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Grade 9 Literal Equations (Rearranging Formulas) Worksheet with Answers

Grade 9 (US) · Year 10 (UK) · Class 9 (India) · Math

Unit 1: Equations & InequalitiesLinear EquationsCCSS A-CED.A.4

Rearranging formulas such as A = lw or y = mx + b to make a different variable the subject. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Literal Equations (Rearranging Formulas)

Grade 9 · Math

Score___ / 12

Name

Class

Date

Learning goal: Linear Equations · CCSS A-CED.A.4

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

Use P = 2l + 2w. If P = 38 and w = 5, find l.

Answer: 14

RememberSolving equations

1
Use A = lw. If A = 21 and l = 7, find w.
Answer
2
Solve V = lwh for h.
Answer
3
Use P = 2l + 2w. If P = 32 and w = 8, find l.
Answer
4
Use A = lw. If A = 48 and l = 4, find w.
Answer
5
Solve P = 2l + 2w for l.
Answer
6
Solve y = mx + b for x.
Answer
7
Use A = lw. If A = 143 and l = 13, find w.
Answer
8
Solve C = 2πr for r.
Answer
9
Use A = lw. If A = 150 and l = 15, find w.
Answer
10
Use A = lw. If A = 36 and l = 4, find w.
Answer
11
Use d = rt. If d = 110 miles and r = 22 mph, find t.
Answer
12
Solve d = rt for t.
Answer

★ Challenge corner for fast finishers

If a + b = 12 and ab = 21, what is a^2 + b^2?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/9/literal_equations

Answer key (click to show)

1.3
2.h = V/(lw)
3.8
4.12
5.l = (P - 2w)/2
6.x = (y - b)/m
7.11
8.r = C/(2π)
9.10
10.9
11.5 hours
12.t = d/r
★102 (challenge corner)

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