Free Printable Pre-Algebra Review

1.

In the expression x - 53 - 4x - w + 6x + 8 , -53 is a

a)

Coefficient

b)

Constant

c)

Variable

d)

None of these

2.

In the expression x - 53 - 4x - w + 6x + 8 , -4x is a

a)

Term

b)

Variable

c)

Coefficient

d)

Constant

3.

In the expression x - 53 - 4x - w + 6x + 8 , the variables are

a)

x, w, 8

b)

-53, 8

c)

x, w

d)

x, -4x, 6x, -w

4.

In the expression x - 53 - 4x - w + 6x + 8 , the constants are

a)

53, 8

b)

1,-4, -1, 6

c)

x, w

d)

-53, 8

5.

In the expression x - 53 - 4x - w + 6x + 8 , the coefficient on the term "x" is

a)

0

b)

There is no coefficient

c)

1

d)

-1

6.

In the expression x - 53 - 4x - w + 6x + 8 , list the coefficients on the "x" terms

a)

1, -4, -6

b)

-4, 6

c)

1, 4, 6

d)

1, -4, 6

7.

In the expression x - 53 - 4x - w + 6x + 8 , the coefficient on the "w" term is

a)

1

b)

there is no coefficient

c)

-1

d)

w

8.

In the expression x - 53 - 4x - w + 6x + 8 , combine the like "x" terms.

a)

3x

b)

2x

c)

-3x

d)

-2x

9.

In the expression x - 53 - 4x - w + 6x + 8 , combine the constants

a)

53

b)

-61

c)

-43

d)

-45

10.

In the expression x - 53 - 4x - w + 6x + 8 , combine all like terms & write the simplified expression.

a)

2x - w - 45

b)

3x - w - 45

c)

-41xw

d)

-41

11.

Identify the "like terms" in the expression:
2x + 4y - 3x + y - x

a)

2x and 4y and -3x

b)

2x and -3x and x
4y and y

c)

they are all like terms

d)

there are no like terms

12.

Are -c and 4c like terms?

a)

Yes

b)

No

13.

Are 3x and 3 like terms?

a)

Yes

b)

No

14.

Are x and y like terms?

a)

Yes

b)

No

15.

Are 7a and 4a like terms?

a)

Yes

b)

No

16.

Identify the like terms: 7y + 5r -4r + 2w +r

a)

7y and 2w

b)

5r ,-4r, and r

c)

5r and r

d)

none

17.

True or False:
y and 14 are like terms.

a)

True

b)

False

18.

True or False:
u³and u² are like terms.

a)

True

b)

False

19.

What are the like terms in the following expression?
4x² - 3x - 2x

a)

-3x, -2x

b)

3x, 2x

c)

-3x, 2x

d)

3x, -2x

20.

Are the following terms 'like' or 'unlike'....

3a

-7a

a)

Like

b)

Unlike

21.

Are the following terms 'like' or 'unlike'....

-5b

-12b

a)

Like

b)

Unlike

22.

Are the following terms 'like' or 'unlike'....

2h

-h

a)

Like

b)

Unlike

23.

Are the following terms 'like' or 'unlike'....

9

-4

a)

Like

b)

Unlike

24.

Are the following terms 'like' or 'unlike'....

4a²

-3a²

a)

Like

b)

Unlike

25.

Are the following terms 'like' or 'unlike'....

-c²

-2c²

a)

Like

b)

Unlike

26.

Are the following terms 'like' or 'unlike'....

6d²

5d²

a)

Like

b)

Unlike

27.

Are the following terms 'like' or 'unlike'....

-2

-9

a)

Like

b)

Unlike

28.

Are the following terms 'like' or 'unlike'....

3a

3

a)

Like

b)

Unlike

29.

Are the following terms 'like' or 'unlike'....

3a

-3b

a)

Like

b)

Unlike

30.

Are the following terms 'like' or 'unlike'....

7a

4c

a)

Like

b)

Unlike

31.

Are the following terms 'like' or 'unlike'....

4ab

-3ba

a)

Like

b)

Unlike

32.

Are the following terms 'like' or 'unlike'....

7a²

2a

a)

Like

b)

Unlike

33.

Are the following terms 'like' or 'unlike'....

-5b

-7b²

a)

Like

b)

Unlike

34.

Are the following terms 'like' or 'unlike'....

ab

-2ab

a)

Like

b)

Unlike

35.

Are the following terms 'like' or 'unlike'....

-10

10m

a)

Like

b)

Unlike

36.

Are the following terms 'like' or 'unlike'....

2ab

3ab²

a)

Like

b)

Unlike

37.

Are the following terms 'like' or 'unlike'....

5ab

3ac

a)

Like

b)

Unlike

38.

Select the term below that is a like term with xy.

a)

6x

b)

7xy

c)

3y

d)

3x²y²

39.

Select the terms below that is a like term with 2b.

a)

77ab

b)

7b

c)

5b²

d)

9b²

40.

Select the term below that is NOT like terms with a.

a)

5a

b)

2a

c)

8a

d)

7a²

41.

Which term is Not a like term with xy?

a)

xy

b)

5xy

c)

xy²

d)

92xy

42.

Which term below is a like term with 6a³b²?

a)

6a

b)

7a³b

c)

8ab²

d)

9a³b²

43.

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

a)

-9

b)

5

c)

x

d)

5x

44.

Which term is the constant?

5g³ + 2

a)

5

b)

g

c)

3

d)

2

45.

Why are 4x and 4x² not like terms?

a)

4x² has an exponent of 2

b)

There are like terms

46.

What are the two basic rules for solving algebraic equations?

SELECT ALL THAT APPLY

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation

47.

When multiplying or dividing, what happens when you have two negative signs?

a)

Your answer will be positive

b)

Your answer will be negative

48.

What do you call the number in front of a variable that is being multiplied?

a)

Constant

b)

Variable

c)

Coefficient

d)

Equation

49.

What is the difference between an algebraic expression and an equation?

a)

Algebraic expressions do not have variables, but equations do have variables

b)

Expressions and equations are not different

c)

Expressions do not have an equal sign and equations need to have an equal sign

d)

Expressions need to have an equal sign and equations do not have an equal sign

50.

Solve:

2x = -16

a)

-8

b)

$\frac{1}{8}$

c)

8

d)

$\frac{-1}{8}$

51.

When multiplying or dividing, what happens when you have one negative sign?

a)

Your answer will be positive

b)

Your answer will be negative

52.

Solve:

$\frac{x}{-4}$ = 9

a)

13

b)

36

c)

-36

d)

$\frac{-4}{9}$

53.

Solve:

y + 9 = -10

a)

1

b)

-1

c)

19

d)

-19

54.

Solve:

11 = x - 7

a)

4

b)

-4

c)

18

d)

-18

55.

Solve:

32 = -8a

a)

4

b)

-4

c)

40

d)

24

56.

3 = $\frac{c}{-11}$

a)

33

b)

14

c)

-33

d)

-14

57.

$Solve:\frac{1}{5}b\ =\ 5$

a)

-25

b)

1

c)

25

d)

-1

58.

Solve:

-6 = $\frac{2}{3}r$

a)

-4

b)

-9

c)

9

d)

4

59.

What do you call when you flip a fraction?

a)

Reapproval

b)

Recipient

c)

Reciprocity

d)

Reciprocal

60.

Solve the equation:
x - 4 = -3

a)

x = -7

b)

x = 1

c)

x = 12

d)

x = -12

61.

Solve the equation:
x - 3 = -12

a)

x = 9

b)

x = -15

c)

x = -9

d)

x = 15

62.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

63.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

64.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

65.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

66.

How would you solve this equation: 9x=153?

a)

multiply by 9 on both sides

b)

divide by 9 on both sides

c)

add 9 to both sides

d)

subtract 9 from both sides

67.

-16 + x = -15

a)

2

b)

0

c)

-1

d)

1

68.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

69.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

70.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

71.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

72.

x - (-1) = 11

a)

x = 10

b)

x = 12

c)

x = -10

d)

x = 11

73.

Martha baked cupcakes for 3 different classes. If each class needs 24 cupcakes which equation could be used to find x, the total number of cupcakes Martha will bake?

a)

3x=24

b)

x/3=24

c)

24x =3

d)

x/24 =3

74.

Solve the equation:
$\frac{x}{-2}=-4$

a)

22

b)

9

c)

8

d)

6

75.

Solve each equation:
$12=x-\left(-18\right)$

a)

6

b)

-6

c)

30

d)

-30

76.

Solve each equation:
$x+\left(-23\right)=-40$

a)

-17

b)

-63

c)

-2.3

d)

2.3

77.

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

a)

Inverse operations

b)

math

c)

variable

d)

PEMDAS

78.

-9 + (-5)

(a)

79.

3 + -7

(a)

80.

-15 - 9

(a)

81.

-4(5)

(a)

82.

(-25) ÷ (-5)

(a)

83.

64 ÷ (-8)

(a)

84.

-3(-4)

(a)

85.

1 - (-18)

(a)

86.

4(-6) - 3

(a)

87.

(-30) ÷ 3 + 5

(a)

88.

The record high January temperature for Houston, Texas is 88⁰ F. The record low January temperature is -5⁰ F. Find the difference between the high and low temperatures.

a)

-83⁰

b)

83⁰

c)

-93⁰

d)

93⁰

89.

Last week, you wrote 2 checks for $45 each from your checking account, withdrew another $30, and finally made a deposit of $20. What was the change in the balance of your account over the week?

a)

-100

b)

100

c)

-40

d)

40

90.

$-23+27$

(a)

91.

$8\times-3$

(a)

92.

$-19+6$

(a)

93.

$56\div-8$

(a)

94.

$12\times-4$

(a)

95.

$25-\left(-4\right)$

(a)

96.

$-27\div-27$

(a)

97.

$-12+\left(-11\right)$

(a)

98.

$-19-13$

(a)

99.

$-5\times-8$

(a)

100.

Boston has a temperature of -20 degrees. It is colder in New York than in Boston. Which value could represent the temperature in New York?

a)

$0\degree$

b)

$30\degree$

c)

$-30\degree$

d)

$-19\degree$

101.

Which situation could the integer -50 represent?

a)

a deposit of $50

b)

the temperature on a warm Spring day

c)

the distance driven on the way to the beach

d)

a decrease of 50 employees

102.

A climber is at an altitude of 533 feet. He descends until he reaches 10 feet below sea level. How many feet did the climber descend?

a)

523 feet

b)

543 feet

c)

0 feet

d)

500 feet

103.

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

a)

$-9+\left(-22\right)=-13$

b)

$9+\left(-22\right)=13$

c)

$9+\left(-22\right)=-13$

d)

$9+\left(-22\right)=-31$

104.

Jim's business had a profit of $290 in its first month, and a loss of $130 in its second month. Write a sum of integers to find the profit/loss after the first two months.

a)

$290+\left(-130\right)=160$ ; a profit of $160

b)

$290-130=160$ ; a loss of $160

c)

$-290+\left(-130\right)=-410$ ; a loss of $410

d)

$290-\left(-130\right)=410$ ; a profit of $410

105.

11+(-3)

(a)

106.

(4)(-7)

(a)

107.

(-40)÷4+11

(a)

108.

-20/5=

(a)

109.

-7(10)=

(a)

110.

Negative Integer • Negative Integer =

a)

Positive Integer

b)

Negative Integer

c)

It depends on which number has the largest absolute value.

111.

Negative Integer x Positive Integer =

a)

Positive Integer

b)

Negative Integer

c)

It depends on which number has the largest absolute value.

112.

-9 + (-5)

(a)

113.

-8 + 13

(a)

114.

3 + -7

(a)

115.

6 - 9 = ?

(a)

116.

-7 - 2

(a)

117.

(-2)-(-3)

(a)

118.

The record high temperature in January was 18 degrees. The record low temperature was - 7 degrees. What is the difference between the high and low temperatures?

a)

25 degrees

b)

11 degrees

c)

6 degrees

d)

- 11 degrees

119.

The football team gained 9 yards on their first play. On the next play they lost 17 yards. What was their position change?

a)

-8

b)

8

c)

26

d)

-26

120.

When adding integers with the SAME sign...

a)

The sign stays the same

b)

The sign becomes the opposite

c)

The sign becomes positive

d)

The sign becomes negative

121.

When adding integers with DIFFERENT signs...

a)

you take the sign of the smaller absolute value

b)

you take the sign of the larger absolute value

c)

the sign becomes positive

d)

the sign becomes negative

122.

What are the rules for subtracting integers?

a)

Change to multiplication and use the opposite of the second number.

b)

Change subtraction sign to addition and use the opposite of the second number.

c)

Find the opposite of both numbers and then add.

d)

Subtract like normal and keep the larger sign.

Pre-Algebra Review

Total questions: 122

Worksheet time: 10hrs 10mins

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