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1 & 2 Step Equations with integers - Printable Math Worksheets 7th Grade - Wayground

1 & 2 Step Equations with integers

Earl Shockley

Created by Earl Shockley

25 questions

7th Grade

Math

Updated May 2026

This Grade 7 mathematics worksheet gives students focused practice solving one- and two-step linear equations with integers. Across 25 multiple-choice questions, students isolate a variable by applying inverse operations, combine positive and negative constants, and divide by positive or negative coefficients to identify the correct value. The equations use variables such as x, a, and b and include both one-step and multi-step forms. Use this free printable worksheet for independent practice, guided review, homework, or a quick check of pre-algebra readiness. The multiple-choice format helps teachers identify common sign and operation errors, while the included answer key supports efficient checking and feedback. A digital quiz version is also available on Wayground for teachers who want students to complete the same equation-solving practice online.

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1 & 2 Step Equations with integers

Total questions: 25

Name
Class
Date
1.
3x + 2 = -25
a)
x = -8
b)
x = -9
c)
x = 9
d)
x = 24
2.
-2x + 6 = 10
a)
x = -8
b)
x = 8
c)
x = 4
d)
x = -2
3.
-3x + 1 = 7
a)
x = -2
b)
x = -2 2∕3
c)
x = 2
d)
x = 2 2∕3
4.
-5x - 2 = 48
a)
x = 9
b)
x = 10
c)
x = -10
d)
x = -250
5.
5x + 14 = -36
a)
x = -4
b)
x = -10
c)
x = 10
d)
x = 4
6.
-4b + 4 = -20
a)
b = 4
b)
b = -4
c)
b = 6
d)
b = -6
7.
Question Image
a)
2
b)
4
c)
6
d)
8
8.
Question Image
a)
60
b)
70
c)
80
d)
90
9.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
10.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
11.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
12.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
13.
Solve for x:
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
14.
-16+ x= -15
a)
2
b)
0
c)
-1
d)
1
15.
7.    -4y = 48
a)
x = -52
b)
x = -12
c)
x = -44
d)
x = -13
16.
-7b=49
a)
B=7
b)
B=-7
c)
B=2
17.
Solve the equation below:
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
18.
x+4=-6
a)
x=-10
b)
x=-8
c)
x=10
19.
Solve the equation:
-3 + x = -12
a)
x = 9 
b)
x = -15
c)
x = -9
d)
x = 15
20.
x - (-1) = 11
a)
x = 10
b)
x = 12
c)
x = -10
d)
x = 11
21.
a/-2 = 5
a)
7
b)
3
c)
-10
d)
-2.5
22.
-8x = -96
a)
x = -12
b)
x = 12
c)
x = 13
d)
x = 14
23.
Solve the equation:
x/-3 = -4
a)
x = 12
b)
x = 1
c)
x = -1
d)
x = -12
24.
Solve the equation:
-3 + x = -12
a)
x = 9 
b)
x = -15
c)
x = -9
d)
x = 15
25.
Solve the equation:
x - 4 = -3
a)
x = -7
b)
x = 1
c)
x = 12
d)
x = -12
WaygroundAnswer Key

1 & 2 Step Equations with integers

Total questions: 25

1.
b) x = -9
2.
d) x = -2
3.
a) x = -2
4.
c) x = -10
5.
b) x = -10
6.
c) b = 6
7.
c) 6
8.
c) 80
9.
c) x = -5
10.
b) a =  -69
11.
c) 3
12.
c) x = 9
13.
c) x = 10
14.
d) 1
15.
b) x = -12
16.
b) B=-7
17.
b) k = 176
18.
a) x=-10
19.
c) x = -9
20.
a) x = 10
21.
c) -10
22.
b) x = 12
23.
a) x = 12
24.
c) x = -9
25.
b) x = 1

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FAQs

What does this worksheet cover?

This Grade 7 worksheet covers solving one- and two-step linear equations with integers in a 25-question multiple-choice format. Students use inverse operations to isolate variables, including equations with negative constants, negative coefficients, and both one-step forms such as -5x = 25 and multi-step forms such as 3x + 2 = -25.

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

Begin by modeling how to undo operations in reverse order, keeping both sides of an equation balanced and tracking the sign of each number. Work through one-step examples such as x - 8 = -5 before moving to two-step examples such as 5x + 14 = -36. After students select answers, ask them to substitute the value back into an equation to verify it.

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

Watch for students changing a sign incorrectly when moving a constant, dividing by the coefficient without applying the sign, or performing only one inverse operation in a two-step equation. The multiple-choice distractors also reveal errors such as treating -2x as 2x or confusing addition with multiplication. Have students check selected values by substituting them into the original equation.

How do I assign and grade this worksheet?

This integer-equation worksheet is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key for all 25 multiple-choice questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.

How can I differentiate this worksheet for my students?

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

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across 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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