Back to Rearrange formulas — Problem 5 · 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.

Simple interest total: $A = P + Prt$ , where $P$ is the principal, $r$ is the annual rate, and $t$ is time in years. Which expression correctly gives $P$ in terms of $A$ , $r$ , and $t$ ?

$P = \frac{A}{1 + rt}$

$P = A - rt$

$P = \frac{A}{1} + rt$

$P = \frac{A - P}{rt}$