Algebra - Blank Tests Volume 1

Chapter 6 Test

Find the slope of each line: 1 2

1) _______________ 3

2) _______________
3) _______________
4) _______________

4
Given two points on the line, find the slope of the line:
_______________ 5) (2, −10) (6, −7)

_______________ 6) (6, 5) (9, 5)

_______________ 7) (−1, 6) (5, 3)

_______________ 8) (−2, 8) (−2, 12)

Determine the intercepts of the line with equation 5 − 3 = −15. Then graph the

line using the intercepts. y

9) x-intercept: ____________
10) y-intercept: ____________
11) Graph:

x

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C6 Test (cont’d) Name ________________________
y
Graph and label each line below on the same axis.
12) = −2 + 5 x

13) = −3

14) = 2 − 4
3

15) = 5

Determine the equation in slope-intercept form for each line graphed. 16
y

16) ___________________

x

17) ___________________

17

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C6 Test (cont’d) Name ________________________

18) Greg plans on carving wooden toy planes that take 3 hours each and trucks that
take 4 hours each. Greg has 36 hours to spend carving these toys. Graph the line
representing the numbers of planes and trucks Greg could make.

A. Let x = _______________________________________________________________

Let y = _______________________________________________________________

B. Equation: ________________________________

C. Intercepts: x-intercept: (______, ______) _______________

y-intercept: (______, ______)

D. Graph the equation:

5) Using the graph, predict the number of trucks Greg _____________________
can make along with 8 planes.

20) Write 3 − 5 = 30 in slope-intercept form:
___________________________________

21) Write = 1 − 7 in standard form: ___________________________________
2

22) A line has slope −3 and goes through the point (4, −1). Write the equation of
the line in point-slope form. ___________________________________

23) The point-slope form for the equation of a line is + 2 = − 1 ( − 9)
3

The slope of this line is ____________________________________

One point on the line is _________________

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C6 Test (cont’d) Name ________________________

Find the equation of each line described below in slope-intercept form and standard
form:
24) m = −2 and line goes through (4, −5)

Slope-intercept form: _________________________________

Standard form: ________________________________

25) m = 0 and line goes through (−6, 4)
Equation: _________________________________

26) m= 1 and line goes through (−12, 2)
3

Slope-intercept form: _________________________________

Standard form: ________________________________

27) m = and line goes through (−7, −3)
Equation: _________________________________

28) line goes through (4, 9) and (8, 10)
Slope-intercept form: _________________________________
Standard form: ________________________________

29) line goes through (−6, 7) and is parallel to the line with equation = 1 + 9
3

Slope-intercept form: _________________________________

Standard form: ________________________________

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C6 Test (cont’d) Name ________________________

30) line goes through (4, −11) and is perpendicular to the line with equation
1
= − 2 − 3

Slope-intercept form: _________________________________

Standard form: ________________________________

31) What is the slope of the line parallel to the line with equation = 4 − 1 ?
Slope (m): _________________________________

32) What is the slope of the line perpendicular to the line with equation
= 3 − 5?

Slope (m): _________________________________

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

xy Function? yes no
20
7 20
12 30
17 40

34) The value of y varies directly with x.
If = 24 when = 6, find y when = 8: = _________________

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CHAPTER SEVEN
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Quiz 7.1D Name_______________________________

I. Determine whether the given point is on both lines whose equations are given.

1) (4, −5) 2x+y = 3
4x+3y = 1
________________

2) (7, 2) x −4y = 1
2x+3y = 20
________________

3) (−6, 3) 2x+4y = 0
x −y = 3
________________

II. Find the solution for each system of equations.

4) x −3y = −9 5) 3x+y = −2
2x+3y = −9 3x+y = 2 y
y

xx

6) 3x −4y = 0 7) y = −1
2x −y = 5 3x+2y = −14
y y

x x

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Quiz 7.2D Name_______________________________

Substitution: Find the solution for each system of equations.
1) = 4 − 24

= −3 + 11

2) 3 + = 20
2 + 5 = −4

3) 12 − 5 = 40
= 2 − 6

4) = 4 + 3
= − 3

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Quiz 7.2D (cont.) Name_______________________________

Substitution: Find the solution for each system of equations.
5) 3 − = 2

= 5 + 2

6) + 2 = 18
10 + = −10

7) = −3 + 2
4 + = 4

8) − 2 = 3
2 − 3 = 4

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Quiz 7.3 E Name_______________________________

Solve each system of equations using elimination:
1) 5 + = 13

4 + 3 = −5

2) 5 + 6 = 7
5 + 8 = 1

3) 7 + 4 = 18
+ 2 = −6

4) 3 + 2 = 22
4 − = 0

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Quiz 7.3 (cont.) Name_______________________________

Solve each system of equations using elimination:

5) + 5 = −21
6 − 5 = 14

6) 5 + 6 = 8
7 + 6 = 4

7) + 4 = 20
2 + 5 = 19

8) 2 + 4 = −14
3 + = 4

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Quiz 7.4E Name _____________________________
Cramer’s Rule Answer: (_____, ______)
(1) 3 + 2 = −1
Answer: (_____, ______)
2 + = −2 Answer: (_____, ______)
Answer: (_____, ______)
(2) 2 + 3 = 5 Answer: (_____, ______)
− 3 = 1
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(3) 2 + = 1
16 + 12 = 5

(4) 2 + 4 = 2
4 + 4 = 1

(5) 3 − 6 = 1
+ 3 = −3

Quiz 7.5E Name_______________________________
1) 3x+4y ≤ 16 y

x

2) x−3y > 12 y
x

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Quiz 7.5E (cont.) Name_______________________________
3) x > −5 y

x

4) 2x+y ≥ 5 y
x

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Quiz 7.5E (cont.) Name_______________________________
5) y ≤ 4 y

x

6) 3x−2y ≤ 14 y
x

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Quiz 7.5E (cont.) Name_______________________________
7) x−5y < 20 y

x

8) 5x+3y < 18 y
x

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Quiz 7.6 D Name_______________________________

Solve the following systems of linear inequalities: y

1) 4 + < 7
2 − > −1

x

2) ≥ −6 y
2 + 5 ≤ −15 x

3) 2 + 3 < −3 y
− 3 < −6 x

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Quiz 7.6 D (cont.) Name_______________________________

Solve the following systems of linear inequalities: y
4) 3 + 2 ≥ 6

− 4 ≤ 16

x

5) < 2 y
3 − 4 > −20 x

6) 2 + ≥ 8 y
3 − ≤ 7 x

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Chapter 7 Review A

C7 Review A Name ____________________________

I. Solving two equations with two unknowns

Solve each of the following systems of two equations with two unknowns using
one of the methods explained in this chapter. The graph is there if needed.

1) 3 + 2 = −9 y
− 2 = −11

x

2) = 1 + 3 Method used: __________________ Solution: ________________
2 y
= 3 − 2
x

Method used: __________________ Solution: ________________
y

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C7 Review A (cont.) Name ____________________________
3) 2 + 4 = −1 y
3 + 2 = 1
x

4) = 2 − 12 Method used: __________________ Solution: ________________
4 + 3 = 7 y

x

5) 5 + 3 = 3 Method used: __________________ Solution: ________________
5 + 2 = 7 y

x

Method used: __________________ Solution: ________________
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C7 Review AI (cont.) Name ____________________________
6) 3 − 4 = −3 y
+ 4 = 1
x

7) = 1−3 32 + − 1 Method used: __________________ Solution: ________________
= 2 y

x

8) = 2 + 18 Method used: __________________ Solution: ________________
3 + 2 = −13 y

x

Method used: __________________ Solution: ________________
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C7 Review A (cont.) Name ____________________________

II. Solving Linear Inequalities

Graph the solutions to the following problems: y
9) 3 + 4 ≤ 12

x

y

10)2 + > −1
3 − > −4
x

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C7 Review AI (cont.) Name ____________________________
11) ≥ −2 y
3 − 2 ≤ −2

x

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Chapter 7 Review B

C7 Review B Name ____________________________

I. Solving two equations with two unknowns

Solve each of the following systems of two equations with two unknowns using

one of the methods explained in this chapter. The graph is there if needed.

1) = 2 − 9 y
2 + 3 = 5

x

2) 6 + 4 = 3 Method used: __________________ Solution: ________________
3 − 3 = 4 y

x

Method used: __________________ Solution: ________________

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C7 Review B(cont.) Name ____________________________
3) 4 + 3 = −6 y
4 + 5 = −2
x

4) = −14 43 − + 1 Method used: __________________ Solution: ________________
= 3 y

x

5) = 2 − 13 Method used: __________________ Solution: ________________
3 + 4 = 1 y

x

Method used: __________________ Solution: ________________
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C7 Review B (cont.) Name ____________________________
6) 5 − 3 = −13 y
7 + 3 = −11
x

7) = − 1 Method used: __________________ Solution: ________________
1 y
= 3 − 3
x

8) 9 + 6 = −1 Method used: __________________ Solution: ________________
2 + = 0 y

x

Method used: __________________ Solution: ________________
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C7 Review B (cont.) Name ____________________________

II. Solving Linear Inequalities

Graph the solutions to the following problems: y
9) 3 − 2 > −4

x

y

10) + ≥ 3
2 − ≤ 3

x

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C7 Review B (cont.) Name ____________________________
11) < 1 y
4 − < 3

x

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C7 Test Chapter 7 Test
Name ____________________________

I. Solving two equations with two unknowns

Solve each of the following systems of two equations with two unknowns using
one of the methods explained in this chapter. The graph is there if needed.

y
1) = 2 + 7

3 + 8 = −1

x

2) = 1 +3 Method used: __________________ Solution: ________________
= 4 − y
1 2
1 x
2

Method used: __________________ Solution: ________________
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C7 Test (cont.) Name ____________________________
3) 2 + 3 = −1 y
4 − 3 = 43
x

4) 5 + 10 = 2 Method used: __________________ Solution: ________________
10 + 15 = 1 y

x

5) = 3y + 17 Method used: __________________ Solution: ________________
2 + 3 = −2 y

x

Method used: __________________ Solution: ________________
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C7 Test (cont.) Name ____________________________
y
6) = − 1 − 4
= 2 +1 x
3

4

7) 12 + 8 = −5 Method used: __________________ Solution: ________________
+ = −1 y

x

8) 2 + 5 = −1 Method used: __________________ Solution: ________________
2 + 3 = −7 y

x

Method used: __________________ Solution: ________________
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C7 Test (cont.) Name ____________________________

II. Solving Linear Inequalities

Graph the solutions to the following problems: y
9) + 3 ≤ −3

x

10) + ≥ 2 y
3 − 4 ≤ 20 x

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C7 Test (cont.) Name ____________________________
11) < −2 y
3 + > 2
x

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CHAPTER REVIEW 1-7
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Chapter 1 Review Chapters 1-7
Cancelling Name ______________________________
1)
2)

64 36 35 24 45 42 32 100 16 56 54 18
20 21 40 9 48 56 48 24 35 36 48 40

Evaluate 4) −14 + 9 = 5) 7 − 16 =
3) −5 − 8 = 5) −7(−9) =

8) − 8 − 7 = 4) −6(8) = 184 | P a g e

9) ) −72 = 10) −42 =
8 −7

Review Chapters 1-7 (cont.) Name ______________________________

Graphing Vocabulary

11)_____________________________
12)_____________________________
13)_____________________________
14)_____________________________
15)_____________________________
16)_____________________________

Exponents

17) w  w3  w5 = _____________

18) A7  A5 = _____________

19) 162= _____________
20) 195= _____________
21)x4  y3  x7  y9 = _____________

22)A  B8  A5  B6 = _____________

23)7 − 8 + 9 − 10 − 11 + 6 = _______________

24)142 − 11 + 8 − 192 + 9 − 3 = _______________

25)86 + 76 = _______________

26)125 − 95 = _______________

27)63 73 = _______________

28)97 411 = _______________

29) 277 = _______________
92

30)56459 = _______________

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Review Chapters 1-7 (cont.) Name ______________________________

Order of Operations
31)12 + 24 ÷ 46 ÷ 12 − (32 + 215 ÷ 6 − 4) = _______________

32)(52 − 21 ÷ 32 + 4) ÷ 3 − 2 + 36 ÷ 9 + 42 = _______________

Chapter 2
Solve for x

= _______________ 33) + 12 = 8

= _______________ 34) −5 + = 9

= _______________ 35) 8 = −72

= _______________ 36) −6 = −24

= _______________ 37) = −9
6

= _______________ 38) − = −4
7

= _______________ 39) 5 + 12 = −28

= _______________ 40) −9 − 36 = 27

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Review Chapters 1-7 (cont.) Name ______________________________
= _______________ 41) 13 + 18 = 8 − 17

= _______________ 42) 16 − 3 = 7 − 30

= _______________ 43) 2(2 − 5) = 3( + 6)

= _______________ 44) 7( + 2) = 10( + 5)

Evaluate 46) |24| = _______________
45) | − 7| = _______________

Solve for x = _______________ 48) | − 5| = 9
= _______________ 47) | + 6| = 8

Conversions 50) 752mm = _______________m
49) 45m = _________________dm

51) 10ft = _________________in 52) 21 ft = _________________yd
Set up: Set up:

53) 2 = ________ 54) 120 = ________
1 1 ℎ 1 1

Set up: Set up:

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Review Chapters 1-7 (cont.) Name ______________________________

Solve for x

= _______________ 55) = 30 = _______________56) 4 = 32
8 48 72

57) It takes Mary 45 minutes to bake 48 cookies. How many cookies can she bake in
60 minutes?

____________

58) Ned can deliver mail to 24 houses in two hours. How long should it take him to
deliver mail to 36 houses? ______________

Similar Figures

trap ABCD ~ trap EFGH

59) < = ________________
60) EH = ________________

∆~∆

61) < = ________________
62) MN = ________________

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Review Chapters 1-7 (cont.) Name ______________________________

Greatest Common Factor
63) What is the greatest common factor (GCF) of 40 and 24? ______________________

64) What is the greatest common factor (GCF) of 27 and 36? ______________________

Rounding
65) Round 758 to the nearest ten. ___________________

66) Round 9.135 to the nearest tenth. ___________________

Percent
67) What is 40% of 20? ___________________
68) 24 is what percent of 40? ___________________
69) 7 is 25% of what number? ___________________
70) What is 90% of 30? ___________________
71) 32 is what percent of 40? ___________________
72) 15 is 75% of what number? ___________________

Scientific Notation
73) Write 38,000,000 in scientific notation. ______________________________________
74) Write .0625 in scientific notation. ______________________________________

Decimals
75) 2.5 + .03 + .358 = ___________________ 76) 7 − .13 = ___________________

77) . 07 × .3 = ___________________ 78) . 5 × .009 = ___________________

79) . 032 × .4 = ___________________ 80) . 72 ÷ .008 = ___________________

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Review Chapters 1-7 (cont.) Name ______________________________

Chapter 3

Word Problems

81) The length of a rectangle is two more than six times the width. The perimeter is
60 inches. Find the length and the width.

x =___________________________ equation: ______________________________

l =___________________________ w = ______________________________

82) The length of a rectangle is 4 more than three times the width. The perimeter is
104 cm. Find the length and the width of the rectangle.

x =___________________________ equation: ______________________________

l =___________________________ w = ______________________________

83) One supplementary angle is 52 more than three times the other. Find the
measures of the two angles.

x =___________________________ equation: ______________________________

angles =___________________________

84) One complementary angle is five times the other. Find the measures of the two
angles.
x =___________________________ equation: ______________________________
angles =___________________________

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Review Chapters 1-7 (cont.) Name ______________________________

85) Eighteen less than eleven times a number is seventeen more than six times the
number. Find the number.

x =___________________________ equation: ______________________________

number =___________________________

86) Twelve less than nine times a number is twelve more than six times the
number. Find the number.

x =___________________________ equation: ______________________________

number =___________________________

87) The sum of three consecutive numbers is 132. Find the numbers.
x =___________________________ equation: ______________________________
numbers =___________________________

88) The sum of three consecutive odd numbers is 177. Find the numbers.
x =___________________________ equation: ______________________________
numbers =___________________________

89) One number is two less than seven times another number. Their sum is 54. Find
the numbers.
x =___________________________ equation: ______________________________
numbers =___________________________

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Review Chapters 1-7 (cont.) Name ______________________________

90) One number is five less than four times another number. Their sum is 55. Find
the numbers.

x =___________________________ equation: ______________________________

numbers =___________________________

Evaluate

91) 1 + 3 =_____________________ 92) 4 + 1 =_____________________
3 5 9 6

93) 7 1 + 5 3 =_____________________ 94) 9 − 3 58=_____________________
2 4

95) 5  130=_____________________ 96) 2  7 =_____________________
12 7 8

97) 7 ÷ 7 =_______________________ 98) 5 ÷ 15 =_____________________
12 8 12 16

Chapter 4

Complete the following table:

Words Inequality Graph
numbers less than 8
99) 100)

101) 102)

−2 0
104)
103) −2 < < 3
105) 106)
numbers greater than or
equal to 5

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Review Chapters 1-7 (cont.) Name ______________________________

Words Inequality Graph
> −1
107) 108)

109) 110)

−4 0
112)
111) ≤ 3

Numbers between 113) 114)
−6 − 2,

Solve each inequality, and graph the solution:
115) + 6 ≤ 3

116) 8 + > −2

117) 8 ≥ −48

118) −3 < 12

119) − 1 ≤ −7
3

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Review Chapters 1-7 (cont.) Name ______________________________

120) 1 > −9
2

121) 5( − 3) + 3 ≤ 6(2 + 5)

122) 3(5 − 1) > 6( + 7)

123) 2( − 2) ≥ 10( − 6)

124) 3 ≤ 1 +5 ≤ 9
3

125) 10 < 7 − 11 < 38

126) 3 − 5 ≤ 1 7 + 8 ≥ 50

127) 4 + 5 < −7 6 − 8 > −2

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Review Chapters 1-7 (cont.) Name ______________________________

Chapter 5

Consider the sequence: 4, 12, 20, 28, …

128) d = ____________ 129) a2 = ____________ 130) a7 = ____________

Consider the sequence: 2, 5, 8, 11, …

128) d = ____________ 129) a3 = ____________ 130) a10 =
____________

Fill in the tables, mapping diagrams, and graphs below for the ordered pairs of the
relations:

(3,6), (5,7), (7,7), (9,9)

134) 135)

136)

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137) Is this relation a function: Yes No Name ______________________________
Review Chapters 1-7 (cont.)

(6,12), (7,8), (8,4), (9,0)

138) 139)

140)
141) Is this relation a function: Yes No
142) Do the following represent functions? Answer yes or no.

Yes No Yes No Yes No Yes No
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Review Chapters 1-7 (cont.) Name ______________________________

Find the equations representing the relationships in the following sets of ordered
pairs:

143) (20, 16), (15, 11), (11, 7), (6, 2) _________________________

144) (10, 5), (8, 4), (6, 3), (4, 2) _________________________

145) (4, 20), (5, 25), (6, 30), (7, 35) _________________________

Consider the set of the following ordered pairs: (2, 7), (3, 9), (4, 11), (5 13)
146) What is the domain of the above set of ordered pairs? _________________________
147) What is the range of the above set of ordered pairs? _________________________

Determine the independent and dependent variables in each of the following
scenarios:

148) The higher the mountain, the more energy it will take to climb.

Independent variable: __________________________________________________

Dependent variable: __________________________________________________

149) Temperature decreases as winter approaches.

Independent variable: __________________________________________________

Dependent variable: __________________________________________________

Function Notation 151) f(−2) = ___________________
f(x) = 7 + 4. Find.

150) f(3) = ___________________

f(x) = 4 − 12. Find. 151) f(5) = ___________________
152) f(−3) = ___________________

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Review Chapters 1-7 (cont.) Name ______________________________
Which graph represents:
154) a positive correlation _________
155) a negative correlation _________
156) no correlation _________

Chapter 6

y
Find the slope of each line

157) A ____________

158) B ____________

x
159) C ____________

160) D ____________

161) E ____________

Find the slope of the line through each set of points:
162) (5, −12) (7, −4) | m = ________ 163) (6, −2) (8, −2) | m = ________

164) (−8, 1) (10, −5) | m = _________ 165) (3, 1) (3, 5) | m = _________
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Review Chapters 1-7 (cont.) Name ______________________________

Determine the intercepts of the lines with the following equations:
166) 6 − 3 = 36 x-intercept _______________ y-intercept _______________

167) 4 + 7 = −28 x-intercept _______________ y-intercept _______________

168) What is the slope of a vertical line? m = ______________________
169) What is the slope of a horizontal line? m = ______________________
Determine the equation in slope-intercept form of each line graphed:
170) ___________________

171)___________________

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