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Rearranging Formulas Worksheet

A Grade 10 math worksheet focusing on rearranging algebraic formulas to solve for different variables, including practical applications.

Grade 10 Math AlgebraRearranging Formulas
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Includes

3 Short AnswerFill in the BlanksMultiple Choice

Standards

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

Topics

AlgebraFormulasRearrangingSolving EquationsGrade 10 Math
7 sections · Free to use · Printable
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Rearranging Formulas

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Read each question carefully and rearrange the given formula to solve for the indicated variable. Show all your work.

1. Rearrange the formula A = lw to solve for w.

2. Rearrange the formula P = 2l + 2w to solve for l.

3. Rearrange the formula I = PRT to solve for R. R =  

4. Rearrange the formula F = ma to solve for a. a =  

5. Rearrange the formula A = πr² to solve for r.

6. Rearrange the formula V = s³ to solve for s.

7. Which of the following correctly rearranges the formula D = m/V to solve for V?

a

V = Dm

b

V = m/D

c

V = D/m

d

V = D - m

8. The formula for the circumference of a circle is C = 2πr. Rearrange this formula to express the radius (r) in terms of the circumference (C). Then, calculate the radius of a circle with a circumference of 31.4 cm (use π ≈ 3.14).

9. The formula for the volume of a rectangular prism is V = lwh. Rearrange this formula to solve for the height (h). If a rectangular prism has a volume of 120 cm³, a length of 5 cm, and a width of 4 cm, what is its height?