3-8 Solving Equations and Formulas

ObjectiveStudents will be able to solve equations for given variables.

• When solving formulas for a specific variable, we are still going to solve the same way we solve single variable equations.

• The goal is still going to be to isolate the specified variable terms on one side of the equation, and all other terms on the other side of the equation.

• We then want the coefficient on our specified variable to be a 1.

How would you solve this problem?

Example 1: Solve each equation or formulas for the variable specified.a)

b)

c)

d)

e)

Try these.f) g)

h) i)

Try these.

Example 2: Solve each equation or formula for the specified variable.a) b)

c) d)

Try these.e) f)

g)

Example 3: Solve each formula for the specified quantity.a) for width

Find the width when the perimeter is 36 inches and the length is 3 inches.

Try this.b) for height

Find the height of a rectangular prism when the volume is 36 cubic feet, the length is 2 feet, and the width is 3 feet.