Free Printable 8th Grade Math Final Review

1.

Figure Q was the result of a sequence of transformations on figure P, both shown below. Which sequence of transformations could take figure P to figure Q?

a)

Reflection over the x-axis and translation 7 units right

b)

Reflection over the y-axis and translation 3 units up

c)

Translation 1 unit right and 90° rotation about the origin

d)

Translation 4 units right and a dilation

2.

What statement about the chart is true?

a)

It is a function because all of the y-values are odd

b)

It is not a function because all of the y-values are odd

c)

It is not a function because all of the x-values are in order from least to greatest

d)

It is a function because for each input, there is one and only one output

3.

Which line represents the best fit for the scatter plot data?

a)

b)

c)

d)

4.

The table below shows the cost of different numbers of goldfish at a pet store. The cost is a linear function of the number of goldfish. Which statement describes the rate of change of this function?

a)

The cost increases $1.50 each time 5 goldfish are added

b)

The cost increases $3.00 each time 5 goldfish are added

c)

The cost increases $4.50 each time 5 goldfish are added.

d)

The cost increases $6.00 each time 5 goldfish are added.

5.

Trent draws a triangle with one interior angle measuring 34. Which angle measures could be the measures of the other two interior angles in Trent’s triangle?

a)

46 and 90∘

b)

53 and 127∘

c)

66 and 80∘

d)

68 and 68∘

6.

The four letters represent relationships in which the x values represent inputs and the y values represent the corresponding outputs.

Which letter represents a relationship that is not a function?

a)

Q

b)

R

c)

S

d)

T

7.

A cylinder has a radius of 4.8 feet and a height of 8.1 feet. What is the volume, to the nearest tenth of a cubic foot, of the cylinder?

$V\ =\ \pi r^2h$

a)

989.4

b)

586.3

c)

244.3

d)

186.6

8.

Which phrase describes a nonlinear function?

a)

The cost of gasoline as a function of the number of gallons purchased; C= $2.69g

b)

The distance traveled by a car moving at constant speed as a function of time; D=rt

c)

The area of a square as a function of the side length; A=s²

d)

The amount of flour needed in a recipe as a function of the amount of butter; F= 4b

9.

In comparing the rates of change, which statement about Function A and Function B is true?

a)

Function A and Function B have the same rate of change

b)

Function A has a greater rate of change than Function B has

c)

Function A and Function B both have negative rates of change.

d)

Function A has a positive rate of change and Function B has a negative rate of change

10.

Figure 1 can be transformed to create Figure 2 using a single transformation.

Which transformation can used to accomplish this?

a)

Dilation

b)

Rotation

c)

Reflection

d)

Translation

11.

A bicycle club went on a six-hour ride. The graph below shows the relationship between the number of hours spent on the trails and the number of miles traveled.

Which statement best interprets information provided by the graph?

a)

The club members rode at a constant speed for entire ride

b)

The club members stopped for a rest during their ride

c)

The number of miles traveled decreased continuously throughout the ride

d)

The club members travelled for 50 hours.

12.

Charlotte was asked to determine whether the function 𝑦 = −3𝑥² is linear or nonlinear. The graph below represent the function, 𝑦 = −3𝑥².

a)

The function is linear because the graph of the function is not a line.

b)

The function is nonlinear because the graph of the function is not a line

c)

The function is linear because the rate of change is constant.

d)

The function is nonlinear because the rate of change is constant

13.

The image of ΔABC, after a rotation of 90°, is ΔDEF.

Which statement is true?

a)

$\angle A\ \cong\ \angle E$

b)

$\angle A\ \cong\ \angle D$

c)

$\angle C\ \cong\ \angle D$

d)

$\angle C\ \cong\ \angle E$

14.

Which statement best describes this function?

a)

Function f is nonlinear increasing.

b)

Function f is nonlinear decreasing

c)

Function f is linear increasing

d)

Function f is linear decreasing

15.

Which statement best describes this function?

a)

Function f is nonlinear increasing.

b)

Function f is nonlinear decreasing

c)

Function f is linear increasing

d)

Function f is linear decreasing

16.

The table below represents a linear function. Which equation below represents the linear function in the table?

a)

$y\ =\ 4x\ +\ 1$

b)

$y\ =\ x\ +\ 7$

c)

$y\ =\ 2x\ +\ 7$

d)

$y\ =\ 3x\ +\ 1$

17.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

18.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

19.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

20.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

21.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

22.

How do you solve:
(2x⁵)(6x⁴)

a)

MULTIPLY coefficients
MULTIPLY exponents

b)

DIVIDE coefficients
SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients
ADD exponents

23.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

24.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

25.

x⁰

a)

x

b)

⁰

c)

1

d)

Undefined

26.

x⁸ / x²

a)

x⁴

b)

x¹⁶

c)

x^-6

d)

x⁶

27.

How do you write
8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

28.

Express the following in standard notation:

8.025 x 10^-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

29.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

30.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

31.

Which equation best represents the relationship between x and y in the table shown?

a)

y = -3x - 10

b)

y = -1/3x - 10

c)

y = -10x + 10

d)

y = -4x - 10

32.

Which equation best describes a relationship between x and y in the table shown?

a)

y=1/4x+3

b)

y=4x+12

c)

y=-3x-3

d)

y=-2x-12

33.

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

a)

y=15x

b)

y=15x+80

c)

y=x+15

d)

y=80x+15

34.

What is the slope of this graph?

a)

2

b)

-2

c)

-1/2

d)

1/2

35.

How do you change
y-4=3(x+3)
into slope-intercept form?

a)

y=23x-1/23

b)

y=3x+13

c)

y-7x=9

d)

y=13-3x

36.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

37.

Write an equation with a y-intercept of 5 and a slope of -1/2

a)

y=1/2x - 5

b)

y= -1/2x+5

c)

y=5x - 1/2

d)

y=-5x + 1/2

38.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

39.

What is the range of the following graph?

a)

-5, -1, 0 , 1, 5

b)

-4, -2, 0, 3, 6

c)

(-4, 1) ( 6, 0)

d)

(6, 0)

40.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

41.

Is the relation 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 pair with it.

d)

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

42.

a)

Function

b)

Not a Function

43.

a)

Function

b)

Not a Function

44.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

45.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

46.

Answer.

a)

A

b)

B

c)

C

d)

D

47.

Answer.

a)

A

b)

B

c)

C

d)

D

48.

Identify the domain of the following relation:

a)

-6, 14, 2, 28

b)

(-6,14), (0,32), (2,38), (4,44)

c)

-6, 0, 2, 4

d)

14, 32, 38, 44

49.

If h(a) = 3 - 2a
Find h(-3).

a)

12

b)

-2

c)

-3

d)

9

50.

what is the formula for finding the hypotnuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

51.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

52.

The legs form what type of angle?

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right

53.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

54.

The pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

55.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

56.

Find the distance between these 2 points.

a)

5.8

b)

6.3

c)

8.1

d)

40

57.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

58.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

59.

A line contains the points (4, 3) and (19, −2). What is the slope of the line?

a)

m = -1

b)

m = -3

c)

m = - 1/3

d)

m = 1/3

60.

Find the slope of the line that passes through (10, -8) and (1, 12).

a)

20/9

b)

-20/9

c)

4/9

d)

9/4

61.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

62.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

y= -3

63.

Solve by elimination
5x+6y= -10
3x-2y= -6

a)

(-2,0)

b)

(0,-2)

c)

(2,0)

d)

(0,2)

64.

What is the solution to this system?
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

65.

What is the solution to this system?
x - y = 6
y= 2x - 5

a)

(1,3)

b)

(-1,3)

c)

(-1,-7)

d)

(1,-7)

66.

4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

67.

3x+7y=23
-3x-7y=-17

a)

No solution

b)

Infinitely many

c)

(-3,3)

d)

(3,3)

68.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

69.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

70.

-5 + 2 =

a)

3

b)

-3

c)

7

d)

-7

71.

10 - 1 =

a)

-11

b)

11

c)

-9

d)

9

72.

-7 - 3 =

a)

-10

b)

4

c)

10

d)

-4

73.

-8 + 4 =

a)

4

b)

-12

c)

12

d)

-4

74.

-72 ÷ 9

a)

Positive

b)

Negative

75.

-3 x 5

a)

Positive

b)

Negative

76.

3 x 5

a)

Positive

b)

Negative

77.

72 ÷ (-9)

a)

Positive

b)

Negative

78.

3 x (-5)

a)

Positive

b)

Negative

79.

-11 ÷ (-11)

a)

Positive

b)

Negative

80.

7 x 9

a)

Positive

b)

Negative

81.

-7 x 9

a)

Positive

b)

Negative

82.

-7 x (-9)

a)

Positive

b)

Negative

83.

|18| - |-10| = ?

a)

-8

b)

28

c)

8

d)

-28

84.

What is |-9| ?

a)

9

b)

-9

85.

What is the integer for
"ten degrees below zero"?

a)

-10

b)

10

86.

What is the integer for
"a loss of 11 yards"?

a)

-11

b)

11

87.

Select the true statement

a)

|-3| =-3

b)

|-3| = 3

c)

|-3| = 3 and -3

d)

|-3| = 1/3

88.

What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.

a)

561.5

b)

267.9

89.

Jack wants to know how much water sphere can hold with a radius of 8 cm. Find the volume.

a)

83.6cm³

b)

2144.7cm³

c)

254cm³

d)

2220cm³

90.

If a tennis ball has a diameter of 10, What is the volume of the tennis ball? Round to the nearest tenth.

a)

345.8

b)

523.6

91.

FInd the Surface area of the shape below?

a)

258 m²

b)

268 m²

c)

248 m²

d)

278 m²

92.

what is the volume?

a)

72

b)

27

c)

1.5

d)

272

93.

a)

A

b)

B

c)

C

d)

D

94.

a)

A

b)

B

c)

C

d)

D

95.

a)

A

b)

B

c)

C

d)

D

96.

a)

A

b)

B

c)

C

d)

D

97.

a)

A

b)

B

c)

C

d)

D

98.

a)

A

b)

B

c)

C

d)

D

99.

a)

A

b)

B

c)

C

d)

D

100.

a)

A

b)

B

c)

C

d)

D

101.

a)

A

b)

B

c)

C

d)

D

102.

a)

A

b)

B

c)

C

d)

D

103.

a)

A

b)

B

c)

C

d)

D

104.

a)

A

b)

B

c)

C

d)

D

105.

a)

A

b)

B

c)

C

d)

D

106.

a)

A

b)

B

c)

C

d)

D

107.

a)

Negative Linear

b)

Positive Linear

c)

No Relationship

d)

Perfect Linear

108.

a)

12

b)

81

c)

34

d)

7

109.

a)

$y=-\frac{1}{2}x-4$

b)

$y=-4x-\frac{1}{2}$

c)

$\frac{1}{2}x=4y$

d)

$-4x=-\frac{1}{2}y$

110.

a)

$61.78\cdot10^3$

b)

$6.178\cdot10^3$

c)

$6.178\cdot10^4$

d)

$6.178\cdot10^1$

111.

a)

$y^4$

b)

$y^7$

c)

$y^{13}$

d)

$y^{10}$

112.

a)

19.0

b)

19

c)

13.8

d)

13.9

113.

a)

(4, 3)

b)

(3, 4)

c)

(2, 0)

d)

(0, 2)

114.

What is the y-intercept?

a)

(7,0)

b)

(0,7)

c)

(5,0)

d)

(0,5)

115.

Find the slope and explain what it means.

a)

The slope is 2/3. Every 2 months, the iceberg increases in thickness by 3 meters.

b)

The slope is 2/3. The iceberg increases in thickness every 3 months.

c)

The slope is -2/3. The iceberg decreases in thickness by 2 meters every 3 months.

d)

The slope is -2/3. Every 2 months, the iceberg decreases in thickness by 3 meters.

116.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

117.

6z + 3 -4z = 9

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

118.

What is the inverse operation you would use to solve:
6x = 36

a)

Multiply

b)

Divide

c)

Add

d)

Subtract

119.

Which equation matches the sentence "8 less than q is 14"?

a)

q - 8 = 14

b)

8 - q = 14

c)

8 + q = 14

d)

8q = 14

120.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

121.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

122.

What is the measure of ∠2?

a)

38

b)

58

c)

71

d)

142

123.

Find D

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

124.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

125.

What is the complement angle to 30°?

a)

60°

b)

30°

c)

150°

d)

230˚

126.

If angle ∠ABD is 67°. What is ∠DBC?

a)

180°

b)

90°

c)

67°

d)

23°

127.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

128.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

129.

Reflections over the x-axis change the ____-__________.

a)

y-coordinate

b)

x-coordinate

130.

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

131.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

132.

What is the slope?

a)

$2/1 mile drive

b)

$1/2 miles driven

c)

2 miles driven/$1

d)

1 mile driven/$2

133.

The vertical axis is the _____.

a)

X-axis

b)

Y-axis

c)

Origin

d)

Slope

134.

Slope is ________.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

135.

Slope is ________.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

136.

List in order from least to greatest.
5/4, 56%, 1.07, 4/5

a)

5/4, 56%, 1.07, 4/5

b)

1.07, 4/5, 5/4, 56%

c)

56%, 1.07, 4/5, 5/4

d)

56%, 4/5, 1.07, 5/4

137.

If m=-3 and b= 2, what is the equation for this line?

a)

y= -3x +2

b)

y= -3x -2

c)

y= 3x +2

d)

y= 3x - 2

138.

√36=

a)

6

b)

16

c)

irrational

d)

18

139.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

140.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

141.

What does "m" stand for in the slope formula?

a)

y axis

b)

slope

c)

y coordinate

d)

x coordinate

142.

a)

b = 2

b)

b = -8

c)

b = 8

d)

b = -2

143.

a)

b)

c = 3

c)

c = -3

d)

c = 2

144.

Simplify by combining Like Terms:

h + h + h +4

a)

7h

b)

3h + 4

c)

3h - 4

d)

7

145.

Simplify by combining Like Terms:

7x + 5z -15 - 5z

a)

7x + 15

b)

7x - 15

c)

17z - 15

d)

17z - 5z

146.

7^-2

a)

49

b)

10/49

c)

-49

d)

1/49

147.

2^-1

a)

1/2

b)

1/1

c)

-1/1

d)

-1/2

148.

Simplify.
s^-5⋅ s^-2

a)

s^-3

b)

¹/_s⁷

c)

s^-7

d)

¹/_s³

149.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

150.

What is the y-intercept in the following equation: y = -4x - 5

a)

-4

b)

-4x

c)

5

d)

-5

8th Grade Math Final Review

Total questions: 150

Worksheet time: 5hrs 44mins

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