Free Printable Pre-Algebra Midterm Quiz

1.

How many quarts are in a liter?

a)

2

b)

3

c)

4

d)

5

2.

Solve for "x" ?
x-9=15

a)

23

b)

6

c)

24

d)

11

3.

Solve for "x" ?
x-12=14

a)

24

b)

26

c)

2

d)

16

4.

What is the area of the rectangle?

a)

15 sq cm

b)

15 cm

c)

2

d)

16 cm

5.

Ms. Guerra's jeep weighs 1.5 tons. What is the weight of her car in pounds?

a)

2,000 pounds

b)

2,500 pounds

c)

3,000 pounds

d)

4,000 pounds

6.

Chisom made 36 pints of lemonade for a class party. How many gallons of lemonade did she make?

a)

9

b)

6

c)

4 1/2

d)

2 1/2

7.

24 lb ___ 124 oz

a)

<

b)

>

c)

=

8.

32qt = _______ cups

a)

128 cups

b)

64 cups

c)

4 cups

d)

8 cups

9.

7c = _______ fl. oz

a)

42 fl. oz

b)

28 fl oz

c)

56 fl. oz

d)

112 fl. oz

10.

$-6x-3>10$

x = ?

a)

-13/6

b)

2

c)

-2

d)

13/6

11.

28 cups= ______ quarts

a)

56 quarts

b)

14 quarts

c)

112 quarts

d)

7 quarts

12.

Which one is the variable?
2d - 6

a)

2d

b)

2

c)

d

d)

6

13.

Which one is the coefficient?
10y + 4

a)

y

b)

10

c)

4

d)

10 and 4

14.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

15.

This property says that
a(b + c) = ab + ac

a)

Distributive Property

b)

Commutative Property

c)

Associate Property

d)

Evaluate

16.

Identify whether the equation has one solution, no solution, or an infinite number of solutions.

a)

one solution

b)

no solutions

c)

infinite solutions

d)

this is not an equation

17.

Write 8,700 in scientific notation

a)

8.7 ⋅ 10²

b)

87 ⋅ 10²

c)

8.7 ⋅ 10³

d)

8.7 ⋅ 10⁴

18.

7.82 x 10^-⁶ is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

a)

Large

b)

Small

c)

Basic

19.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

20.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

21.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

22.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

23.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

24.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

25.

Which graph matches the inequality
2.5 ≤ x?

a)

A

b)

B

c)

C

d)

D

26.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

27.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

28.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

29.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

30.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

31.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

32.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

33.

What are two numbers that could be x in x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

34.

Would you use a closed or open circle to graph
x < 3?

a)

Closed

b)

Open

35.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

36.

Which graph matches the inequality
k < 3?

a)

A

b)

B

c)

C

d)

D

37.

Which graph matches the inequality
2 > p?

a)

A

b)

B

c)

C

d)

D

38.

Which graph matches the inequality
-2 ≥ n?

a)

A

b)

B

c)

C

d)

D

39.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

40.

Which graph matches the inequality
2.5 ≤ x?

a)

A

b)

B

c)

C

d)

D

41.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

42.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

43.

(3c²)(10c⁷)

a)

13c⁹

b)

30c⁵

c)

30c⁹

d)

-30c⁹

44.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

45.

25x⁵/5x³

a)

5x

b)

5x⁸

c)

-5x²

d)

5x²

46.

What is the answer to 10b/2b?

a)

5b

b)

4

c)

5

d)

4b

47.

a)

8x⁴

b)

8x⁸

c)

6x⁴

d)

6x⁸

48.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

49.

2n⁴ * 5n⁴

a)

7n⁴

b)

10n¹⁶

c)

10n⁸

d)

none of the above

50.

Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x

a)

x⁶

b)

6x

c)

x³

d)

6x⁶

51.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

52.

Simplify
x³⋅x⁶

a)

x⁹

b)

x¹⁸

c)

x¹

d)

x²

53.

5x(2x + 3)

a)

10x²+ 15x

b)

7x + 15x

c)

7x² + 8x

d)

25x²

54.

Classify the polynomial and give the degree:
4x² + 2x - 1

a)

Binomial, 3

b)

Binomial, 2

c)

Trinomial, 3

d)

Trinomial, 2

55.

2(2x + 1) + 8x - 3

a)

12x -1

b)

12x - 5

c)

12x + 1

d)

12x + 6

56.

(x+3)(x+1)

a)

x²+3x+3

b)

2x+4x+3

c)

x²+4x+3

d)

5x + 3

57.

2(2x + 3) + 5

a)

4x + 6x + 10

b)

4x + 10

c)

4x + 11

d)

4x + 16

58.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

59.

(3x² + 4x - 2) - (5x + 7)

a)

3x² - x - 9

b)

2x² - 9

c)

3x² + 9x - 5

d)

3x² - x + 5

60.

What is the Area?

a)

2x² - 3x - 18 inches²

b)

2x² + 3x + 18 inches²

c)

2x² + 9x - 18 inches²

d)

2x² - 9x - 18 inches²

61.

$\sqrt{16}=?$

a)

8

b)

2

c)

4

d)

32

62.

$9^2=18$ True or false?

a)

True

b)

False

63.

$-\sqrt{144}$

a)

12

b)

-12

c)

-72

d)

none of the above (imaginary number)

64.

$\sqrt{-144}$

a)

12

b)

-12

c)

72

d)

none of the above (imaginary number)

65.

$3_{\sqrt{8}}$ (cube root of 8)

a)

2

b)

$\pm2$

c)

-2

d)

None of the above

66.

$3_{\sqrt{-1}}$ (cube root of -1)

a)

$\pm1$

b)

1

c)

-1

d)

none of the above (imaginary number)

67.

The area of a square painting is 81 $cm^2$ . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

68.

$-6^2$ = ?

a)

36

b)

-36

c)

12

d)

-12

69.

$\left(-6\right)^2$ = ?

a)

12

b)

-12

c)

-36

d)

36

70.

$\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?$

a)

$\frac{8}{27}$

b)

$\frac{8}{9}$

c)

$\frac{4}{9}$

d)

$\frac{4}{3}$

71.

Solve for p when $p^2=100$

a)

$\pm10$

b)

10

c)

$\pm1,000$

d)

1,000

72.

Solve for x when $x^3=\frac{1}{8}$

a)

2

b)

$\frac{1}{64}$

c)

$\frac{1}{3}$

d)

$\frac{1}{2}$

73.

Write an equation for the phrase "Two cubed is equal to the square root of x".

a)

$4=\sqrt{16}$

b)

$2^2=\sqrt{x}$

c)

$2^{3\ }=\sqrt{x}$

d)

$\sqrt{x}=2$

74.

A cube with side length s has a volume of 64 cubic units. What is the length of one side?

a)

4

b)

8

c)

16

d)

32

75.

Select the set with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 81, 100

c)

9, 50, 75, 81, 100

d)

9, 81, 100

76.

Which of the following is irrational?

a)

$\sqrt{49}$

b)

$\sqrt{50}$

c)

$\sqrt{81}$

d)

$\sqrt{121}$

77.

What is the absolute value of $\left|-6\right|$ ?

a)

6

b)

-6

c)

0

78.

Absolute value is a numbers ____________ from zero.

a)

range

b)

distance

c)

opposite

d)

square

79.

What integer represents the following situation:

Dak Prescott threw a pass to Jason Witten for a 25 yard gain.

a)

-25

b)

25

80.

What is the opposite of 65?

a)

0

b)

65

c)

-65

d)

65 doesn't have an opposite

81.

What situation defines the following integer:

-15

a)

Jake Fromm threw a touch down pass for 15 yards.

b)

Bryan Edwards ran for a 15 yard gain.

c)

Ezekiel Elliot rushed the ball 15 yards.

d)

Demarcus Lawrence sacked Ben Roethlisberger for a loss of 15 yards.

82.

What is the distance between 4 and -6 on a number line?

a)

-10

b)

-2

c)

10

d)

2

83.

What is the absolute value of $-\left|14\right|$ ?

a)

-14

b)

14

c)

This cannot be solved.

84.

On a horizontal number line, positive integers are to the ________ of zero.

a)

Left

b)

Right

c)

Top

d)

Bottom

85.

Order the following Integers from least to greatest.

-9, 6, 12, -19, 15, 0, -8, 7

a)

-19, -8, -9, 6, 7, 12, 15, 0

b)

0, -8, -9, -19, 6, 7, 12, 15

c)

-19, -9, -8, 0, 6, 7, 12, 15

d)

-8, -9, -19, 0, 6, 7, 12, 15

86.

Compare. >, <, =.

-4 ______ -16

a)

=

b)

>

c)

<

87.

Compare. >, <, =

$\left|196\right|$ ______ $\left|-196\right|$

a)

>

b)

<

c)

=

88.

What is the opposite of 0?

a)

-0

b)

0

c)

Zero doesn't have an opposite.

89.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

90.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

91.

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

a)

4

b)

3

c)

2

d)

1

92.

2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

93.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

94.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

95.

Solve for x.

a)

55

b)

60

c)

15

d)

35

96.

What is the solution?

a)

x = 4

b)

x = 6

c)

x = 96

d)

x = 144

97.

Solve the equation:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

98.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

99.

5(x - 3) + 2x = 27

a)

x = 3

b)

x = 42/15

c)

x = 30/7

d)

x = 6

100.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

101.

12+5w-4w=15

a)

w=1

b)

w=3

c)

w=5

d)

w=4

102.

3(x-6)+2x=22

a)

x=8

b)

x=2

c)

x=18

d)

x=3

103.

10 + 2x = 16

a)

2

b)

3

c)

4

d)

1

104.

Solve: -1/3(x+6)=19

a)

63

b)

-7

c)

-63

d)

14

105.

a)

6/10

b)

1

c)

0

d)

9/25

106.

a)

1/7

b)

47/36

c)

7

d)

23

107.

a)

4 ¾

b)

3 ⅓

c)

5 ⅜

d)

3 ⅙

108.

a)

30

b)

43

c)

46

d)

54

109.

-3/4 x + 1/2 = 3/8

a)

x = -1/6

b)

x = 3/32

c)

x = 1/6

d)

x = -3/32

110.

a)

x= 9 1/3

b)

x = 21/4

c)

x = 5 1/4

d)

None of the above

111.

³/₄(6x + 2) = 15

a)

3

b)

6

c)

18

d)

20

112.

Solve for m: 3/4(m-4)=9

a)

16

b)

-12

c)

-18

d)

24

113.

a)

7

b)

-16

c)

4

d)

-15

114.

a)

19

b)

-9

c)

-100

d)

-50

115.

a)

-14/9

b)

-9/14

c)

-21/6

d)

6/21

116.

Clear the equation to solve.

a)

1

b)

2

c)

4.67

d)

12

117.

a)

-49

b)

153/5

c)

49

d)

85

118.

a)

-11

b)

11

c)

0

d)

10

119.

a)

24

b)

-4

c)

33

d)

15

120.

⅜x + ½ = ¾

a)

2/3

b)

3/2

c)

1

d)

-3

121.

Solve.
1/3x + 4 = -10

a)

1/42

b)

-42

c)

42

d)

-1/42

122.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

123.

a)

b)

c)

124.

includes integers, fractions, terminating and repeating decimals.

a)

Rational Numbers

b)

Irrational Numbers

125.

.141414141414...

a)

Rational

b)

Irrational

126.

pi - 3.141592....

a)

Rational

b)

Irrational

127.

√2

a)

Rational

b)

Irrational

128.

√7

a)

Rational

b)

Irrational

129.

√25

a)

Rational

b)

Irrational

130.

a)

D, C, A, B

b)

D, A, B, C

c)

D, B, C, A

d)

A, C, B, D

131.

What is the exponent form for the factors
5 x 5 x 5?

a)

3⁵

b)

5³

132.

a)

M

b)

N

c)

O

d)

P

133.

a)

7 and 8

b)

8 and 9

c)

17 and 18

d)

35 and 36

134.

a)

F

b)

G

c)

H

d)

J

135.

Which number is between 7 and 8?

a)

√7

b)

√42

c)

√59

d)

√68

136.

Put in order of least to greatest.
√5, 3, 2½, √8

a)

3, 2½, √8, √5

b)

2½, 3, √5, √8

c)

√5, 3, 2½, √8

d)

√5, 2½, √8, 3

137.

4π

a)

rational

b)

irrational

138.

-√4

a)

rational
irrational

b)

rational

Pre-Algebra Midterm Quiz

Total questions: 138

Worksheet time: 35hrs 30mins

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