🧠 Systems of Linear Equations: Show Your Thinking (A-REI.C.6)

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Solve systems of linear equations exactly and approximately. Solve each problem and show your work.

1. y = 2x − 8
x + y = 10

Show your work

2. y = 2x − 2
x + y = 10

Show your work

3. Adult tickets cost $14, child tickets $5. 23 tickets sold for $160. How many adult tickets?

Show your work

4. y = 2x − 10
x + y = -1

Show your work

5. y = 2x + 9
x + y = 3

Show your work

6. Adult tickets cost $14, child tickets $2. 15 tickets sold for $78. How many adult tickets?

Show your work

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

Answer key: 1) (6, 4) · 2) (4, 6) · 3) 5 · 4) (3, -4) · 5) (-2, 5) · 6) 4

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Worksheets › Grade 9 Math (Algebra I) › Systems of Linear Equations › Systems of Linear Equations

Grade 9 (ages 14–15)Numbers & mathsFree printable PDF

About this grade 9 worksheet

Free Grade 9 Algebra I math worksheet (Common Core A-REI.C.6): systems of linear equations — problems with space to show work and explain reasoning, with answer key. Skill: Solve systems of linear equations exactly and approximately. Level: Grade 9 — also suits Year 10 (UK).

For teachers: skills & standards

CCSS A-REI.C.6: Solve systems of linear equations exactly and approximately
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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It is designed for Grade 9 (ages 14–15), but use it with any child who is ready.

What skills does it build?

Solve systems of linear equations exactly and approximately.

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More “Systems of Linear Equations” printables (a-rei.c.6: solve systems of linear equations exactly and approximately)

Systems of Linear Equations: Practice A (A-REI.C.6) · Systems of Linear Equations: Practice B (A-REI.C.6) · Systems of Linear Equations: Word Problems (A-REI.C.6) · Systems of Linear Equations: Quick Check (A-REI.C.6)

All 5 systems of linear equations sheets → · Grade 9 Math (Algebra I): all 10 skills → · All Common Core grades

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