Free Printable 8th Grade Math Final

1.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

2.

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

a)

add

b)

subtract

c)

multiply

d)

divide

3.

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

a)

add

b)

subtract

c)

multiply

d)

divide

4.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

5.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

6.

x⁰

a)

x

b)

⁰

c)

1

d)

Undefined

7.

x⁸ / x²

a)

x⁴

b)

x¹⁶

c)

x^-6

d)

x⁶

8.

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

9.

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

10.

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

11.

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

12.

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

13.

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

14.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

15.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

16.

what is the formula for finding the hypotnuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

17.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

18.

The legs form what type of angle?

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right

19.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

20.

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.

21.

6z + 3 -4z = 9

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

22.

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

23.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

24.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

25.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

26.

7⁰

a)

1

b)

7

c)

0

d)

-7

27.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

28.

Find D

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

29.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

30.

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

31.

What is the slope?

a)

$2/1 mile drive

b)

$1/2 miles driven

c)

2 miles driven/$1

d)

1 mile driven/$2

32.

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

33.

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

34.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

35.

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

36.

What is the slope of this graph?

a)

2

b)

-2

c)

-1/2

d)

1/2

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.

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

40.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

41.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

42.

Which graph is proportional?

a)

A

b)

B

c)

C and D

d)

All of the graphs are proportional

43.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

44.

Calculate the Volume

a)

410 cm3

b)

420 cm3

c)

402 cm3

d)

401 cm3

45.

Solve by finding the value of x.

7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

46.

What letter represents the slope in this equation?

y = mx + b

a)

x

b)

y

c)

m

d)

b

47.

Identify the y-intercept in this equation.

y = -1/2x - 2

a)

-1/2

b)

1/2

c)

2

d)

-2

48.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

49.

solve for c

a)

7

b)

9

c)

4

d)

13

50.

Simplify

a)

9

b)

√9

c)

3√9

d)

can't simplify

51.

Solve the equation below:

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

52.

Simplify the expression using exponents.

a)

81⁸

b)

9¹⁵

c)

9⁸

d)

81¹⁵

53.

Using exponents, what is the simplified form of the expression (2⁴)⁷

a)

2³

b)

14²⁸

c)

2²⁸

d)

2¹¹

54.

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

a)

5⁹

b)

1⁵

c)

5¹⁴

d)

5⁵

55.

Identify the slope and y -intercept in the equation:

a)

y = 2x - 2

b)

y = -2x + 2

c)

y = -2x + 4

d)

y = 2x + 4

56.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

57.

-4(8r + 3)

a)

-32r - 12

b)

32r - 12

c)

-32r + 12

d)

32r + 12

58.

The formula for slope has _____ on bottom.

a)

y₂- y₁

b)

x₂- x₁

c)

y₁- y₂

d)

x₁- x₂

59.

Slope is ________.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

60.

Simplify. $3x^{3\ }\cdot\ 3x^{3^{ }}$

a)

$6x^{6^{ }}$

b)

$9x^9$

c)

$9x^6$

d)

$3x^3$

61.

Simplify $2^2\ \cdot\ 2^{-3}$

a)

$-\frac{1}{64}$

b)

$-\frac{1}{2}$

c)

$\frac{1}{2}$

d)

$\frac{1}{64}$

62.

What is the area of the largest square?

a)

$34\ in^2$

b)

$40\ in^2$

c)

$59\ in^2$

d)

$84\ in^2$

63.

What is the volume of this solid cylinder? Use 3.14 for pi. Round your work to the nearest

tenth.

$V=\pi r^2h$

a)

1.4 cubic feet

b)

2.0 cubic feet

c)

4.4 cubic feet

d)

17.7 cubic feet

64.

Which is the closest to the volume of ice cream that the cone can hold?

$V=\frac{1}{3}\pi r^2h$

a)

$5.2\ in^3$

b)

$15.7\ in^3$

c)

$20.9\ in^3$

d)

$62.8\ in^3$

65.

Which of the graphs below is an example of a positive correlation?

a)

b)

c)

d)

66.

Which of the graphs below is an example of a negative correlation?

a)

b)

c)

d)

67.

Which of the graphs below is an example of no correlation?

a)

b)

c)

d)

68.

Simplify:
5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

69.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

70.

(3x² + 4x - 2) - (5x + 7)

a)

3x² - x - 9

b)

2x² - 9

c)

3x² + 9x - 5

d)

3x² - x + 5

71.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

72.

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

73.

60\div\left(-3\right)\ =\ ?

a)

20

b)

-20

c)

180

d)

-180

74.

$Simplify:\ \frac{35}{20}$

a)

$\frac{7}{4}$

b)

$\frac{4}{7}$

c)

$\frac{15}{5}$

d)

$\frac{1}{2}$

75.

12 - -6 =?

a)

-6

b)

18

c)

6

d)

-18

76.

-45 + 12 =?

a)

-57

b)

-33

c)

57

d)

33

77.

Which categories of numbers does (-5) belong to?

a)

Whole, Integer, Natural

b)

Integer, Rational

c)

Irrational

d)

Natural and Whole

78.

How would the fraction 2/10 be written as a decimal?

a)

2.10

b)

0.2

c)

.02

d)

20

79.

$\sqrt{100}\ =?$

a)

5

b)

10

c)

1

d)

50

80.

$\sqrt{25\ }=?$

a)

4

b)

15

c)

5

d)

2

81.

What is the cubed root of 125?

a)

3

b)

12

c)

6

d)

5

82.

What is the cubed root of 8?

a)

0

b)

16

c)

4

d)

2

83.

What is the solution for x + 9 = 21

a)

10

b)

12

c)

11

d)

13

84.

Solve for b
2b = -16

a)

8

b)

4

c)

-8

d)

3

85.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

86.

m+13=21

a)

m=34

b)

m=8

c)

m=273

d)

m=6

87.

Solve for y:
y - 7 = 10

a)

17

b)

-3

c)

3

d)

-17

88.

k+8=15

a)

k=23

b)

k=10

c)

k=7

d)

k=11

89.

Solve:

a)

-12

b)

-8

c)

12

d)

8

90.

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

91.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

92.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

93.

x + 12 = 20

a)

x= 32

b)

x = 12

c)

x = 8

d)

42

94.

Solve the equation:
x + 7 = 12

a)

x = 5

b)

x = 19

c)

x = -5

d)

x = 84

95.

Solve the equation:
x - 4 = -3

a)

x = -7

b)

x = 1

c)

x = 12

d)

x = -12

96.

Solve the equation:
x - 3 = -12

a)

x = 9

b)

x = -15

c)

x = -9

d)

x = 15

97.

Solve the equation:
x - 4 = 6

a)

x = 10

b)

x = -10

c)

x = 2

d)

x = -2

98.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

99.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

100.

Solve: x + 3 < − 5

a)

x < − 2

b)

x < − 8

c)

x > − 8

d)

x > − 2

101.

c - 7 > 8

a)

c < 15

b)

c > 15

c)

c < - 15

d)

c >, = 15

102.

x>5

a)

x is greater than 5

b)

x is less than 5

c)

x is zero

103.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

104.

The sign below means...
≥

a)

Greater Than

b)

Less Than

c)

Greater Than or Equal to

d)

Less Than or Equal to

105.

<

a)

equal

b)

less than

c)

less than or equal to

d)

at least

106.

≤

a)

equal

b)

less than

c)

less than or equal to

d)

at least

107.

Which number would you add to each side of the inequality to obtain $x$ ?

$x+5>9$

a)

$-5$

b)

$-9$

108.

Write the decimal as a fraction in simplest form

a)

b)

c)

d)

109.

Slope, in basic terms, is simply...

a)

Rise over run

b)

Run over rise

c)

Left over down

d)

Right over up

110.

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

a)

Slope

b)

Y-intercept

c)

X-intercept

d)

Origin

111.

In the Pythagorean Theorem, c is always the ____ number.

a)

largest

b)

smallest

c)

middle

d)

first

112.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

113.

Solve: -2y - 7 = 3

a)

-5

b)

5

c)

2

d)

-2

114.

Which number is an integer?

a)

-1/2

b)

0.2

c)

3/4

d)

-2

115.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

116.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

117.

Find the volume of the solid shown in the figure?

a)

7230

b)

6621

c)

1130

d)

907

118.

V = ?

a)

150.72 mm³

b)

904.32 mm³

c)

2,712.96 mm³

119.

V = ?

a)

14.13 in³

b)

56.52 in³

c)

169.56 in³

120.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

121.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

122.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

123.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

right two, down five

b)

right two, down 9

c)

left two, down 9

d)

left two, down 5

124.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

270 counterclockwise

125.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

a)

$150

b)

$192

c)

$1350

d)

$1392

126.

Chance is allergic to dogs, so he went to the store and bought an inflatable one for $700. He plans to pay $40 each week. Write an expression that represents this situation.

a)

700+40x

b)

40x+700

c)

40x-700

d)

700-40x

127.

What is the value of x in the equation x² = 49?

a)

x = +5 or -5

b)

x = +7 or -7

c)

x = 24.5

d)

x = 98

128.

2(4X-7)

a)

8x-14

b)

8x-7

c)

6x+7

d)

8x+14

129.

Simplify the following expression
9 + 5m - 4

a)

5m-5

b)

10m

c)

5m+5

d)

5m+13

130.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

131.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

132.

Simplify the expression: 7+3(1 - 2x)

a)

21 - 6x

b)

10 - 2x

c)

10 - 20x

d)

10 - 6x

133.

Simplify:
3x - (x - 6) - 12

a)

2x - 6

b)

4x - 18

c)

2x + 6

d)

4x - 6

134.

–3x(x – 4)

a)

–3x + 12

b)

–3x – 12

c)

–3x² – 12x

d)

–3x² + 12x

135.

solve for c

a)

7

b)

9

c)

4

d)

13

136.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

137.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

138.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

139.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

140.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

141.

An angle that is exactly 90 degrees.

a)

right

b)

acute

c)

obtuse

d)

straight

142.

What is the scale factor for the dilation that takes quadrilateral ABCD to A'B'C'D'?

a)

1/2

b)

2

c)

1/3

d)

3

143.

If side b is 16 and side c is 20, how long is side a?

a)

4

b)

√36

c)

12

d)

36

144.

Solve for the value of x.

a)

40

b)

42

c)

48

d)

88

145.

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

146.

Which equation matches the sentence "6.5 more than x is 17"?

a)

6.5 + x = 17

b)

6.5 - x = 17

c)

x - 6.5 = 17

d)

6.5x = 17

147.

What is the measure of ∠2?

a)

38

b)

58

c)

71

d)

142

148.

Find D

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

149.

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

150.

What is the complement angle to 30°?

a)

60°

b)

30°

c)

150°

d)

230˚

8th Grade Math Final

Total questions: 150

Worksheet time: 7hrs 21mins

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