Free Printable Solving One and Two-Step Equations

Worksheets

Solving One and Two-Step Equations

Total questions: 18

Worksheet time: 34mins

Name

Class

Date

2x + 16 = 130

x=114

x=57

x=-114

x=-57

The goal of solving two-step equations is to:

Move the constant

Find the coefficient

Find the value of the variable

Combine like terms

The steps in solving 5b - 6 = 24 are:

Add 6 to both sides and divide both sides by 5

Add 6 to both sides and multiply both sides by 5

Subtract 6 from both sides then multiply both sides by 5

Subtract 6 from both sides then divide both sides by 5

In the equation
4p = 20
the variable, p, is being multiplied by 4. How should you show your work to isolate the variable and solve the equation?

Multiply both sides by 4.
The solution is x = 80.

Subtract 4 from both sides.
The solution is p = 16.

Add 4 to both sides. The solution is p = 24.

Divide both sides by 4. The solution is p = 5.

Solve for w:
-6w + 1 = -11

1.2

-2

Solve x/2 + 4 = -2

-3

-12

Solve if x/5 - 4 = 1

-1

-25

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

subtraction

addition

multiplication

division

What is the inverse operation of addition?

addition

subtraction

multiplication

division

10.

What is the inverse operation of subtraction?

addition

subtraction

multiplication

division

11.

What is the inverse operation of subtraction?

addition

subtraction

multiplication

division

12.

What is the inverse operation of multiplication?

addition

subtraction

multiplication

division

13.

What is the inverse operation of division?

addition

subtraction

multiplication

division

14.

WRITE AN EQUATION

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

7x+6=331

13x=331

6x+7=331

331-7=6x

15.

WRITE AN EQUATION

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

24-10=7x

7x- 24=10

7x+ 10=24

10+x=14

16.

-15 = 2r + 1

-8

17.

x/12 - 5 = -6

-12

-19

18.

^x/₄- 3 = 9

100 %

Solving One and Two-Step Equations

Total questions: 18

Worksheet time: 34mins

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