Free Printable Expressions and Equations Review

1.

Factor to simplest form:

$24a+12b-30$

a)

$2\left(12a+6b-15\right)$

b)

$3\left(8a+4b-10\right)$

c)

$6\left(4a+2b-5\right)$

2.

Which of the following has a simplified value of 8x-4

a)

10x+6x-9-8

b)

2(3x-5)

c)

2(4x-2)

d)

-10x+2x-4-4

3.

If $b=10$ , find $\frac{40}{b}$ .

a)

10

b)

2

c)

30

d)

4

4.

If $h=7$ , find $h^2$

a)

14

b)

49

c)

72

d)

36

5.

If $j=4$ , find $2j+3$

a)

27

b)

11

c)

12

d)

9

6.

If $k=5$ , find $\frac{k+3}{4}$

a)

$\frac{53}{4}$

b)

$2$

c)

$4$

d)

$8$

7.

If $r=4,\ s=8$ , find $\frac{5r^2}{s}$

a)

6

b)

8

c)

10

d)

12

8.

If x = 5, y = 3 & z = 2, what is x + 2y + 3z

a)

15

b)

16

c)

17

d)

18

9.

Tell whether the number is a solution to the inequality:

a < 4; when a = 4

a)

IS a solution

b)

Is NOT a solution

10.

Tell whether the number is a solution to the inequality:

6 + w ≥ 12; when w = 5

a)

IS a solution

b)

Is NOT a solution

11.

Tell whether the number is a solution to the inequality:

a/4 < -4; when a = 20

a)

IS a solution

b)

Is NOT a solution

12.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

13.

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

14.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

15.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.
The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

16.

Solve the equation:
20.5 = x + 4

a)

16.5

b)

16.05

c)

24.5

d)

24.05

17.

Which equation has w = 8 as the solution?

a)

8w= 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

18.

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

19.

Twice a number is 24.

a)

2n = 24

b)

2/n = 24

c)

2 + n = 24

d)

2 - n = 24

20.

Solve the following equation
8 = m - 12

a)

4

b)

0.5

c)

5.0

d)

20

21.

Solve the following equation
2y = 18

a)

36

b)

16

c)

9

d)

20

22.

Solve the following equation
c / 4 = 4

a)

1/4

b)

8

c)

1

d)

16

23.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

24.

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

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

25.

Which of the following is used to solve single step equations mathematically?

a)

substitution

b)

inverse operations

c)

frequency

d)

data analysis

26.

Which of the following can always be used to check your solution to your equation?

a)

distributive property

b)

difference

c)

substitution

d)

mean

27.

When solving 234 + N =389, what operation would you use to find the answer

a)

multiplication

b)

addition

c)

subtraction

d)

division

28.

Translate:
Four times a number plus six IS 30.

a)

4 + 6 = 30

b)

4x + 6 = 30

c)

x + 4 times 6 = 30

d)

30 = 4x

29.

Sally had 10 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 73 peaches at the stand. Write an equation that could be used to find how many peaches she picked.

a)

x + 10 = 73

b)

73 + x = 10

c)

10x = 73

d)

x - 10 = 73

30.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

31.

Which choice models this situation?

Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

32.

Which choice describes the step needed to isolate the variable? (Tap outside of the gray box to see the equation.)

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

33.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

34.

a mathematical sentence stating that two expressions are equal

a)

term

b)

coefficient

c)

equation

d)

variable

35.

What is the definition of a variable?

a)

The letter used to represent a quantity

b)

The little number or letter used to raise to a power

c)

The number in front of a variable

d)

The number with no variable

36.

5 + 36 $\div$ 2 x 3 - 4

a)

7

b)

55

c)

12

37.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

38.

True or false:
Addition ALWAYS comes before subtraction.

a)

True

b)

False

39.

Solve: 3⁴

a)

12

b)

9

c)

81

d)

28

40.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

41.

A constant term has ______.

a)

no exponents

b)

no variables

c)

no numbers

d)

no letters

42.

A coefficient is __________.

a)

the variable

b)

a constant

c)

an exponent

d)

the number that comes before the variable

43.

What is the coefficient here?
17u + 8

a)

17

b)

8

c)

17u

d)

-8

44.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

Expressions and Equations Review

Total questions: 44

Worksheet time: 44mins

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