Rearranging Formulas

Aligned to A-CED.A.4 — Common Core State Standards for Mathematics.

What this lesson teaches

Solve a formula for a different variable using the same inverse operations you use for equations, treating the other letters as constants.

Example 1

Solve A = ½bh for h. Multiply both sides by 2: 2A = bh. Divide both sides by b: h = 2A / b.

Example 2

Solve C = (5/9)(F − 32) for F. Multiply by 9/5: (9/5)C = F − 32, so F = (9/5)C + 32.

Example 3

Rearranging uses the same moves as solving for a number. The only difference is that the answer contains letters.

Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

Despeja una fórmula para otra variable usando las mismas operaciones inversas que en las ecuaciones, tratando las demás letras como constantes.

Ejemplo 1: Despeja h en A = ½bh. Multiplica ambos lados por 2: 2A = bh. Divide ambos lados entre b: h = 2A / b.

Ejemplo 2: Despeja F de C = (5/9)(F − 32). Multiplica por 9/5: (9/5)C = F − 32, así que F = (9/5)C + 32.

Ejemplo 3: Despejar usa los mismos movimientos que resolver para un número. La única diferencia es que la respuesta lleva letras.

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