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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Warm-Up: Review What You Know

These problems review skills you have already learned.

In the formula $A = \frac{1}{2}bh$ , you want to solve for $h$ . Which statement best describes how to treat $b$ ?

Set $b = 0$ so it disappears from the equation.

Replace $b$ with a number before rearranging.

Treat $b$ as a constant — apply inverse operations around it, just as you would with a number.

Ignore $b$ because the goal is to isolate $h$ .