Free Printable Two-Step Equations

Free Printable Worksheets

Worksheets

Two-Step Equations

Total questions: 43

Worksheet time: 2hrs 9mins

Name

Class

Date

1.

$13\ =s-21$

What is s?

a)

s = 34

b)

s = -8

c)

$s=\frac{13}{21}$

d)

s = 0

2.

$4z=36$

What should you do first to figure out what "z" is?

a)

Subtract 4 from both sides.

b)

Divide both sides by 4.

c)

Multiply both sides by 4.

d)

Add -36 to both sides.

3.

$5+w=17$

What is w?

a)

w = 17

b)

w = 22

c)

w = 5-17

d)

w = 12

4.

$\frac{x-7}{4}=-2$

What steps would solve this equation?

a)

Multiply both sides by 4, then add 7 to both sides.

b)

Divide both sides by -2, then add 7 to both sides.

c)

Add 7 to both sides then multiply both sides by 4.

d)

Divide both sides by 4 then subtract 7 from both sides.

5.

$9=\frac{r}{8}$

What is r?

a)

$r=\frac{9}{8}$

b)

$r=\frac{1}{64}$

c)

r = 72

d)

9r = 8

6.

$9-2x=35$

What is x?

a)

x=22

b)

x=-13

c)

$x=\frac{35}{9}$

d)

x=-4

7.

$19=t+2$

What is a good first step to solve this equation?

a)

Subtract 2 from both sides.

b)

Add 2 to both sides.

c)

Subtract 19 from both sides

d)

Add 19 to both sides.

8.

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

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

9.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

10.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

11.

Solve 9 + 3x = 10

a)

2/3

b)

1/3

c)

-1/3

d)

4

12.

What is the inverse operation of multiplication?

a)

addition

b)

division

c)

subtraction

d)

raspberry

13.

What is the inverse operation of division?

a)

hula hoop

b)

addition

c)

subtraction

d)

multiplication

14.

What is the inverse operation of subtraction?

a)

Omari

b)

multiplication

c)

addition

d)

division

15.

What is the inverse operation of addition?

a)

subtraction

b)

addition

c)

multiplication

d)

division

16.

What is the first step to solve this equation?

$-2y+8=-16$

a)

Subtract 8 from both sides

b)

Add 2 to both sides

c)

Divide both sides by -2

d)

Add 16 to both sides

17.

What is the first step to solve this equation?

$\frac{n}{3}-11=-4$

a)

Add 11 to both sides

b)

Multiply both sides by 3

c)

Add 4 to both sides

d)

Subtract 3 from both sides

18.

Solve this equation: Answer as a number only (no variable or =)

$x+7=-11$

(a)

19.

Solve this equation: Answer as a number only (no variable or =)

$y\ -\ 12\ =\ -20$

(a)

20.

Solve this equation: Answer as a number only (no variable or =)

$-10n=-50$

(a)

21.

Solve this equation: Answer as a number only (no variable or =)

$\frac{\ \ \ x}{-4}=-13$

(a)

22.

Solve this equation: Answer as a number only (no variable or =)

$3x+7=-17$

(a)

23.

Solve this equation: Answer as a number only (no variable or =)

$\frac{n}{6}-3=5$

(a)

24.

Translate the equation from words to Algebra:

5 times a number x minus 4 is equivalent to 16

a)

5x-4=16

b)

5xx-4=16

c)

4-5x=16

d)

16-4=5x

25.

What is the constant in this equation?

a)

9.8

b)

3

c)

5

d)

x

26.

What is the coefficient in this equation?

a)

9.8

b)

3

c)

5

d)

x

27.

What is the variable in this equation?

a)

9.8

b)

3

c)

5

d)

x

28.

True or False. There is a denominator in this two-step equation.

a)

true

b)

false

29.

3 is considered a what?

a)

constant

b)

coefficient

c)

denominator

d)

variable

30.

8 is considered a __________.

a)

constant

b)

coefficient

c)

denominator

d)

variable

31.

What is an example of a variable?

a)

x

b)

9x

c)

9

d)

x/9

32.

A coefficient is a ____________.

a)

number that is not attached to a variable; separated by addition or subtraction

b)

number that is attached to a variable by multiplication

c)

number that is attached to a variable by division

d)

letter in algebra that represents an unknown value

33.

A constant is a ____________.

a)

number that is not attached to a variable; separated by addition or subtraction

b)

number that is attached to a variable by multiplication

c)

number that is attached to a variable by division

d)

letter in algebra that represents an unknown value

34.

A denominator is a ____________.

a)

number that is not attached to a variable; separated by addition or subtraction

b)

number that is attached to a variable by multiplication

c)

number that is attached to a variable by division

d)

letter in algebra that represents an unknown value

35.

A variable is a ____________.

a)

number that is not attached to a variable; separated by addition or subtraction

b)

number that is attached to a variable by multiplication

c)

number that is attached to a variable by division

d)

letter in algebra that represents an unknown value

36.

2d + 7 = 9

a)

1

b)

7

c)

4

d)

3

37.

11 = 3z + 5

a)

2

b)

6

c)

1

d)

4

38.

2s - 4 = 6

a)

5

b)

3

c)

-5

d)

2

39.

-12 = 5r + 8

a)

-4

b)

4

c)

3

d)

6

40.

-10 = 6 - 4m

a)

4

b)

5

c)

3

d)

2

41.

a)

145

b)

165

c)

180

d)

190

42.

Solve the equation

a)

28

b)

32

c)

29

d)

-28

43.

Solve for x. $\frac{x}{7}-8=16$

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

100 %

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