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Solve systems of equations algebraically EZ - Printable Mathematics Worksheets - Wayground

Solve systems of equations algebraically EZ

9 questions

8th - 8th Grade

Mathematics

Solve systems of equations algebraically EZ is a Grade 8 mathematics worksheet for students developing pre-algebra skills with systems written in terms of y. The nine multiple-choice questions ask students to set two expressions for y equal, solve for the value of x, and select the matching answer, including integer, decimal-equivalent, and fractional solutions. This free printable worksheet gives students focused practice with equating linear expressions and managing positive and negative coefficients without the added complexity of word problems or graphing. It can support guided instruction, independent practice, or a quick check of whether students can isolate x and recognize the correct solution from several choices. A complete answer key is included for efficient review and grading.

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Worksheets

Solve systems of equations algebraically EZ

Total questions: 9

Name
Class
Date
1.

y = x + 2

y = -3x

a)

x = -1/2

b)

x = 0

c)

x = - 4

d)

x = 2

2.

y = -x

y = -7x

a)

x = 7

b)

x = 0

c)

x = 1

d)

x = -1

3.

y = -x-4

y = x

a)

x = -4

b)

-2

c)

x = -2

d)

x = -3

4.

y = x - 6

y = 2x

a)

x = 4

b)

x = -3

c)

x = y

d)

x = -6

5.

y = x + 5

y = -2x

a)

x = 3

b)

x = 3/5

c)

x = -3/5

d)

x = -5/3

6.

y = x - 4

y = 2x

a)

x = 2

b)

x = -4

c)

x = -2

d)

x = 2.0

7.

y = -x-14

y = -8x

a)

x = 2

b)

x = 0

c)

x = -2

8.

y = x + 20

y = 6x

a)

x = 2

b)

x = 5

c)

x = 4

d)

x = -2

9.

y = -x - 3

y = 3x

a)

x = -3

b)

x = -1

c)

x = -4/3

d)

x = -3/4

Answer Key

Solve systems of equations algebraically EZ

Total questions: 9

1.
a)

x = -1/2

2.
b)

x = 0

3.
c)

x = -2

4.
d)

x = -6

5.
d)

x = -5/3

6.
b)

x = -4

7.
a)

x = 2

8.
c)

x = 4

9.
d)

x = -3/4

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FAQs

What does the Solve systems of equations algebraically EZ worksheet cover?

This Grade 8 worksheet focuses on solving systems of linear equations algebraically when both equations are written as expressions for y. Across nine multiple-choice items, students set the two y-expressions equal, solve for x, and identify integer or fractional solutions such as -5/3 and -3/4.

How can I use this worksheet to teach solving systems algebraically?

Model one item by showing that equal y-values can be set equal to each other, then solve for x step by step and substitute the result back into either equation to check it. Students can complete the remaining multiple-choice problems in pairs, explaining how they handled the signs and fractions before selecting an answer.

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

Students may combine the two y-expressions incorrectly, lose a negative sign, or solve for y when the choices ask for x. They may also choose a distractor created by reversing a fraction or stop before simplifying; ask them to substitute each proposed x-value into both equations to verify that the resulting y-values match.

How do I assign and grade this worksheet?

On Wayground, assign the worksheet as a printable PDF or as a digital quiz, and use the complete answer key to review responses. For printable submissions, teachers can scan student work with the Wayground for Teachers app to grade it efficiently.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to increase font size or spacing around the equation pairs and multiple-choice options, or select a dyslexia-friendly font for easier reading. You can also translate the algebra problems into another language while keeping the equations and answer choices available for 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 support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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