Back to Rearrange formulas — Problem 4 · Task Set 30

Exercises: Rearrange Formulas to Highlight a Quantity of Interest

Show each algebraic step clearly. State which operation you apply to both sides at each step.

Grade 9·20 problems·~30 min·Common Core Math - HS Algebra·standard·hsa-ced-a-4
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Fluency Practice

Rearrange each formula to solve for the indicated variable. Show your steps.

Contrast card showing the common error of forgetting the square root step (wrong) versus correctly taking the square root of both sides when isolating a squared variable (correct).
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Area of a circle: A=πr2A = \pi r^2. Rearrange to solve for rr (take the positive root). Then find rr when A=100πA = 100\pi cm². Give your answer in centimetres.