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Solving One and Two Step Equations - Printable Mathematics Worksheets - Wayground

Solving One and Two Step Equations

19 questions

8th - 8th Grade

Mathematics

This Grade 8 mathematics worksheet gives students focused practice solving one- and two-step linear equations. Across 19 multiple-choice questions, students identify the goal of isolating the variable, choose the correct first step, select the appropriate inverse operation, and solve equations involving addition, subtraction, multiplication, division, negative values, and fractional solutions. The questions move from recognizing solution strategies to applying them independently, helping teachers check whether students understand why an operation is used rather than relying on guess-and-check. Use the worksheet for guided practice, independent work, review, or a quick assessment of equation-solving readiness. It is a free printable worksheet with an answer key for Grade 8 math instruction.

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Worksheets

Solving One and Two Step Equations

Total questions: 19

Name
Class
Date
1.

13 =s−2113\ =s-21  

What is s?

a)

s = 34

b)

s = -8

c)

s=1321s=\frac{13}{21}  

d)

s = 0

2.

10u − 21=3u10u\ -\ 21=3u  

What does u =

a)

u = -21

b)

u = 3

c)

u=1021u=\frac{10}{21}  

d)

u = 0

3.

9=r89=\frac{r}{8}  

What is r?

a)

r=98r=\frac{9}{8}  

b)

r=164r=\frac{1}{64}  

c)

r = 72

d)

9r = 8

4.

7n=427n=42  

What is n?

a)

n=294

b)

n=35

c)

n=7

d)

n=6

5.

19=t+219=t+2  

What is a good first step to solve this equation?

a)

Subtract 2 from both sides.

b)

Add 2 to both sides.

c)

Subtract 19 from both sides

d)

Add 19 to both sides.

6.
What would be the best first step to solving the equation?
-3=x+5
a)
add 3 to both sides
b)
subtract 5 from both sides
c)
add 5 to both sides
d)
subtract -5 from both sides
7.
What would be the best first step to solving the equation in one step?
a)
multiply both sides by 3
b)
multiply both sides by -3
c)
divide both sides by -3
d)
add 3 to each side
8.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
9.
Solve for x:
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
10.
What is the first step in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
11.
Solve  9 + 3x = 10
a)
2/3
b)
1/3
c)
-1/3
d)
4
12.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
13.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
14.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
15.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
16.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
17.
3 - 2a + 3a + 5a
a)
5a+3
b)
5a-3
c)
6a + 3
d)
8a+3
18.

Simplify the expression by combining like terms.

8a+4b+2c-3b+a

a)

9a+b+2c

b)

10a+7b+c

c)

13abc

d)

18abc

19.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
Answer Key

Solving One and Two Step Equations

Total questions: 19

1.
a)

s = 34

2.
b)

u = 3

3.
c)

r = 72

4.
d)

n=6

5.
a)

Subtract 2 from both sides.

6.
b) subtract 5 from both sides
7.
b) multiply both sides by -3
8.
a) isolate the variable.
9.
c) -3
10.
d) Subtract 7
11.
b) 1/3
12.
c) x = -5
13.
b) addition
14.
c) x = 10
15.
a) Add 62 to each side. 
16.
b) v + 4 = 10
17.
c) 6a + 3
18.
a)

9a+b+2c

19.
d) 9v + 14

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FAQs

What does this worksheet cover, and how does it help students solve one- and two-step equations?

This worksheet contains 19 multiple-choice questions on solving one- and two-step linear equations. Students identify the goal of isolating the variable, choose the best first step or inverse operation, and solve equations with positive and negative numbers, including a fractional solution. The format lets teachers assess both procedural decisions and final answers.

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

Begin by modeling how to keep an equation balanced while using inverse operations to isolate the variable. Before students solve independently, use the first-step and inverse-operation questions to discuss why addition, subtraction, multiplication, or division is selected. Then have students apply that reasoning to the equation-solving items and explain how they would check a solution.

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

Watch for students choosing an operation that does not undo the term attached to the variable, such as adding when subtraction is needed. Students may also apply an operation to only one side, lose a negative sign when dividing, or stop after the first step in a two-step equation. The multiple-choice format can also reveal whether a student confuses the correct first step with the final solution.

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

On Wayground, assign this worksheet as a printable PDF or as a digital quiz. It includes a complete answer key for checking the 19 multiple-choice responses, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable option can also support schools that are reducing screen time.

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 multiple-choice equations and answer options are easier to scan. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those file-level changes help students access the equation-solving directions and choices.

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 support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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