🧠 Radical & Rational Equations: Show Your Thinking (A-REI.A.2)

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Solve simple rational and radical equations in one variable. Solve each problem and show your work.

1. 12/(x + 4) = 3

Show your work

2. √(x + 9) = 8

Show your work

3. 36/(x + 5) = 6

Show your work

4. √(x + 5) = 2

Show your work

5. 36/(x + 6) = 6

Show your work

6. √(x + 8) = 9

Show your work

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

Answer key: 1) x = 0 · 2) x = 55 · 3) x = 1 · 4) x = -1 · 5) x = 0 · 6) x = 73

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Worksheets › Grade 11 Math (Algebra II) › Radical & Rational Equations › Radical & Rational Equations

Grade 11 (ages 16–17)Numbers & mathsFree printable PDF

About this grade 11 worksheet

Free Grade 11 Algebra II math worksheet (Common Core A-REI.A.2): radical & rational equations — problems with space to show work and explain reasoning, with answer key. Skill: Solve simple rational and radical equations in one variable. Level: Grade 11 — also suits Year 12 (UK).

For teachers: skills & standards

CCSS A-REI.A.2: Solve simple rational and radical equations 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 11 (ages 16–17), but use it with any child who is ready.

What skills does it build?

Solve simple rational and radical equations in one variable.

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More “Radical & Rational Equations” printables (a-rei.a.2: solve simple rational and radical equations in one variable)

Radical & Rational Equations: Practice A (A-REI.A.2) · Radical & Rational Equations: Practice B (A-REI.A.2) · Radical & Rational Equations: Mixed Practice & Reasoning (A-REI.A.2) · Radical & Rational Equations: Quick Check (A-REI.A.2)

All 5 radical & rational equations sheets → · Grade 11 Math (Algebra II): all 10 skills → · All Common Core grades

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