🧠 Linear Equations & Inequalities: Show Your Thinking (A-REI.B.3)

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Solve linear equations and inequalities in one variable. Solve each problem and show your work.

1. -9(x + 6) − 3 = x − 7

Show your work

2. -3(x + 2) = 2x − 36

Show your work

3. 3(x + 2) + 4 = 2x + 15

Show your work

4. -3(x + 4) + 5 = x − 51

Show your work

5. 3(x + 3) + 8 = x + 11

Show your work

6. 3(x + 3) + 9 = 2x + 18

Show your work

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

Answer key: 1) x = -5 · 2) x = 6 · 3) x = 5 · 4) x = 11 · 5) x = -3 · 6) x = 0

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Worksheets › Grade 9 Math (Algebra I) › Linear Equations & Inequalities › Linear Equations & Inequalities

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.B.3): linear equations & inequalities — problems with space to show work and explain reasoning, with answer key. Skill: Solve linear equations and inequalities in one variable. Level: Grade 9 — also suits Year 10 (UK).

For teachers: skills & standards

CCSS A-REI.B.3: Solve linear equations and inequalities in one variable
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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What age is it for?

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

What skills does it build?

Solve linear equations and inequalities in one variable.

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More “Linear Equations & Inequalities” printables (a-rei.b.3: solve linear equations and inequalities in one variable)

Linear Equations & Inequalities: Practice A (A-REI.B.3) · Linear Equations & Inequalities: Practice B (A-REI.B.3) · Linear Equations & Inequalities: Word Problems (A-REI.B.3) · Linear Equations & Inequalities: Quick Check (A-REI.B.3)

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

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