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Solving Equations with One Variable - Printable Math Worksheets year 6 - Wayground

Solving Equations with One Variable

Robert Anderson

Created by Robert Anderson

12 questions

6th Grade

Math

Updated Sept 2026

Solving Equations with One Variable is a Grade 6 mathematics worksheet focused on using the properties of equality to solve one-step equations with addition and subtraction. Students first complete a fill-in-the-blank item stating the rule to apply the same operation to both sides, then solve equations such as 30 = y + 12, g - 8 = 25, and 30 = m - 18. The multiple-choice items include both positive and negative-operation situations and ask students to identify the value of the variable. This 12-question resource helps students connect inverse operations with accurate equation solving and recognize when addition is needed to solve a subtraction equation. It is useful for guided practice, independent review, or a quick check of Grade 6 readiness with one-variable equations. The worksheet is available as a free printable PDF and includes a complete answer key for efficient checking.

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WaygroundWorksheets

Solving Equations with One Variable

Total questions: 12

Name
Class
Date
1.

What is the basic rule for the properties of equality?

(a)  

2.

30 = y + 12

a)

42

b)

18

c)

64

d)

-42

3.

18 + a = 24

a)

18a

b)

28

c)

6

d)

42

4.

g - 8 = 25

a)

33

b)

-33

c)

17

d)

-17

5.

25 + y = 42

a)

42

b)

7

c)

27

d)

17

6.

r + 82 = 97

a)

15

b)

189

c)

42

d)

1

7.

a - 51 = 12

a)

34

b)

51

c)

43

d)

63

8.

150 = e + 42

a)

801

b)

108

c)

77

d)

42

9.

30 = m -18

a)

42

b)

30

c)

48

d)

18

10.

Krystal says that you need to add to solve the subtraction equation y - 11 = 52. Is Krystal correct?

a)

I have no idea!

b)

Yes

c)

No

11.

h - 22 = 225

a)

203

b)

244

c)

247

d)

42

12.
Question Image
a)

360 °\degree    

b)

660 °\degree  

c)

45 °\degree  

d)

60 °\degree  

WaygroundAnswer Key

Solving Equations with One Variable

Total questions: 12

1.
same to both sides, sametobothsides, same 2 both sides, same too both sides
2.
b)

18

3.
c)

6

4.
a)

33

5.
d)

17

6.
a)

15

7.
d)

63

8.
b)

108

9.
c)

48

10.
b)

Yes

11.
c)

247

12.
d)

60 °\degree  

FAQs

What does the Solving Equations with One Variable worksheet cover?

This Grade 6 worksheet covers solving one-step equations with one variable by applying the same operation to both sides of an equation. It includes one fill-in-the-blank item about the properties of equality and 11 multiple-choice problems involving addition and subtraction, such as 18 + a = 24 and 30 = m - 18.

How can I use this worksheet to teach one-step equations?

Begin by discussing the fill-in-the-blank rule that the same operation must be applied to both sides of an equation. Then model how inverse operations isolate the variable in an addition equation and a subtraction equation before students complete the multiple-choice items; ask them to explain why addition is used to solve y - 11 = 52.

What mistakes should I watch for when students complete this worksheet?

Watch for students choosing the visible number instead of finding the missing variable, such as selecting 30 for 30 = m - 18 rather than adding 18 to get 48. Students may also subtract when they should add in equations such as g - 8 = 25, or fail to apply the same operation to both sides as stated in the opening item.

How do I assign and grade this worksheet?

On Wayground, assign this resource as a printable PDF or as a digital quiz, and use the complete answer key to check the fill-in-the-blank and multiple-choice responses. For printable submissions, you can scan student work with the Wayground for Teachers app to support grading.

How can I differentiate this one-variable equations worksheet?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the equation items and answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options support access to the one-step equation practice.

Where can I find more worksheets like this on Wayground?

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