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Finding a Missing Value

Part of the Fundamentals section of Coddy's Algebra journey. Lesson 54 of 61.

Often the letter you want is not the one on its own. Take this question: a car travels 120 km at 40 km per hour, and you want to know how long the trip takes. Substitute d=120d = 120 and s=40s = 40 into the distance formula d=std = st:

120=40t120 = 40t

The result is a one-step equation for tt. Divide both sides by 40 to get t=3t = 3, so the trip takes 3 hours. The formula itself did not change. You substituted the values you knew and solved for the letter that was left, the same way as with any equation.

One formula can answer three different questions. With d=std = st you can find the distance, the speed or the time, depending on which letter is unknown. You solve all three the same way: substitute the values you know, then solve for the letter that is left.

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Challenge

Medium

A rectangle has area 36 and length 9. Substituting into A=lwA = lw gives 36=9w36 = 9w. Solve for the width ww.

Try it yourself

36=9w36 = 9w

Get ww alone

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