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Algebra 2 Step Equations - Printable Mathematics Worksheets - Wayground

Algebra 2 Step Equations

20 questions

8th Grade

Mathematics

Algebra 2 Step Equations is a Grade 8 mathematics worksheet focused on solving linear equations in one variable. Its 20 items include 18 multiple-choice questions and 2 math-response questions covering inverse operations, combining like terms, variables on both sides, distribution, negative signs, and a fractional coefficient. Several problems require students to simplify an equation before isolating the variable, while answer choices help reveal common algebraic errors. Use this free printable worksheet to give students guided practice or an independent check of their equation-solving skills. It works well after modeling how to keep both sides of an equation balanced and can support review of equations such as 8v − 4(v + 8) = 8, 3x + 2(4x − 4) = 3, and 2 + ¾l = 5. A complete answer key is included for efficient checking, reteaching, and feedback.

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Worksheets

Algebra 2 Step Equations

Total questions: 20

Name
Class
Date
1.

Solve 2x - 3 = 1 

a)

3

b)

2

c)

1

d)

-2

2.

Solve  3x - 7 = 32

a)

13

b)

-13

c)

12

d)

-12

3.

Solve    8 - 2x = 30

a)

-11

b)

11

c)

-12

d)

12

4.

Solve 2x -7 = -23

a)

-8

b)

8

c)

-7

d)

-14

5.
6.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

7.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

8.
9.

Solve for a

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

10.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

11.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4 

12.

Solve this algebraic equation.
3p + 7 = 19

a)

p = -4

b)

p = 9

c)

p = 4

d)

p = 8.67

13.

Using the equation 2 + ¾l = 5, what does the value of l equal?

a)

l = 3

b)

l = 4

c)

l = 7

d)

l = ¾

14.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

15.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

16.

Solve for s:

a)

s= 10

b)

s= -6

c)

s= 18

d)

s=-10

17.

Solve for d:

a)

d = 24

b)

d = -48

c)

d = -3

d)

12

18.

Solve

a)

t=131t=131

b)

t=76t=76

c)

t=111t=111

d)

t=56t=56

19.

What would be a helpful first step in solving this equation?

a)

add 6 both sides

b)

subtract 6 both sides

c)

multiply by 5 both sides

d)

divided by 5 both sides

20.

What is the solution to the equation?

a)

p=1p=1

b)

p=10p=10

c)

p=0p=0

d)

p=4p=4

Answer Key

Algebra 2 Step Equations

Total questions: 20

1.
b)

2

2.
a)

13

3.
a)

-11

4.
a)

-8

5.

55

6.
c)

-3

7.
b)

c = 6

8.

22

9.
a)

a= -2

10.
b)

x = 1

11.
b)

10

12.
c)

p = 4

13.
b)

l = 4

14.
d)

1

15.
b)

10

16.
c)

s= 18

17.
a)

d = 24

18.
d)

t=56t=56

19.
b)

subtract 6 both sides

20.
d)

p=4p=4

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FAQs

What does the Algebra 2 Step Equations worksheet cover?

This Grade 8 worksheet develops skill in solving one-variable linear equations through 20 items: 18 multiple-choice questions and 2 math-response questions. Students isolate the variable in equations that require inverse operations, combining like terms, distributing through parentheses, handling negative signs, comparing variable terms on both sides, and working with a fractional coefficient.

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

Model a balance-preserving sequence before assigning the worksheet: simplify each side, move variable terms or constants with inverse operations, isolate the variable, and substitute the result to check it. Use equations such as 8v − 4(v + 8) = 8 and 3x + 2(4x − 4) = 3 for think-aloud practice, then ask students to explain why each operation must be applied to both sides before they complete the multiple-choice and math-response items.

What mistakes should I watch for on this equations worksheet?

Watch for sign errors when students subtract or add constants, distribute a negative sign in expressions such as −(n − 8), or combine terms on opposite sides without first simplifying. Students may also mishandle the fractional coefficient in 2 + ¾l = 5, fail to distribute in 3x + 2(4x − 4) = 3, or choose “no solution” or “infinite solutions” without simplifying an equation with variables on both sides.

How do I assign and grade the Algebra 2 Step Equations worksheet?

On Wayground, you can assign this worksheet as a printable PDF or as a digital quiz, and it includes a complete answer key for all 20 items. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital format supports online response collection.

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

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to give students more room to write steps beside equations with parentheses or fractions. You can also apply a dyslexia-friendly font or translate the worksheet into another language while preserving its multiple-choice and math-response format.

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

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