Practice Problems

  1. The following formula gives the temperature's measure in degrees Fahrenheit F, where ‍C is the measure in degrees Celsius:

    \(F=\frac{9}{5}C+32\)

    Rearrange the formula to highlight the measure in degrees Celsius.

  2. The following formula is used in economics to find a factory's unit labor cost ‍U, where ‍O is the hourly output per worker and ‍W is the hourly compensation per worker.

    \(U = \frac{W}{O}\)

    Rearrange the formula to highlight the hourly output per worker.

  3. The following formula gives the area ‍A of a trapezoid, where ‍b and ‍c are the bases of the trapezoid and ‍h is the height:

    \(A=\frac{1}{2}(b+c)h\)

    Rearrange the formula to highlight the height.

  4. The following formula gives an object's average speed ‍S, where ‍T is the time it takes the object to travel a distance ‍D.

    \(S=\frac{D}{T}\)

    Rearrange the formula to highlight time.

Source: Khan Academy, https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:modeling/x2ec2f6f830c9fb89:manipulating-formulas/e/manipulating-formulas
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