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solve for x - Printable Mathematics Worksheets - Wayground

solve for x

12 questions

7th - 7th Grade

Mathematics

This Grade 7 mathematics worksheet gives students 12 multiple-choice opportunities to solve one-variable linear equations for x. The equations require students to use inverse operations, collect variable terms and constants across both sides, manage negative coefficients and constants, and combine like terms, as in 2x + 5x + 11 = 53. One item specifically asks students to identify the first step for isolating x, while the remaining items ask them to select the solution from four choices. Use this free printable worksheet for guided practice, independent work, homework, or a quick assessment of equation-solving fluency. Students must attend to operation signs and determine whether each proposed value satisfies the equation, including equations with negative answers such as x - 19 = 5x + 9. The worksheet includes a complete answer key, making it practical for Grade 7 math instruction and review.

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Worksheets

solve for x

Total questions: 12

Name
Class
Date
1.
x - 2 = 2x + 1
a)
x = 3
b)
x = 6
c)
x = -3
d)
x = 5
2.
3x - 4 = x + 10
a)
x = 7
b)
x = -7
c)
x = 0
d)
x = 4
3.
x + 7 = 2x + 2
a)
x = -4
b)
x = -5
c)
x = 3
d)
x = 5
4.
5x + 1 = x + 1
a)
x = 2
b)
x = 10
c)
x= 0
d)
x = 3
5.
x + 7 = 3x + 3
a)
x = 2
b)
x = 12
c)
x = 7
d)
x = 0
6.
–2x – 11 = x + 16
a)
x = 9
b)
x = 10
c)
x = -9
d)
x = 3
7.
x + 5 = 4x + 2
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
8.
x + 5 = 4x + 2
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
9.
x – 19 = 5x + 9
a)
x = 4
b)
x = 2
c)
x = -7
d)
x = 7
10.
What is the first step in getting "x" by itself?
3x - 7 = 28
a)
subtract 7
b)
add 7
c)
multiply by 3
d)
divide by 3
11.
x-14=3
a)
18
b)
17
c)
9
d)
16
12.
2X+5x+11=53
a)
x=6
b)
x=5
c)
x=-6
d)
x=64/7
Answer Key

solve for x

Total questions: 12

1.
c) x = -3
2.
a) x = 7
3.
d) x = 5
4.
c) x= 0
5.
a) x = 2
6.
c) x = -9
7.
a) x = 1
8.
a) x = 1
9.
c) x = -7
10.
b) add 7
11.
b) 17
12.
a) x=6

FAQs

What does this solve for x worksheet help Grade 7 students practise?

This 12-question multiple-choice worksheet helps Grade 7 students solve one-variable linear equations by isolating x with inverse operations. It includes equations with variables on both sides, negative terms, and like terms to combine, plus an item asking students to identify the correct first step before solving.

How can I use this worksheet to teach solving linear equations?

Model one equation with x on both sides, such as x - 2 = 2x + 1, and ask students to explain why the same operation must be applied to both sides. Then use the worksheet’s first-step question for 3x - 7 = 28 to introduce inverse operations before students solve the remaining multiple-choice equations and justify why their selected value works.

What mistakes should I watch for when students solve these equations?

Watch for students moving a term across the equals sign without changing its operation, mishandling negative terms such as -2x - 11, or combining unlike terms instead of collecting variable terms and constants. Students may also choose a solution without checking it in the original equation or select divide by 3 instead of add 7 as the first step for 3x - 7 = 28.

How do I assign and grade this solve for x worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 12 multiple-choice questions. For printable submissions, teachers can scan student work with the Wayground for Teachers app to support grading.

How can I differentiate this linear equations worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the equations and four answer choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when that supports access to the equation-solving tasks.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad 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.