Free Printable Pre-Algebra Skills

1.

A submarine at -32 feet dives down 18 feet. After the dive, what will be the submarines elevation?

a)

14

b)

-14

c)

-50

d)

50

2.

A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.

a)

-9 + (-22) = -13

b)

9 + (-22) = 13

c)

9 + (-22) = -13

d)

none

3.

Which expression DOES NOT have a product of −18?

a)

−2 ∗ −9

b)

−6 ∗ 3

c)

−3 ∗ 6

d)

−9 ∗ 2

4.

Going left on the number line means what?

a)

Negative

b)

Positive

5.

Write 0.17 as a percent.

a)

1.7%

b)

17%

c)

.0017%

d)

170%

6.

Write 3/5 as a percent.

a)

3%

b)

30%

c)

5%

d)

60%

7.

Solve the following:

-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

1/4

d)

-50

8.

Solve the following:

-8 + (15 - 3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

9.

What would be the 2nd step in solving this problem:
(4 - 2) + 9 x 7

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

10.

What operation do you perform first?

7 - (2 + 3) ÷ 5?

a)

Subtraction

b)

Addition

c)

Division

d)

Multiplication

11.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

12.

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

13.

When multiplying or dividing a NEGATIVE number and a NEGATIVE number, your result will be...

a)

Negative

b)

Positive

c)

The sign of the larger absolute value

d)

The sign of the smaller absolute value

14.

-19 - 4

a)

-15

b)

15

c)

-23

d)

23

15.

-8 - (-4) =

a)

12

b)

-12

c)

4

d)

-4

16.

87, -9, -14, 34, -147, -107

Which integer in the list has the greatest value?

a)

87

b)

-147

c)

-107

d)

34

17.

87, -9, -14, 34, -147, -107, 0
Which integer in the list has the smallest value?

a)

0

b)

87

c)

-107

d)

-147

18.

Jose earned 50 points in a video game. He lost 40 points, earned 87 points, then lost 30 more points. What is his final score?

a)

67

b)

57

c)

33

d)

207

19.

(-2)(-3)(-4)

a)

20

b)

-20

c)

24

d)

-24

20.

7 + (12-3)²

a)

256

b)

88

c)

10

d)

13

21.

Simplify the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

22.

Solve the following:
(7 + 41) ÷ 2 – 15

a)

19

b)

9

c)

25

d)

3

23.

What is the 1st step to simplifying the expression?
(Hint: Use order of operations.)

3\left(5\right)^2+4\ -\ 5

a)

Multiply 3 & 5

b)

Multiply 5 & 2

c)

Square 5

d)

Subtract 5 from 4

24.

What are the coordinates of point H?

a)

(-4, 2)

b)

(4, -2)

c)

(-2, 4)

d)

(4, 4)

25.

What is the ordered pair for point K?

a)

(-3, -3)

b)

(3, -3)

c)

(-4, -4)

d)

(5, 8)

26.

What is the ordered pair for point E?

a)

(3, 0)

b)

(0,4)

c)

(0, -3)

d)

(-3, 0)

27.

What is a quadrant?

a)

The point where the y and x axis intersect

b)

The four regions of a coordinate plane

c)

a point on the y-axis

d)

a point on the x-axis

28.

What quadrant would I expect to find point B?

a)

4

b)

3

c)

2

d)

x-axis

29.

In what axis or quadrant would I expect to find point F?

a)

y-axis

b)

1

c)

x-axis

d)

4

30.

What is the origin?

a)

The point furthest away from the center of the coordinate plane

b)

The four regions of a coordinate plane

c)

the x-axis

d)

Where the x-axis and y-axis intersect

31.

Which quadrant or axis would I find point A?

a)

x-axis

b)

y-axis

c)

quadrant 1

d)

quadrant 2

32.

What is the ordered pair of point L?

a)

(4, 4)

b)

(4, 2)

c)

(-4, -4)

d)

(2, -4)

33.

What is an ordered pair?

a)

a set of numbers used to locate a point on the coordinate plane

b)

the vertical number line

c)

a number that corresponds to a number on the y-axis

d)

a point where the numbers intersect

34.

The vertical number line is called the __________?

a)

x-coordinate

b)

x-axis

c)

y-axis

d)

y-coordinate

35.

The horizontal number line is called the _____________?

a)

y-axis

b)

y-coordinate

c)

x-axis

d)

x-coordinate

36.

What is the ordered pair for point C?

a)

(2, -4)

b)

(2, 4)

c)

(4, 2)

d)

(4, -2)

37.

Coordinate points (-1, 1) would lead me to which plot point?

a)

H

b)

G

c)

A

d)

J

38.

Ordered pair (3, 0) would lead me to which point?

a)

G

b)

E

c)

F

d)

A

39.

In an ordered pair ( __ , __) which axis comes first?

a)

y

b)

x

40.

Ordered pair (-4, -4) would lead you to which plot point?

a)

H

b)

L

c)

I

d)

K

41.

Ordered pair (-4, -4) would lead you to which plot point?

a)

H

b)

L

c)

I

d)

K

42.

Ordered pair (-4, -4) would lead you to which plot point?

a)

H

b)

L

c)

I

d)

K

43.

8 times a number x is subtracted by 4

a)

$8x-4$

b)

$4-8x$

c)

$4x-8$

d)

$8-4x$

44.

Which of the following show multiplication? Check all that apply

a)

$4\cdot x$

b)

$4\left(x\right)$

c)

$4\times x$

d)

$4x$

45.

3 times the sum of a number x and 7

a)

$3x+7$

b)

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

c)

$3\left(7x\right)$

d)

$\left(3+x\right)\times7$

46.

Which property is this an example of?
6 x 7 = 7 x 6

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Inverse Property of Multiplication

d)

Distributive Property

47.

Rewrite (9 x 6) x 5 using the associative property.

a)

270

b)

9 x 30

c)

9 x (6 x 5)

d)

5 x 9 + 5 x 6

48.

Which of these illustrates the zero property of multiplication?

a)

4 x (5 x 6) = (4 x 5) x 6

b)

6 (9 + 1) = (6 x 9) + (6 x 1)

c)

4 x (56) = (45) x 6

d)

5 x 0 = 0

49.

Which property is this an example of?
9 x 1 = 9

a)

Identity Property of Multiplication

b)

Commutative Property of Multiplication

c)

Associative Property of Multiplication

d)

Multiplicative Inverse

50.

The _______________ property of addition states that any number plus zero equals the other number.

a)

identity

b)

commutative

c)

associative

d)

Inverse

51.

4 + 3 + (2 + 5) = 4 + (3 + 2) + 5

a)

Commutative Addition

b)

Associative Addition

c)

Commutative Multplication

d)

Associative Multiplication

52.

3 + (12 + 8) = 3 + (8 + 12)

a)

Associative Addition

b)

Associative Multiplication

c)

Commutative Addition

d)

Commutative Multiplication

53.

This property tells us that when we change the order of numbers when we are adding, the answer does not change.

a)

Commutative Addition

b)

Commutative Multiplication

c)

Associative Addition

d)

Associative Multiplication

54.

3(w + 4) = 3w + 12 is an example of...

a)

Inverse Property

b)

Distributive Property

c)

Multiplicative Inverse

d)

Associative Property

55.

What property is this?
-5 + 5 = 0

a)

Inverse of +

b)

Inverse of x

c)

Inverse of the Universe

d)

Zero

56.

If the property is Identity of Addition what is the answer to this equation?
0 + 5 =______

a)

2

b)

3

c)

55

d)

5

57.

3(10 + 4) = 30 + 12 is an example of...

a)

Inverse Property

b)

Distributive Property

c)

Multiplicative Inverse

d)

Associative Property

58.

Name the property.
2x + 22 = 2(x + 11)

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Identity Property

59.

25 + x = x + 25

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Associative Property of Multiplication

d)

Associative Property of Addition

60.

9 + 0 = 9

a)

Identity Property of Multiplication

b)

Associative Property of Addition

c)

Identity Property of Addition

d)

Additive Inverse Property

61.

When solving this problem: 2 ⋅ (5 ⋅ 29), Abe instead started by solving 2⋅5 first, like so: (2 ⋅ 5) ⋅ 29. Which property says that you can do this?

a)

Commutative Property of Addition

b)

Associative Property of Multiplication

c)

Associative Property of Addition

d)

Commutative Property of Multiplication

62.

Which property:
⅘ + (-⅘) = 0

a)

Identity Property of Addition

b)

Inverse Property of Addition

c)

Multiplicative Property of 0

d)

Inverse Property of Multiplication

63.

Which property:
⅘ + (-⅘) = 0

a)

Identity Property of Addition

b)

Inverse Property of Addition

c)

Multiplicative Property of 0

d)

Inverse Property of Multiplication

64.

3 x ⅓ = 1

a)

Identity Property of Multiplication

b)

Zero Property

c)

Additive Inverse Property

d)

Multiplicative Inverse Property

65.

(1/9)(9) = 1

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Multiplicative Identity Property

d)

Multiplicative Inverse Property

66.

What property is being shown below?

3(4+5)+7 = (3*4)+(3*5)+7

a)

Commutative Property of Multiplication

b)

Associative Property of Addition

c)

Distributive Property

d)

Zero Property of Multiplication

67.

5m + 9n if m = -7 and n = 4

a)

71

b)

1

c)

-1

d)

-71

68.

Eighteen less than a number

a)

x - 18

b)

18 - x

c)

x ÷ 18

d)

x + 18

69.

triple a number

a)

x + 3

b)

x - 3

c)

3x

d)

3 ÷ x

70.

29 - 1 + 6²

a)

40

b)

66

c)

64

d)

42

71.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

72.

2x + 5(y - 1) when x=8 and y=5

a)

20

b)

31

c)

36

d)

-4

73.

3(2x + z) when x=8 and z=2

a)

12

b)

30

c)

54

d)

60

74.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

75.

Evaluate if a = 2 and b = 8
6 + 7b - 3a

a)

-100

b)

100

c)

-56

d)

56

76.

a)

4/5

b)

4/10

c)

2/5

d)

5

77.

What is the sum of the following equation:

2/8 + 4/8 =

a)

6/16

b)

2/8

c)

6/8

d)

2/16

78.

What is 2/8 + 3/8 = ?

a)

b)

c)

79.

Simplify the fraction to lowest terms:
4/12

a)

2/6

b)

1/3

c)

1/6

d)

1/4

80.

How do you add two fractions with like denominators?

a)

Add the denominators; keep the numerators the same

b)

Add the numerators and add the denominators

c)

Add the numerators to the denominators

d)

Add the numerators and keep the like denominators

81.

To add or subtract, two fractions must have...

a)

a monkey.

b)

unlike terms.

c)

common denominators.

d)

the same numerators.

82.

To find the sum, you need to...

a)

add

b)

subtract

c)

multiply

d)

divide

83.

If I want to add pineapple to $\frac{6}{12}$ of my pizza, that is equal to...

a)

$\frac{1}{6}$ .

b)

$\frac{3}{4}$ .

c)

$\frac{2}{1}$ .

d)

$\frac{1}{2}$ .

84.

Evaluate the expression: $\frac{2}{3}+\frac{1}{6}$

a)

1

b)

$\frac{5}{6}$

c)

$\frac{7}{8}$

d)

$\frac{3}{3}$

85.

Find the difference: $\frac{5}{9}-\frac{3}{9}$

a)

one ninth

b)

two ninths

c)

8 ninths

d)

3 ninths

86.

$\frac{4}{7}+\frac{1}{3}=$

a)

$\frac{17}{21}$

b)

$\frac{19}{21}$

c)

$\frac{5}{10}$

d)

$\frac{5}{21}$

87.

Find the product.

a)

9/24

b)

9/28

c)

6/32

d)

12/21

88.

Find the product.

a)

3/50

b)

3/5

c)

6

d)

1 1/5

89.

Joan's garden is 3/5 units wide and 2/4 units long. What is the area of Joan's garden?

a)

6/20

b)

16/20

c)

8/20

d)

12/10

90.

2 ÷ 1∕4 =

a)

1/8

b)

8

c)

12

d)

1/12

91.

Anthony has 3 pies that he is going to share equally among 5 friends. How much pie will each friend receive?

a)

1/15

b)

15

c)

5/3

d)

3/5

92.

What is 1/5 divided by 5?

a)

1/25

b)

1/15

c)

25

d)

15

93.

Find the product.

a)

2/14

b)

1/49

c)

2/7

d)

1/14

94.

6 ÷ 1/ 3 =

a)

6/3

b)

18/1

95.

What would be the best first step to solving the equation?
-3=x+5

a)

add 3 to both sides

b)

subtract 5 from both sides

c)

add 5 to both sides

d)

subtract -5 from both sides

96.

What would be the best first step to solving the equation?

a)

multiply both sides by 3

b)

multiply both sides by 4

c)

divide both sides by 3

d)

divide both sides by 4

97.

What would be the best first step to solving the equation?
-6x=-24

a)

multiply both sides by -6

b)

divide both sides by -6

c)

add 6 to both sides

d)

subtract -6 from both sides

98.

What would be the best first step to solving the equation?
-18=m+12

a)

add 18 to both sides

b)

subtract 18 from both sides

c)

add 12 to both sides

d)

subtract 12 from both sides

99.

What would be the best first step to solving the equation?

a)

multiply both sides by 10

b)

divide both sides by 10

c)

multiply both sides by 5

d)

divide both sides by 5

100.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

101.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

102.

Solve 3x - 7 = 32

a)

13

b)

3

c)

12

d)

7

103.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

104.

What is the inverse operation needed to solve for p?

2p - 254= 900

a)

subtraction

b)

addition

c)

multiplication

d)

division

105.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

7x+ 10=24

d)

10+x=14

106.

a)

27

b)

12

c)

1.333

d)

3.67

107.

Solve the proportion:

a)

15

b)

5

c)

10

d)

12

108.

What inequality does the number line graph represent

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

109.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

110.

When graphing b< 6 would you use an open or closed circle?

a)

Open

b)

closed

111.

Will my circle be colored in?
5 ≥ x

a)

Yes

b)

No

112.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

113.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

114.

Which graph matches the inequality
-2 ≥ n?

a)

A

b)

B

c)

C

d)

D

115.

_{What is the y-intercept of the line?}

a)

(-1,0)

b)

(-1,-3)

c)

(1,1)

d)

(0-1)

116.

^{What is the x- intercept of the line?}

a)

(0,-1)

b)

(-2,0)

c)

(-1,0)

d)

(0,-2)

117.

Give the y-intercept

a)

(2,0)

b)

(0,2)

c)

(0,-2)

d)

there is no y-intercept

118.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

119.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

120.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

121.

(3x)⁰

a)

(3x)¹

b)

0¹

c)

1

d)

3x

122.

Simplify: $x^3\cdot x^7$

a)

$x^{21}$

b)

$x^4$

c)

$x^{10}$

d)

$x^{-4}$

123.

$y^3\ =$

a)

3 x 3 x 3

b)

(y) (y) (y)

c)

(3y) (3y)

d)

3y

124.

5^{4 =}

a)

4 x 4 x 4 x 4 x 4

b)

5 x 4

c)

5 x 5 x 5 x 5

d)

5 x 5 x 5 x 5 x 5

125.

Simplify the expression.

a)

7⁶

b)

$7^{\ ^{-5}}$

c)

$\frac{1}{7^5}$

d)

7⁵

126.

What is the perimeter?

a)

15

b)

10

c)

3

127.

What is the perimeter?

a)

20

b)

40

c)

60

128.

Find the AREA of this figure.

a)

160 square feet

b)

160 feet

c)

abcdefghijklmnopqr
stuvwxyz

d)

1600 feet

129.

Area of triangle?

a)

17 units²

b)

20 units²

c)

10 units²

d)

16 units²

130.

Find the area.

a)

88 inches²

b)

60 inches

c)

88 inches

d)

60 inches²

Pre-Algebra Skills

Total questions: 130

Worksheet time: 5hrs 14mins

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