Free Printable 8th Grade Practice questions for the midterm

1.

a)

1/2

b)

1/10

c)

1/100

d)

1/9

2.

a)

3/10

b)

1/3

c)

1/9

d)

30/99

3.

a)

7/50

b)

14/9

c)

7/45

d)

14/99

4.

Identify the fraction equivalent to the decimal below.

a)

2 4/99

b)

2 4/9

c)

2 2/5

d)

2 4/10

5.

Convert the following decimal into a fraction.

0.8\overline{3}

a)

5/6

b)

7/8

c)

9/11

d)

12/14

6.

Which is the best estimate of the square root of 63?

a)

7.1

b)

7.3

c)

7.5

d)

7.9

7.

Which number has a square root that could be estimated at 8.94?

a)

65

b)

90

c)

80

d)

70

8.

Which number is a perfect square?

a)

225

b)

132

c)

99

d)

110

9.

Estimate the ∛100 to the nearest whole number.

a)

5

b)

4

c)

10

d)

11

10.

Estimate to the nearest whole number.

a)

7

b)

8

c)

6

d)

5

11.

What number, n, cubed is equal to 512?

n³ = 512

a)

8

b)

171

c)

7

d)

134,217,728

12.

What number, n, cubed is equal to -216?

n³ = -216

a)

-6

b)

6

c)

-7

d)

72

13.

Simplify the expression.

a)

1²²

b)

1³⁰

c)

6²²

d)

6³⁰

14.

Using exponents, simplify the following expression

a)

x^-7

b)

1/x⁷

c)

x⁷

d)

x^-9

15.

Simplify: (m⁹)²

a)

m¹¹

b)

2m⁹

c)

m¹⁸

d)

m^4.5

16.

CHALLENGE:
(3x³y) (2x⁸y⁵)

a)

5x¹¹y⁶

b)

6x¹¹y⁶

c)

6x²⁴y⁵

d)

3x¹¹2y⁵

17.

Simplify

a)

x²

b)

x

c)

1

d)

x⁸

18.

Simplify

a)

2x⁶

b)

2x

c)

2x⁵

d)

2x⁸

19.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

20.

Which of the following shows the POWER rule of Exponents?

a)

$x^0=1$

b)

$\frac{x^a}{x^b}=x^{a-b}$

c)

$\left(x^a\right)^b=x^{a\cdot b}$

d)

$x^a\cdot x^b=x^{a+b}$

e)

$x^{-a}=\frac{1}{x^a}$

21.

Which of the following shows the PRODUCT rule of Exponents?

a)

$x^0=1$

b)

$\frac{x^a}{x^b}=x^{a-b}$

c)

$\left(x^a\right)^b=x^{a\cdot b}$

d)

$x^a\cdot x^b=x^{a+b}$

e)

$x^{-a}=\frac{1}{x^a}$

22.

Which of the following shows the QUOTIENT rule of Exponents?

a)

$x^0=1$

b)

$\frac{x^a}{x^b}=x^{a-b}$

c)

$\left(x^a\right)^b=x^{a\cdot b}$

d)

$x^a\cdot x^b=x^{a+b}$

e)

$x^{-a}=\frac{1}{x^a}$

23.

Which of the following shows the ZERO EXPONENT rule of Exponents?

a)

$x^0=1$

b)

$\frac{x^a}{x^b}=x^{a-b}$

c)

$\left(x^a\right)^b=x^{a\cdot b}$

d)

$x^a\cdot x^b=x^{a+b}$

e)

$x^{-a}=\frac{1}{x^a}$

24.

Which of the following shows the NEGATIVE EXPONENT rule of Exponents?

a)

$x^0=1$

b)

$\frac{x^a}{x^b}=x^{a-b}$

c)

$\left(x^a\right)^b=x^{a\cdot b}$

d)

$x^a\cdot x^b=x^{a+b}$

e)

$x^{-a}=\frac{1}{x^a}$

25.

7⁰

a)

1

b)

7

c)

0

d)

-7

26.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

27.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

28.

Which of the following numbers is the SMALLEST?

a)

8.7 x 10³

b)

3 x 10⁴

c)

1.3 x 10⁸

d)

9 x 10²

29.

Write 6,700 in scientific notation.

a)

6.7 x 10³

b)

6.7 x10^-3

c)

67 x 10²

d)

67 x 10^-2

30.

Which of the following expressions is written in scientific notation?

a)

62.5 x 10⁵

b)

0.2035 x 10^-⁵

c)

247 x 1¹⁰

d)

5.093 x10^-4

31.

Give the sum of (2.6 x 10⁶) + (4.2 x 10⁶)

a)

6.8 x 10⁶

b)

6.8 x 10¹²

c)

8.4 x 10⁶

d)

3.2 x 10¹²

32.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

33.

$\frac{t}{-8}=\ -5$

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

34.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

35.

5 = f - 2

a)

4

b)

7

c)

-3

d)

2

36.

Solve for x.

x - 8 = -5

a)

x = 13

b)

x = -13

c)

x = 3

d)

x = -3

37.

Solve:

-5x + 4 = -31

a)

x = -5

b)

x = 7

c)

x = -7

d)

x = 5

38.

Solve:

33 = -4x + 1

a)

x = -11

b)

x = 11

c)

x = 8

d)

x = -8

39.

Solve:

10 + 6x = 70

a)

x = 10

b)

x = -10

c)

x = 6

d)

x = -6

40.

Solve:

-x + 10 = 8

a)

x = 4

b)

x = -2

c)

x = 2

d)

x = -4

41.

Solve:

-8x - 8 = 48

a)

x = 6

b)

x = -6

c)

x = 7

d)

x = -7

42.

$14\ =\ 4\ +\ \frac{5}{8}h$

a)

$\frac{144}{5}$

b)

16

c)

$\frac{25}{4}$

d)

-16

43.

undefined

a)

$\frac{6}{10}$

b)

$\frac{6}{25}$

c)

$\frac{3}{2}$

d)

$\frac{12}{30}$

44.

$3y-3\ \frac{2}{3}=14\ \frac{1}{3}$

a)

y = 6

b)

y = -6

c)

y = 32

d)

y = -32

45.

$\frac{5}{8}x+2=17$

a)

x = -24

b)

x = 50

c)

x = 24

d)

x = -50

46.

a)

1/7

b)

47/36

c)

7

d)

23

47.

Find x.

a)

x = $\frac{8}{11}$

b)

x = 5

c)

x = $\frac{15}{14}$

d)

x = $\frac{5}{3}$

48.

Clear the equation to solve.

a)

1

b)

2

c)

4.67

d)

12

49.

3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

x = 0

d)

x = -12

50.

x - 9 = 8(2x + 3) -18

a)

x = -1

b)

x = 1

c)

x = 10

d)

x = -3

51.

5(x-3)=40

a)

11

b)

43/5

c)

38

d)

37/5

52.

$-2\left(4x+12\right)=2x-10x-24$

a)

No solution

b)

x = 0

c)

IMS

d)

x = -1

53.

$\frac{4}{5}x-2=6$

a)

$x=10$

b)

$x=12$

c)

$x=40$

d)

$x=14$

54.

$-2\left(4x+12\right)=2x-10x-24$

a)

No solution

b)

x = 0

c)

IMS

d)

x = -1

55.

$\frac{2}{3}\left(6-9x\right)=2\left(-3x+4\right)$

a)

x = 12

b)

IMS

c)

No solution

d)

x = -3

56.

8m+12=2(4m+6)

a)

No Solution

b)

One Solution

c)

Infinite Solutions

57.

5y-15=5(y-2)

a)

No Solution

b)

One Solution

c)

Infinite Solutions

58.

What does the $m$ stand for in the following equation? $y=mx+b$

a)

math

b)

slope

c)

y-intercept

d)

meters

59.

What is the slope of the following equation? $y=-2x+5$

a)

$m=5$

b)

$m=2$

c)

$m=-5$

d)

$m=-2$

60.

What is the slope of this linear relationship?

a)

$m=3$

b)

$m=\frac{1}{3}$

c)

$m=4$

d)

$m=1$

61.

What is the slope of the graphed line?

a)

$m=1$

b)

$m=-1$

c)

$m=-2$

d)

$m=2$

62.

What is the slope of the following equation?
$y=4x+7$

a)

$m=4$

b)

$m=7$

c)

$m=-4$

d)

$m=-7$

63.

Which number or letter represents the y-intercept?

$y=\frac{1}{2}x-6$

a)

y

b)

$\frac{1}{2}$

c)

x

d)

-6

64.

What is the y-intercept of the line graphed?

a)

(-6,-6)

b)

(0,0)

c)

(-6,0)

d)

(0,-6)

65.

What is the slope of the line containing the points shown?

a)

$-\frac{1}{4}$

b)

4

c)

$\frac{1}{4}$

d)

-4

66.

What is the y-intercept of the line containing the points shown?

a)

(0,-6)

b)

(-6,-8)

c)

(-3,-7)

d)

(3,-5)

67.

Find the slope of the line that contains the coordinate points

(6,-2) and (-4,3)

a)

$-\frac{1}{2}$

b)

2

c)

$\frac{1}{2}$

d)

-4

68.

Which letter represents the y-intercept?

y=mx+b

a)

y

b)

m

c)

x

d)

b

69.

Find the EQUATION for the trend line (in slope-intercept form) using the points (2, 2) and (4, 3).

a)

y = 1/2x + 3

b)

y = 1/2x + 1

c)

y = 1/2x + 2

d)

y = 1/2x + -1

70.

The graph of y = 2x + 2 is shown.

What coordinates identify the y-intercept of this graph?

a)

(0,5)

b)

(1,1)

c)

(0,2)

d)

(5,0)

71.

The graph below shows the relationship between the number of hours Carlo works and the amount of money he earns at his job.

Which of the following equations best represents this graph?

a)

y = 10x

b)

y = 5x

c)

y = 30x

d)

y = 7.5x

72.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

73.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

74.

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

75.

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.

76.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

77.

Is this table a function or not a function?

a)

Function

b)

Not a Function

78.

Is this set of ordered pairs a function or not a function?

{5,-2), (3,-5), (2,-5), (0,-2), (-1,-3)}

a)

Function

b)

Not a Function

79.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

80.

Which relation is a function?

a)

(-2,0), (-1,-6), (0,-6), (1,0), (5,0)

b)

(-3,5), (-2,6), (-1,7), (-2,8), (-3,9)

c)

(11,2), (8,4), (5,6), (5,8), (-1,10)

d)

(2,-1), (2,-2), (2,-3), (2,-4), (2,-5)

81.

If this graph shows a 10 hour snowstorm, how many inches of snow were already on the ground at the beginning of the storm?

a)

0

b)

2

c)

8

d)

10

82.

What part(s) of this graph shows where the amount of snow was melting (decreasing)?

a)

A and C

b)

B and D

c)

only C

d)

E

83.

What part(s) of this graph shows where the amount of snow was accumulating (increasing)?

a)

A and C

b)

B and D

c)

only C

d)

E

84.

Which of the following "could" have happened at part B of this story graph?

a)

a car was traveling at 50 mph

b)

a boy stopped at a park to sit on a bench

c)

a girl was walking home from school

d)

a roller coaster was going up and down the track as the ride continued

85.

a)

Function

b)

Not a Function

86.

For 1-6 Match the verbal description with the part of the graph it describes.
1. Stays the same.

a)

F

b)

A

c)

D

d)

C

87.

Describe the situation.

a)

The volume of the balloon increases at a constant rate, then stays constant, then increases, then constant, and increases at a constant rate.

b)

The volume of the balloon increase at a constant rate, decreases, then stays constant, then increases, then constant, and increases at a constant rate.

88.

Describe the situation.

a)

Sales decrease quickly at a constant rate, and then increase slowly at a constant rate.

b)

Sales stay constant, then decrease at a constant rate, and increase slowly.

89.

At 60 seconds, how far had this object traveled?

a)

0 m

b)

10 m

c)

20 m

d)

40 m

90.

According to the graph how far does the person travel in the first 5 seconds?

a)

2 m

b)

10 m

c)

0 m

d)

5 m

91.

Dave is hiking on a mountain. The graph shows his decent from the peak of the mountain. Which best describes his actions along B?

a)

Climbing down the mountain

b)

Climbing up the mountain

c)

Stopped for bird watching

d)

Base Jumping

8th Grade Practice questions for the midterm

Total questions: 91

Worksheet time: 4hrs 28mins

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