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Rearranging Formulas Worksheet

Grade 11 Math worksheet focusing on rearranging algebraic formulas to solve for different variables.

Grade 11 Math AlgebraRearranging Formulas
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3 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSA.CED.A.4

Topics

AlgebraFormulasRearrangingSolving EquationsGrade 11
7 sections · Free to use · Printable
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Rearranging Formulas Worksheet

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Rearrange each of the following formulas to make the indicated variable the subject. Show all your steps clearly.

1. Rearrange the formula A = lw to make 'w' the subject.

2. Rearrange the formula P = 2l + 2w to make 'l' the subject.

3. Rearrange the formula V = (1/3)πr²h to make 'h' the subject.

4. Rearrange the formula F = (9/5)C + 32 to make 'C' the subject.

5. Rearrange the formula A = P(1 + rt) to make 't' the subject.

6. Rearrange the formula E = mc² to make 'm' the subject.

7. Which of the following is the correct rearrangement of I = Prt to make 'r' the subject?

a

r = I - Pt

b

r = I / (Pt)

c

r = I + Pt

d

r = Pt / I

8. If V = IR, which expression correctly solves for I?

a

I = V - R

b

I = V + R

c

I = V / R

d

I = R / V

9. To make 'x' the subject in the formula y = mx + c, the first step is to   from both sides.

10. In the formula A = ½bh, if we want to solve for 'b', we would multiply both sides by   and then divide by  .