2. Example 1: Solve Multi-Step Equations
Main Idea
Example 1: Solve Multi-Step Equations
Example 2: Use the Distributive Property
Lesson Menu

3. Use Properties of Equality to solve multi-step equations.
Main Idea/Vocabulary

4. Solve Multi-Step Equations
Solve 2(10 + t) = 42.
2(10 + t) = Write the equation.
20 + 2t = Distributive Property
– 20 = – 20 Subtraction Property of Equality
2t = Simplify.
t = 11 Simplify.
Division Property of Equality
Answer: t = 11
Example 1

5. Solve 4(y – 9) = 54. A. y = 11.25 B. y = 13.5 C. y = 15.75 D. y = 22.5
Example 1 CYP

6. Use the Distributive Property
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 a bar diagram.
Example 2

7. Use the Distributive Property
5(s + 4) = 6s Write the equation.
5s + 20 = 6s Distributive Property
– 5s = – 5s Subtraction Property of Equality
20 = s Simplify.
Answer: The length of Anne’s stride is 20 inches.
Example 2

8. MUSIC Carlos practiced the piano 15 minutes less than Liam
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?
A. 20 minutes
B. 35 minutes
C. 50 minutes
D. 60 minutes
Example 2 CYP