Example 1: Solve Multi-Step Equations

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Presentation transcript:

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

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

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 Equality 2t = 22 Simplify. t = 11 Simplify. Division Property of Equality Answer: t = 11 Example 1

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

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

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

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