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🧠 Systems of Equations: Show Your Thinking (8.EE.C.8)

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Solve pairs of simultaneous linear equations. Solve each problem and show your work.

1. 2x + 4y = 36
4x − 4y = -12
Show your work
2. x + 3y = 14
2x − 3y = -8
Show your work
3. 3x + y = 14
x − 2y = -14
Show your work
4. 4x + 4y = -4
x − 3y = 3
Show your work
5. 4x + 3y = 7
3x − 3y = 21
Show your work
6. x + 3y = 19
2x − 4y = -42
Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) x = 4, y = 7 · 2) x = 2, y = 4 · 3) x = 2, y = 8 · 4) x = 0, y = -1 · 5) x = 4, y = -3 · 6) x = -5, y = 8
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Worksheets › Grade 8 Math › Systems of Equations › Systems of Equations

Grade 8 (ages 13–14)Numbers & mathsFree printable PDF

About this grade 8 worksheet

Free Grade 8 math worksheet (Common Core 8.EE.C.8): systems of equations — problems with space to show work and explain reasoning, with answer key. Skill: Solve pairs of simultaneous linear equations. Level: Grade 8 — also suits Year 9 (UK).

For teachers: skills & standards

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What age is it for?

It is designed for Grade 8 (ages 13–14), but use it with any child who is ready.

What skills does it build?

Solve pairs of simultaneous linear equations.

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More “Systems of Equations” printables (8.ee.c.8: solve pairs of simultaneous linear equations)

Systems of Equations: Practice A (8.EE.C.8) · Systems of Equations: Practice B (8.EE.C.8) · Systems of Equations: Mixed Practice & Reasoning (8.EE.C.8) · Systems of Equations: Quick Check (8.EE.C.8)

All 5 systems of equations sheets → · Grade 8 Math: all 10 skills → · All Common Core grades

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