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Solving Two Step Equations - Printable Mathematics Worksheets year 6 - Wayground

Solving Two Step Equations

14 questions

6th - 6th Grade

Mathematics

This Grade 6 mathematics worksheet builds fluency with solving two-step equations using inverse operations. Students identify opposite operations, place the solving steps in the correct order, and determine whether to undo addition, subtraction, multiplication, or division first or last while keeping both sides of an equation balanced. The 14-question set combines one matching item, one drag-and-drop sequencing item, eight multiple-choice questions, and four fill-in-the-blank problems. It moves from recognizing inverse operations and selecting appropriate first or final steps to solving equations and recording numerical answers. This free printable worksheet is designed for guided practice, independent work, or a quick skills check and includes a complete answer key.

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Worksheets

Solving Two Step Equations

Total questions: 14

Name
Class
Date
1.

To undo an operation, you must do its opposite or inverse to both sides of the equation. Match each operation to its inverse.

Addition

Subtraction

Subtraction

Addition

Multiplication

Division

Division

Multiplication

2.

To solve a two-step equation, first you undo any​ (a)   or ​ (b)   . Then you undo any ​ (c)   or ​ (d)   .

Choose from the below words
addition
subtraction
multiplication
division
3.

What is the first step you should do to solve this equation?

a)

Add 31 to both sides

b)

Subtract 31 from both sides

c)

Subtract 5 from both sides

d)

Divide by -6 on both sides

4.

What is the first step you should do to solve this equation?

a)

Multiply by -3 on both sides.

b)

Subtract 33 from both sides

c)

Subtract 19 from both sides

d)

Divide by -3 on both sides

5.

What is the first step you should do to solve this equation?

a)

Multiply by 10 on both sides.

b)

Subtract 18 from both sides

c)

Subtract 28 from both sides

d)

Divide by 10 on both sides

6.

What is the first step you should do to solve this equation?

a)

Multiply by 11 on both sides.

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide by 11 on both sides

7.

What is the last step you should do to solve this equation?

a)

Add 6 to both sides

b)

Divide both sides by -6

c)

Divide both sides by 36

d)

Multiply both sides by -6

8.

What is the last step you should do to solve this equation?

a)

Add 3 to both sides

b)

Multiply both sides by 14

c)

Divide both sides by -3

d)

Multiply both sides by -3

9.

What is the last step you should do to solve this equation?

a)

Add 10 to both sides

b)

Multiply both sides by 10

c)

Divide both sides by 10

d)

Multiply both sides by -18

10.

What is the last step you should do to solve this equation?

a)

Add 11 to both sides

b)

Multiply both sides by 11

c)

Divide both sides by -11

d)

Multiply both sides by -11

11.

Solve this equation.

(a)  

12.

Solve this equation.

(a)  

13.

Solve this equation.

(a)  

14.

Solve this equation.

(a)  

Answer Key

Solving Two Step Equations

Total questions: 14

1.

Addition

 - 

Subtraction

, 

Subtraction

 - 

Addition

, 

Multiplication

 - 

Division

, 

Division

 - 

Multiplication

2.
addition, subtraction, multiplication, division
3.
a)

Add 31 to both sides

4.
c)

Subtract 19 from both sides

5.
b)

Subtract 18 from both sides

6.
c)

Add 11 to both sides

7.
b)

Divide both sides by -6

8.
d)

Multiply both sides by -3

9.
c)

Divide both sides by 10

10.
d)

Multiply both sides by -11

11.
-6
12.
-42
13.
1
14.
-88

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FAQs

What does this two-step equations worksheet help Grade 6 students learn?

This worksheet helps students solve two-step equations by matching operations with their inverses, sequencing which operations to undo first, and identifying the final operation needed to isolate the variable. Its multiple-choice and fill-in-the-blank items then ask students to apply that order and record solutions, reinforcing the habit of performing inverse operations on both sides of an equation.

How can I use this worksheet to teach students to solve two-step equations?

Begin with the matching item to review that addition pairs with subtraction and multiplication pairs with division, then use the drag-and-drop item to establish the order of undoing operations. Work through the first-step and last-step multiple-choice items aloud, asking students why the selected inverse should be applied to both sides before assigning the final fill-in-the-blank equations for independent practice.

What mistakes should I watch for when students complete this two-step equations worksheet?

Watch for students choosing the operation shown in the equation instead of its inverse, such as adding when they should subtract, or reversing the order by undoing the coefficient before the constant. In the multiple-choice items, students may also select a correct-looking operation but apply it to only one side; review the final fill-in-the-blank answers to check that both inverse steps were completed and the numerical solution was recorded accurately.

How do I assign and grade this two-step equations worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the matching, drag-and-drop, multiple-choice, and fill-in-the-blank items. For printable submissions, you can scan student work with the Wayground for Teachers app to support faster grading.

How can I differentiate this two-step equations worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the inverse-operation choices and equation items are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options better support students working through the two-step equation directions and responses.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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