Free Printable Pre-Algebra Review

1.

Evaluate:

−18 + (−10)

a)

−28

b)

−8

c)

28

d)

8

2.

Evaluate:

42 + (−35)

a)

7

b)

−7

c)

77

d)

−77

3.

Evaluate:

−27 + (−19)

a)

−46

b)

−8

c)

46

d)

8

4.

Evaluate:

−19 + 14

a)

−5

b)

5

c)

−33

d)

33

5.

Evaluate:

56 + (−64)

a)

−8

b)

8

c)

−120

d)

120

6.

Evaluate:

18 − (−7)

a)

25

b)

11

c)

−25

d)

−11

7.

Evaluate:

−17 − 10

a)

−27

b)

−7

c)

27

d)

7

8.

Evaluate:

−28 − (−36)

a)

8

b)

−8

c)

64

d)

−64

9.

Evaluate:

46 − 50

a)

−4

b)

4

c)

96

d)

−96

10.

Evaluate:

−17 − (−15)

a)

−2

b)

2

c)

32

d)

−32

11.

Evaluate:
−5(11)

a)

−55

b)

55

c)

6

d)

−50

12.

Evaluate:

−7(−8)

a)

56

b)

54

c)

−56

d)

−54

13.

Evaluate:

9(−6)

a)

−54

b)

54

c)

−52

d)

52

14.

Evaluate:
−12(−11)

a)

132

b)

−132

c)

121

d)

−23

15.

Evaluate:

−27 ÷ (−9)

a)

3

b)

−3

c)

−36

d)

−18

16.

Evaluate:

−72 ÷ (−8)

a)

−9

b)

9

c)

−7

d)

7

17.

Evaluate:

−144 ÷ (12)

a)

12

b)

−12

c)

11

d)

−11

18.

Evaluate:

−30 ÷ 2

a)

−15

b)

15

c)

10

d)

−10

19.

Evaluate:

26 ÷ 2

a)

−13

b)

13

c)

52

d)

−52

20.

Evaluate:

−48 ÷ (6)

a)

6

b)

−6

c)

−8

d)

8

21.

$-20\div5=$

a)

—4

b)

4

c)

—100

d)

100

22.

$44\div\left(-4\right)=$

a)

11

b)

—176

c)

—11

d)

176

23.

$-30\div\left(-10\right)=$

a)

—300

b)

—3

c)

3

d)

300

24.

$\left(-3\right)^2$

a)

—6

b)

—9

c)

9

d)

6

25.

Flora made 3 withdrawals of $75 each from her bank account.
What was the overall change in her account?

a)

—$225

b)

$225

c)

—$25

d)

$25

26.

$5+\left(-7\right)$

a)

12

b)

—12

c)

—2

d)

2

27.

$2\ +\left(-4\right)$

a)

—2

b)

2

c)

6

d)

—6

28.

On Monday the temperature was -5 degrees in the morning. The temperature rose 14 degrees throughout the day. What was the final temperature?

a)

9

b)

19

c)

—19

d)

—9

29.

You owe the bank $30. You write a $20 check to pay for lunch. How much money do you have in your account now?

a)

$10

b)

—$10

c)

—$50

d)

$50

30.

A football team gained 7 yards on the first play, lost 14 yards on the second play, and gained 11 yards on the third play. How many yards have they moved from their starting spot?

a)

+4 yards

b)

—4 yards

c)

+32 yards

d)

+18 yards

31.

John said he had —$45 in his account on Monday and $55 on Tuesday. How much more money did John have on Tuesday than Monday?

a)

$100

b)

$10

c)

—$10

d)

—$100

32.

$6\ +\ \left(-4\right)$

a)

2

b)

—2

c)

10

d)

—10

33.

$-7+\left(-3\right)$

a)

4

b)

—4

c)

10

d)

—10

34.

$-5-3$

a)

8

b)

—8

c)

2

d)

—2

35.

$4-\left(-2\right)$

a)

6

b)

—6

c)

2

d)

—2

36.

$4\cdot\left(-8\right)$

a)

32

b)

—32

c)

2

d)

—2

37.

$-5\ \cdot\left(-1\right)$

a)

$5$

b)

$-5$

c)

$\frac{1}{5}$

d)

$-\frac{1}{5}$

38.

$-9\cdot3$

a)

27

b)

—27

c)

3

d)

—3

39.

$\frac{-18}{3}$

a)

$6$

b)

$-6$

c)

$\frac{1}{6}$

d)

$-\frac{1}{6}$

40.

$\frac{63}{-7}$

a)

$9$

b)

$-9$

c)

$\frac{1}{9}$

d)

$-\frac{1}{9}$

41.

The picture shows a set of blue stars, red circles, and green circles. What is the ratio of the number of blue stars to red circles?

a)

4 to 4

b)

4 to 7

c)

7 to 4

d)

4 to 15

42.

The ratio of boys to girls in the musical is 15 to 45. What is the ratio of girls to total students in the musical?

a)

15 to 60

b)

15 to 45

c)

45 to 60

d)

45 to 15

43.

There are 20 blue socks and 80 red socks in a drawer. What is the ratio of red socks to blue socks?

a)

20:80

b)

20:100

c)

80:100

d)

80:20

44.

Which represents the part of the 10-by-10 grid that is shaded?

a)

19%

b)

21%

c)

8%

d)

13%

45.

Which represents the part of the 10-by-10 grid that is shaded?

a)

65%

b)

76%

c)

57%

d)

63%

46.

Which represents the part of the 10-by-10 grid that is shaded?

a)

56%

b)

31%

c)

47%

d)

24%

47.

Which represents the part of the 10-by-10 grid that is shaded?

a)

92%

b)

84%

c)

76%

d)

87%

48.

Which represents the part of the 10-by-10 grid that is shaded?

a)

42%

b)

38%

c)

35%

d)

32%

49.

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

a)

2 to 5

b)

5 to 3

c)

3 to 5

d)

5 to 2

50.

Which represents the part of the 10-by-10 grid that is shaded?

a)

19/50

b)

39/100

c)

9/25

d)

23/40

51.

Jenny has 3 guitars. Steve has 4 guitars. If the ratio of guitars is 4:3, who is first in the ratio?

a)

Jenny

b)

Steve

c)

It doesn't matter

d)

Les Paul

52.

Which represents the part of the 10-by-10 grid that is shaded?

a)

26/250

b)

13/100

c)

6/50

d)

4/25

53.

Maria has 2 scarves, 27 headbands, and 3 bows. She wanted to know the ratio of scarves to bows. When she discovered the ratio, she made a list of equivalent ratios. Which below is the list?

a)

4:6, 8:12, and 16:24

b)

3:4,6:8,and 12:16

c)

2:27,4:54, and 8:108

54.

What is a Ratio?

a)

Is a comparison of two quantities

b)

To multiply two fractions

c)

A number over another number

d)

Two decimals that can be multiplied

55.

Which represents the part of the 10-by-10 grid that is shaded?

a)

17/20

b)

4/37

c)

14/50

d)

13/20

56.

If there are 5 soccer players, 10 baseball players, and 15 basketball players, what is the ratio of baseball players to soccer players?

a)

1 to 2

b)

1 to 3

c)

2 to 1

d)

3 to 1

57.

Which represents the part of the 10-by-10 grid that is shaded in SIMPLEST form?

a)

21/25

b)

84/100

c)

42/50

d)

7/8

58.

Tommy has a bag of LEGOS. There are 6 yellow, 3 red, and 8 blue LEGOS. What is the ratio in simplest form of red to yellow LEGOS?

a)

1/2

b)

6/3

c)

2/1

d)

3/6

59.

Which represents the part of the 10-by-10 grid that is shaded?

a)

23/50

b)

2/3

c)

47/100

d)

33/50

60.

What number is missing?

a)

12

b)

3

c)

11

d)

13

61.

Solve 4n - 2n = 4.

a)

2

b)

4

c)

6

d)

8

62.

Solve 2 + 5x + 2x = -12.

a)

$x\ =\ -2$

b)

$x\ =\ -\frac{10}{7}$

c)

$x\ =\ 2$

d)

$x\ =\ \frac{10}{7}$

63.

For which equation would you add 12 as the first step?

a)

$2\left(m\ -12\right)\ =\ 3$

b)

$14\ =\ \frac{x}{12}$

c)

$13\ =\ 5y\ -\ 12$

d)

$5x\ +\ 12\ =\ 7$

64.

Which of the following equations does not have x = 2 as a solution?

a)

$6\ =\ \frac{12}{x}$

b)

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

c)

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

d)

$3x\ -\ 2\ =\ -8$

65.

Solve 3 = x + 3 - 5x.

a)

x = -6

b)

x = 0

c)

x = -1

d)

x = 6

66.

What is the solution to the equation 3(2x - 5) = x + 10?

a)

9

b)

6

c)

8

d)

5

67.

You solve an equation and find that 7 = 9 in your final step. What does this mean?

a)

The equation has 1 solution.

b)

The equation has no solution.

c)

The equation has infinitely many solutions.

d)

The equation is an identity.

68.

Solve the equation -3(1 + 6x) = 14 - x.

a)

x = 1

b)

x = -1

c)

No solution

d)

All real numbers

69.

Write the phrase "the difference of 4 and a number" as a variable expression.

a)

x - 4

b)

4 - x

c)

x + 4

d)

4 + x

70.

Solve the equation 2(5x - 2) = 8x.

a)

-2

b)

1

c)

2

d)

-1

71.

What is the solution to the equation 3(5x + 4) - 20 = 13x - 4?

a)

2

b)

8

c)

-2

d)

4

72.

Write the following sentence as an equation: 7 less than twice a number is 17.

a)

7 - 2x = 17

b)

2(x - 7) = 17

c)

2x - 7 = 17

d)

2(7 - x) = 17

73.

Solve 2(y + 5) = 3(y - 8).

a)

-34

b)

14

c)

34

d)

-14

74.

Which of the following does not represent x - 5?

a)

The difference of a number and 5

b)

A number decreased by 5

c)

5 subtracted from a number

d)

A number less than 5

75.

Solve the equation $\frac{x}{3}-\ 4\ =\ 5$ .

a)

19

b)

27

c)

11

d)

15

76.

Solve 8(x − 6) = −(x + 3).

a)

5

b)

-5

c)

7

d)

-7

77.

Solve the equation $\frac{x\ +\ 3}{2}=\ -1$ .

a)

x = 1

b)

x = 4

c)

x = -8

d)

x = -5

78.

What is the solution to the equation 6x + 12 = 2x + 4(x + 3)?

a)

x = 2

b)

x = 0

c)

No solution

d)

All real numbers

79.

Which equation has a solution of y = -2?

a)

3y + 1 = 5

b)

2y - 5 = 1

c)

4y + 8 = -4

d)

y - 3 = -5

80.

If 3x - 1 = 11, find the value of 2x + 1.

a)

4

b)

5

c)

8

d)

9

81.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

82.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

83.

X+X+X+X+X

a)

X + 5

b)

5X

c)

X+X+X+X+X+5

d)

X to the 5th power

84.

a + a + a + a

a)

a + 4

b)

4a

c)

a to the fourth power

d)

4a + 4

85.

2r + 2 + 5r - 2 + r

a)

8r

b)

8r - 4

c)

12r

d)

7r + 4 + r

86.

y + x + y + y + x

a)

2 + 3

b)

x + y

c)

2x + 3y

d)

5xy

87.

6x + 1 + 7x

a)

13x - 1

b)

14x

c)

7x + 6x + 1

d)

13x + 1

88.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

89.

7(y+9)

a)

7+9

b)

7y+63

c)

-7y-63
-7y+63

d)

7x+63

90.

2(4X-7)

a)

8x-14

b)

8x-7

c)

6x+7

d)

8x+14

91.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

92.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

93.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

94.

-4x - 10x

a)

-14

b)

6x

c)

-6x

d)

-14x

95.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

96.

Identify Like Terms
4r+2-6+2r

a)

4r and 2r

b)

2 and 6

c)

4r and 2r,
2 and 6

d)

4r and 2r,
2 and -6

97.

Which answer choice contains ALL like terms?

a)

-4x, 2x, 3x

b)

-4x, 2, 3y

c)

4x², 2x

d)

14, 4x

98.

True or False:
u³and u² are like terms.

a)

True

b)

False

99.

Which one is the variable?
3w + 2w - (-7w)

a)

3

b)

2

c)

w

d)

12

100.

What is the coefficient in the following expression?
5x - 9

a)

-9

b)

5

c)

x

d)

5x

101.

In the following expression, how many terms are there?

5x³ - 7x + 11

a)

1

b)

2

c)

3

d)

4

102.

In the following expression, the number 11 is an example of a ____________?

5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

103.

In the following expression, the number 7 is an example of a ____________?

5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

104.

What are the like terms in the following expression?

7x + 8 - 6x² + 2x

a)

7 and 2

b)

7x, 8, 6x², 2x

c)

7x and 2x

d)

7x, 6x², 2x

105.

Simplify.

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

106.

Simplify.

7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

107.

Simplify.

4x² + 3x + 11 - 2x

a)

4x² + x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

108.

Simplify.

5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

109.

Simplify.

19 + (3 + 5b)

a)

22 + 5b

b)

19 + (3 + 5b)

c)

19 + 8b

d)

22 + 24b

110.

Simplify.

9a + 10(2a + 1)

a)

21a + 1

b)

9a +21

c)

29a +10

d)

39a

111.

Simplify.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

112.

What does it mean to solve an equation? Select the best definition.

a)

To find the answer.

b)

To simplify the equation.

c)

To find the value of the variable.

d)

To find the value of the variable that makes the equation true.

113.

2 (x + 4)

a)

2x + 4

b)

2x + 8

c)

2x + 6

d)

10x

114.

-3 (a + 3)

a)

3a - 9

b)

-3a + 9

c)

3a + 9

d)

-3a - 9

115.

(x + 10) (-2)

a)

-2x + 20

b)

-2x - 20

c)

2x - 20

d)

2x + 20

116.

3x (y + 4)

a)

3x3y + 4x

b)

3xy + 4x

c)

3xy + 12x

d)

3x + 3y + 12

117.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

118.

-10 (-3x - 5y)

a)

30x - 50y

b)

-30x - 50y

c)

80xy

d)

30x + 50y

119.

(-n + 3) (-8)

a)

n - 5

b)

n + 24

c)

8n - 24

d)

-8n - 24

120.

(b - 7) (-7)

a)

-7b + 49

b)

7b - 49

c)

b - 14

d)

-7b - 14

121.

$\frac{1}{2}(t+8)$

a)

$\frac{1t}{2t}+\frac{8}{2}$

b)

$\frac{1}{2}t+8$

c)

$\frac{1}{2}t+4$

d)

$\frac{1}{2}t+\frac{8}{16}$

122.

$-\frac{1}{3}\left(y\ -\ 9\right)$

a)

$\frac{1}{3}y+3$

b)

$-\frac{1}{3}y+3$

c)

$-\frac{1}{3}y-3$

d)

$-\frac{1}{3}y+9$

123.

0.5 (u - 6)

a)

0.5u + 6

b)

0.5u + 3

c)

0.5u - 6

d)

0.5u - 3

124.

(p - 12) (-0.25)

a)

-0.25p - 3

b)

0.25p + 3

c)

-0.25p + 3

d)

0.25p - 3

125.

3x (9 + 2y - 3z)

a)

27x + 6xy - 9xz

b)

24xyz

c)

27 + 6y - 9z

d)

27x + 6x - 9x

126.

9 (2x + 5x)

a)

90x

b)

18x + 45

c)

18 + 45x

d)

63x

127.

6x (x - 9)

a)

$6x^2\ -\ 54$

b)

$6x^2\ -\ 54x$

c)

$6x\ -\ 54x$

d)

$-48x$

Pre-Algebra Review

Total questions: 127

Worksheet time: 7hrs 26mins

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