Solve Multi Step Equations - saralandboe.org

Main Idea Example 1: Solve Multi-Step EquationsExample 2: Use the Distributive Property

• Use Properties of Equality to solve multi-step equations.

Solve Multi-Step Equations

Solve 2(10 + t) = 42.

2(10 + t) = 42 Write the equation.20 + 2t = 42 Distributive Property

– 20 = – 20 Subtraction Property of Equality2t = 22 Simplify.

t = 11 Simplify.

Division Property of Equality

Answer: t = 11

A. y = 11.25

B. y = 13.5

C. y = 15.75

D. y = 22.5

Solve 4(y – 9) = 54.

WALKING The length of Philip’s stride when walking is 4 inches greater than the length of Anne’s stride. If it takes Philip 5 steps and Anne 6 steps to walk the same distance, what is the length of Anne’s stride?

Use the Distributive Property

Use a bar diagram.

Use the Distributive Property

5(s + 4) = 6s Write the equation.5s + 20 = 6s Distributive Property

– 5s = – 5s Subtraction Property of Equality20 = s Simplify.

Answer: The length of Anne’s stride is 20 inches.

A. 20 minutes

B. 35 minutes

C. 50 minutes

D. 60 minutes

MUSIC Carlos practiced the piano 15 minutes less than Liam. Parker practiced the piano 3 times as much as Carlos. If the three boys practiced 115 minutes altogether, how long did Carlos practice?