g e

Review Chapters 1-7 (cont.) Name ______________________________

Graph the solutions to the following systems of inequalities:
195) > − + 1

< 2 − 2

196) ≥ 2 + 1
3

≥ − 1 − 2
3

204 | P a g e

FINAL EXAM
205 | P a g e

Final Exam Chapters 1-7
Name ______________________________

Chapter 1
Cancelling
1)

45 35 16 48 27 72
63 36 18 15 40 32

Evaluate 3) −6 − 9 =
2) 7 − 15 =
5) −54 =
4) − 8(7) = −6

Graphing Vocabulary
33)_____________________________
34)_____________________________

206 | P a g e

Final Exam Chapters 1-7 (cont.) Name ______________________________

Exponents

35) Y4  y  y8 = _____________

36) 130= _____________
37) x3  y  x6  y7 = _____________

38) 42 − 9 + 3 − 7 + 9 − 112 = _______________

39) 74 − 64 = _______________

40) 74(64) = _______________

41) 326 = _______________
83

42) (7 + 410 ÷ 23 − 6)2 + 4 − 8 ÷ 232 ÷ 12 = _______________

Chapter 2 = _______________
Solve for x
16) + 12 = 8

17) = −7 = _______________
8

18) 4 − 7 = 25 = _______________

19) 11 − 12 = 9 − 30 = _______________

207 | P a g e

Final Exam Chapters 1-7 (cont.) Name ______________________________

20) 5(2 + 6) = 3( − 11) = _______________

21) | − 7| = 4 = _______________

Fill in the blanks:
22) 67.5cm = _________________m

23) 4yd = _________________in
Set up:

24) 600 = ________
1 ℎ 1

Set up:

Solve for x

25) 7 = 42 = _______________
54

∆~∆

26) < = ________________

27) DE = ________________

208 | P a g e

Final Exam Chapters 1-7 (cont.) Name ______________________________

28) The refreshment booth at the fair makes $12 in 4 minutes. How much can it

expect to make in 10 minutes? ____________

29) What is the greatest common factor (GCF) of 30 and 36? ______________________

30) Round 6.4759 to the nearest hundredth. ___________________

31) What is 60% of 80? ___________________

32) 12 is what percent of 15? ___________________

33) 30 is 50% of what number? ___________________

34) Write .00042 in scientific notation. ______________________________________

Evaluate
35) . 2 + .004 + 1.03 = ___________________

36) . 07 × .009 = ___________________

37) . 48 ÷ .006 = ___________________

209 | P a g e

Final Exam Chapters 1-7 (cont.) Name ______________________________

Chapter 3

Evaluate

38) 2 + 1 =_____________________ 39) 8 − 2 4 =_____________________
3 4 5

40) 4  3 =_____________________ 41) 4 ÷ 2 =_____________________
9 8 9 3

World Problems

42) The length of a rectangle is nine more than three times the width. The
perimeter of the rectangle is 74 inches. Find the length and the width of the
rectangle.

x =___________________________ equation: ______________________________

l =___________________________ w = ______________________________

43) One supplementary angle is eight times another. Find the measures of the two
angles.

x =___________________________ equation: ______________________________

angles =___________________________

44) Thirteen less than seven times a number is fourteen more than four times the
number. Find the number.
x =___________________________ equation: ______________________________
number =___________________________

210 | P a g e

Final Exam Chapters 1-7 (cont.) Name ______________________________

45) The sum of three consecutive numbers is 117. Find the numbers.

x =___________________________ equation: ______________________________

numbers =___________________________

46) One number is six less than three times another. Their sum is 38. Find the two
numbers.

x =___________________________ equation: ______________________________

numbers =___________________________

Chapter 4

Complete the following table:

Words Inequality Graph
numbers between 7 and 48)
15 47)
50)
49)
> −5

51) 52)

0 3
54)
53)
0 ≤ ≤ 4

55) 56)

-4 -2 0

211 | P a g e

Final Exam Chapters 1-7 (cont.) Name ______________________________
Solve each inequality and graph the solution:
57) −7 + > −12

58) −4 < 24

59) 1 > −1
4

60) 3(3 + 10) > 3( − 8)

61) −21 < 4 − 9 < 7

62) 3 + 10 < −2 5 − 18 > −3

Chapter 5

Consider the sequence: 4, 8, 12, 16, …

63) d = ____________ 64) a3 = ____________ 65) a10 = ____________
212 | P a g e

Final Exam Chapters 1-7 (cont.) Name ______________________________

Fill in the table, mapping diagram, and graph below for the ordered pairs of this
relation:

(2,5), (3,7), (4,9), (5,11)

66) 67)

68)
69) Is this relation a function: Yes No
70) Does the following graph represent a function? :

Yes No

213 | P a g e

Final Exam Chapters 1-7 (cont.) Name ______________________________

Find the equation representing the relationship for the set of ordered pairs:

71) (5, 15), (6, 18), (7, 21), (8, 24) _________________________

Consider the set of the following ordered pairs: (3, −10), (4, −9), (5, −8), (6, −7)

72) What is the domain of the above set of ordered pairs?
_________________________

73) What is the range of the above set of ordered pairs?
_________________________

Identify the independent and dependent variables in the following scenario:
74) The more money you spend, the less you will have in your pocket.

Independent variable: __________________________________________________
Dependent variable: __________________________________________________

75) f(x) = 6 − 9. Find f(−2) = ___________________

76) Which scatter plot represents a negative
correlation? _________

214 | P a g e

Final Exam Chapters 1-7 (cont.) Name ______________________________
77) m = __________________
Chapter 6

Find the slope of each line
y

x

Find the slope of the line through each set of points:

78) (8, 3) (2, 6) | m = _________ 79) (6, −7) (6, 3) | m = _________

Determine the intercepts of the line with the following equation:
80) 7 + 5 = −35 x-intercept _______________ y-intercept _______________

81) What is the slope of a horizontal line? m = ______________________

215 | P a g e

Final Exam Chapters 1-7 (cont.) Name ______________________________

Determine the equation in slope-intercept form for this line:

82) ___________________

83) A line goes through point (−5,4) and has a slope of−2. Write the equation for
this line in point-slope form.

A line has slope −3 and goes through the point (−5,6). Find the equation of this line
in

84) slope-intercept form: _______________________________________________

85) standard form: _______________________________________________

86) What is the slope of the line parallel to the line with equation = − 1 + 12?
2

m = ____________

87) What is the slope of the line perpendicular to the line with equation = 3 + 5?
m = ____________

216 | P a g e

Final Exam Chapters 1-7 (cont.) Name ______________________________

88) Does the following set of ordered pairs form a function?

Yes No

xy

3 20
6 15
9 10
12 5

89) The value of y varies directly with x. If = 63, ℎ = 9, ℎ = 6.
y = ______________________

Chapter 7

Solve the system of equations below by graphing the lines whose equations are

given: y

90) = 2 − 3

= − 2 + 5
3

x

217 | P a g e

Final Exam Chapters 1-7 (cont.) Name ______________________________

Solve the following system of equations using substitution:
91) = 2 − 13

5 + 2 = 1

Solve the following system of equations using elimination:
92) 2 + 5 = −2

3 − 5 = −28

Graph the following inequality:

93) > 1 − 2
3

218 | P a g e

Final Exam Chapters 1-7 (cont.) Name ______________________________

94) Graph the solution to the following system of inequalities:

195) ≥ 3 − 4

≤ − 1 + 3
2

219 | P a g e