Free Printable 8th Grade Cumulative Review

1.

Simplify the expression using exponents.

a)

81⁸

b)

9¹⁵

c)

9⁸

d)

81¹⁵

2.

Using exponents, what is the simplified form of this expression?

a)

5⁹

b)

1⁵

c)

5¹⁴

d)

5⁵

3.

What is the value of 18⁰?

a)

18

b)

0

c)

1

d)

-18

4.

How do you write the standard number 0.00095 in scientific notation?

a)

9.5 x 10^-3

b)

9.5 x 10^-5

c)

9.5 x 10^-4

d)

9.5 x 10^-6

5.

Write the standard number 6,267,000 in scientific notation.

a)

62.67 x 10⁶

b)

6.267 x 10⁶

c)

6.267 x 10⁴

d)

6.267 x 10⁷

6.

What is the best estimate for the following.

a)

9.3432...

b)

6.782...

c)

8.2326...

d)

10.7638...

7.

This is between which two integers?

a)

12 and 13

b)

13 and 14

c)

45 and 46

d)

91 and 92

8.

Which integer is a perfect square?

a)

169

b)

24

c)

10

d)

212

9.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

10.

In the equation y=mx+b, b is the ____.

a)

Slope

b)

Y-intercept

c)

X-intercept

d)

Origin

11.

The vertical axis is the _____.

a)

X-axis

b)

Y-axis

c)

Origin

d)

Slope

12.

The formula for slope has _____ on bottom.

a)

y₂- y₁

b)

x₂- x₁

c)

y₁- y₂

d)

x₁- x₂

13.

Slope is ________.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

14.

Slope is ________.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

15.

What is the solution to this system?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

16.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

17.

What is the value of the missing angle?

a)

61

b)

50

c)

60

d)

69

18.

How do you calculate slope using a graph?

a)

rise over run

b)

run over rise

c)

look at the y intercept

d)

look at the x intercept

19.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

20.

What letter represents the slope of a line in the equation y = mx + b?

a)

y

b)

m

c)

x

d)

b

21.

Does this mapping diagram represent a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values paired with it.

d)

No, because each x-value has only one y-value paired with it.

22.

The Venn diagram represents the relationships between the set of real numbers and its subsets. Which is the most specific subset that includes 7.15?

a)

Natural

b)

Whole

c)

Integer

d)

Rational

23.

The area of a square floor is 169 square feet. What is the side length of the sqaure?

(a)

24.

From their location in the diagram, what are two possible values for n and m?

a)

n=-\frac{4}{7}

and

m=1.832

b)

$n=-\frac{8}{2}$ and $m=0.75$

c)

$n=-7.456$ and $m=18$

d)

$n=9.5$ and $m=12.58$

25.

The tree diagram represents the relationship between the sets and subsets of rational numbers. Which of the following groups of numbers could be placed in Section 3?

a)

$4,\ 8,\ 0,\ -2$

b)

$\frac{1}{2},\ 7,\ 5.2,\ 3$

c)

$\sqrt{11},\ 3\sqrt{100},\sqrt{4},\ \sqrt{8}$

d)

$23,\ 0,\ 3,\ \sqrt{81}$

26.

The area of a square is 144 square centimeters. What is the side length of the square?

a)

72 cm

b)

12 cm

c)

36 cm

d)

48 cm

27.

The tree diagram represents the relationship between the sets and subsets of rational numbers. Which of the following groups of numbers could be placed in Section 2?

a)

$16,\ 5,\ 0.5,-2$

b)

$\frac{\text{1}}{2},\ 0,\ \sqrt{85},\ -8$

c)

$-9,\ 2\sqrt{100},\ \sqrt{121},\ 18$

d)

$42,\ 6.25,\ -21,\ \sqrt{4}$

28.

Which Venn diagram correctly represents the relationship between rational numbers and irrational numbers?

a)

b)

c)

d)

29.

Which Venn diagram correctly describes the relationship between Set R and Set W?

a)

b)

c)

d)

30.

The area of a square is 64 square units. What is the side length of the square?

(a)

31.

Which value is a perfect square?

a)

48

b)

24

c)

225

d)

125

32.

What kind of number is -3?

a)

rational

b)

irrational

c)

whole

d)

natural

33.

What kind of number is π ?

a)

rational

b)

irrational

c)

whole

d)

integer

34.

Is 3.74 a rational number?

a)

yes

b)

no

35.

Is -5/8 a rational number?

a)

yes

b)

no

36.

A REPEATING decimal is what type of number?

a)

Rational

b)

Irrational

37.

The square root of 2 is an irrational number because...

a)

All square roots are irrational

b)

The answer is a decimal that never stops

c)

Two is an even number

d)

The answer is 1

38.

Pi

a)

Rational

b)

Irrational

39.

Irrational numbers...

a)

reduce to π

b)

never end and never repeat

c)

can sometimes be perfect squares

d)

must be negative

40.

-17.5

a)

Rational

b)

Irrational

41.

4.032

a)

Rational

b)

Irrational

42.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

43.

A decimal that stops is which type of number? Example: 2.75

a)

Rational

b)

Irrational

44.

$\frac{18}{3}$

a)

Rational

b)

Irrational

45.

$\frac{7}{13}$

a)

Rational

b)

Irrational

46.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

47.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

48.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

49.

Find the slope of the line that passes through
(-2, 8) and (0, 8)

a)

0

b)

-2

c)

2

d)

1/2

50.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

51.

Find the slope of the line that passes through
(-4, 7) and (-6, -4)

a)

2/11

b)

-2/11

c)

11/2

d)

-11/2

52.

Find the slope of the line that passes through
(17, 2) and (17, -3)

a)

0

b)

undefined

c)

5

d)

-5

53.

Find the slope of the line that passes through
(19, -2) and (-11, 10)

a)

-2/5

b)

2/5

c)

5/2

d)

-5/2

54.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

55.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

56.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

57.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

58.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4

d)

4

59.

Find the slope of the line.

a)

4/2

b)

-4/2

c)

2

d)

-2

60.

Find the slope of the line.

a)

3/2

b)

2/3

c)

-3/2

d)

-2/3

61.

Find the slope of the line.

a)

-2

b)

2

c)

-1/2

d)

1/2

62.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

63.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

64.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

65.

What type of slope?

a)

positive

b)

negative

c)

no slope

d)

undefined

66.

Which statement is true?

a)

All lines have a positive slope.

b)

A line that contains points in Quadrant I and Quadrant III must have a negative slope.

c)

A line that rises as you move to the right along the line has a positive slope.

d)

A horizontal line has no slope.

67.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

68.

What is another term for y-values?

a)

Independent Variable

b)

Dependent Variable

69.

Which set of numbers represents the range for the given coordinate?

{(-7,0), (8,-4), (-8,-8), (5,1), (-8,9)}

a)

{-7,8,-8,5}

b)

{0, -4, -8,1,9}

c)

{0, -4,8, -8,1,9}

d)

{-7,0, -8,8,5}

70.

Does the following represent a function?

{(-7,0), (8,-4), (-8,-8), (5,1), (-8,9)}

a)

Yes

b)

No

71.

Which words describe the x-values in a function?

a)

Domain

b)

Range

c)

Input

d)

Output

72.

The point (0,0) is called what?

a)

Y Axis

b)

X Axis

c)

Origin

d)

Quadrant

73.

Evaluate the function y = -x+17 to find the range for the domain values of {7,1,17).

a)

(24,18,34)

b)

(-7,-1,-17)

c)

(10,16,0)

74.

Choose all the graphs that do not represent a function.

a)

b)

c)

d)

75.

Which table does not represent a function?

a)

b)

c)

d)

76.

Identify the range of the graph.

a)

{2, -3, -5}

b)

{-1,3}

77.

The function for the table is Y = x-6

What is the missing number?

a)

12

b)

10

c)

14

d)

13

78.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

79.

Which equation matches the table?

a)

y = x - 3

b)

y = x + 3

c)

y = 4x - 3

d)

y = 4x + 3

80.

Which sets of ordered pairs are functions?

Choose all that apply.

a)

(9, -1), (8, -2), (7, -3), (6, -4)

b)

(5, -1), (5, -2,), (5,12), (5, 0)

c)

(4, 2), (-4, 2), (2, 4), (-2, -4)

d)

(1, -4), (2, -4,), (3, -4), (4, -4)

e)

(5, 8), (4, 9), (5, 9), (4, 8)

81.

What is at (6,7)?

a)

the moon

b)

the sun

c)

a blue planet

d)

a robot

82.

Solve:
$3x+15=3\left(x+5\right)$

a)

No Solution

b)

x = 15

c)

All Real Numbers

d)

x = 0

83.

Solve:
$2x+1=2x-1$

a)

No Solution

b)

x = 0

c)

All Real Numbers

d)

x = -1

84.

$-4x-7\ge21$

a)

x ≥ 7

b)

x ≥ -7

c)

x ≤ 8

d)

x ≤ -7

85.

$8x-4\left(x+8\right)=8$

a)

x = 2

b)

x = 10

c)

x = 4

d)

x = -4

86.

Solve:

$4\left(-8x+5\right)=-32x-26$

a)

x = 54

b)

x = -54

c)

All Real Numbers

d)

No Solution

87.

Solve:
$\frac{1}{2}\left(2x+6\right)=3x+13$

a)

No Solution

b)

x = 8

c)

x = -5

d)

x = 7

88.

Solve:
$3x-x+4=4\left(2x+1\right)$

a)

No Solution

b)

All Real Numbers

c)

x = 6

d)

x = 0

89.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

90.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

91.

Which point makes the inequality true?-4x + 9 ≤ -23

a)

x = - 4

b)

x = 7

c)

x = -10

d)

x = 9

92.

Which situation can be represented by the inequality
15 + 6x ≤ 100?

a)

Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

b)

Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

c)

Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

d)

Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

93.

It costs Amy $0.20 to send a text message. She has already spent $5 in text messages this month. If she has a total of $12 that can spend this month on text messages, write and solve an inequality that will give the greatest number of text messages that she can send.

a)

0.20x + 5 = 12;
85 text messages

b)

0.20(5x) = 12;
12 text messages

c)

0.20x + 5 ≤ 12;
x ≤ 35

d)

0.20x + 5 ≥ 12;
x ≥ 35

94.

Solve

a)

A

b)

B

c)

C

d)

D

95.

\frac{x}{5}+7=9

a)

$x=5$

b)

$x=7$

c)

$x=9$

d)

$x=10$

96.

^{(a + 3)}⁄₇= 3

a)

a= 18

b)

a= 21

c)

a= 4

d)

a= 11

97.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

98.

What inequality is graphed?

a)

x > 2 and x < 4

b)

x ≥ 2 and x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

99.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

100.

Solve for y:
5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

101.

8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

102.

< A and < B are complementary. If <A measures 30 degrees, what is the measure of <B?

a)

30

b)

50

c)

60

d)

150

103.

If < 1 measures 160 degrees, what is the measure of < 2?

a)

160

b)

180

c)

20

d)

30

104.

Given the two parallel lines cut by a transversal, what is the measure of <3?

a)

35

b)

45

c)

5x + 35

d)

180

105.

The measures of supplementary angles add up to_______.

a)

It depends on the angles.

b)

360

c)

180

d)

90

106.

Perpendicular lines intersect to form:

a)

parallel lines

b)

transversals

c)

acute angles

d)

right angles

107.

Angles 1-8 measure either_____ or ______.

a)

180, 360

b)

90,180

c)

135, 45

d)

45, 90

108.

a)

33

b)

53

c)

90

d)

213

109.

Name a pair of alternate exterior angles.

a)

<1, <2

b)

<1, <4

c)

<1, <8

d)

<3, < 6

110.

Select ALL that are true.

a)

The third angle in the triangle measures 69 degrees.

b)

x = 69

c)

x = 111

d)

x equals 75 plus 36

111.

The sum of the measures of the exterior angles of any polygon equals _______.

a)

90 degrees

b)

180 degrees

c)

360 degrees

d)

540 degrees

112.

What is the measure of one exterior angle of a regular hexagon?

a)

30

b)

60

c)

72

d)

90

113.

Which can be used to find the sum of the measures of the interior angles of any polygon?

a)

n x 180, where n is the number of sides

b)

(n-2) x 180 where n is the number of sides

c)

The sum is always 180.

d)

The sum is always 360.

114.

What is the measure of one interior angle of the regular polygon shown?

a)

90

b)

135

c)

180

d)

1080

115.

Lines in the same plane that never meet are called:

a)

perpendicular

b)

skew

c)

supplementary

d)

parallel

116.

The three angles of a triangle measure x, 2x, and 6x. What is the value of x?

a)

9

b)

20

c)

40

d)

90

117.

How many bags of potatoes would you expect if there were 6 bags of seeds planted?

a)

125

b)

150

c)

175

d)

8

8th Grade Cumulative Review

Total questions: 117

Worksheet time: 5hrs 36mins

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