Main Idea and New Vocabulary Key Concept: Division Property of Equality Example 1: Solve Multiplication Equations Example 2: Solve Multiplication Equations Example 3: Real-World Example: Solve a Multiplication Equation Key Concept: Multiplication Property of Equality Example 4: Solve Division Equations Example 5: Real-World Example: Solve a Division Equation Lesson Menu

Solve one-step multiplication and division equations. coefficient formula Main Idea/Vocabulary

Key Concept

Solve Multiplication Equations Solve 39 = 3y. Check your solution. 39 = 3y Write the equation. Division Property of Equality 13 = y Simplify. Answer: The solution is 13. Check 39 = 3y Write the original equation. ?  39 = 3(13) Replace y with 13. 39 = 39 The sentence is true.  Example 1

Solve 21 = 3z. Check your solution. A. 63 B. 24 C. 8 D. 7 Example 1 CYP

Solve Multiplication Equations Solve −4z = 60. Check your solution. –4z = 60 Write the equation. Division Property of Equality z = –15 60 ÷ (–4) = –15 Answer: The solution is –15. Check –4z = 60 Write the original equation. ?  –4(–15) = 60 Replace z with –15. 60 = 60 The sentence is true.  Example 2

Solve 12x = 36. Check your solution. A. 3 B. 4 C. 24 D. 48 Example 2 CYP

Solve a Multiplication Equation MAIL Serena mailed 138 letters during the last 6 days. On average, how many letters did she mail each day? Example 3

Solve a Multiplication Equation 138 = 6ℓ Write the equation. Division Property of Equality 23 = ℓ 138 ÷ 6 = 23 Answer: Serena mailed 23 letters each day. Example 3

PIZZA The student council has $175 for a pizza party PIZZA The student council has $175 for a pizza party. Pizzas cost $7 each. How many pizzas can they buy? A. 22 pizzas B. 24 pizzas C. 25 pizzas D. 32 pizzas Example 3 CYP

Key Concept

Solve Division Equations Write the equation. Multiplication Property of Equality m = –20 –10 ● (2) = –20 Answer: The solution is –20. Example 4

Solve A. –1 B. 7 C. –7 D. –12 Example 4 CYP

Solve a Division Equation DISTANCE The distance d that Lance travels on his bike at a rate of 20 miles per hour for 4 hours is given by the equation How far did he ride? Write the equation. Multiplication Property of Equality d = 80 20 ● 4 = 80 Answer: Lance rode 80 miles. Example 5

DISTANCE Kevin is driving an average rate of 60 miles per hour DISTANCE Kevin is driving an average rate of 60 miles per hour. He has been driving for 2 hours. The distance he has traveled is given by the equation How far has Kevin driven? A. 120 miles B. 62 miles C. 60 miles D. 30 miles Example 5 CYP