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Rearranging Equations and Formulas

Source: Thermometer - narith_2527/iStock/Getty Images

Introduction

This lesson will focus on rearranging equations and formulas.

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Lesson Goals

  • Rearrange linear relations to solve in terms of one variable.
  • Rearrange formulas to solve in terms of one variable.

Try This

The formula for the perimeter of a trapezoid is \(P=a+b+c+d\) and its area is \(A=\dfrac{h(a+b)}{2}\), where \(h\), \(a\), \(b\), \(c\), and \(d\) are shown in the diagram.

A trapezoid with sides a, b, c, and d, where sides a and b are parallel. The height h drawn from the parallel sides to form a right angle.

Can you isolate \(a\) in both equations?