Example 1: Solve a Multiplication Equation Main Idea Example 1: Solve a Multiplication Equation Key Concept: Division Property of Equality Key Concept: Multiplication Property of Equality Example 2: Solve a Division Equation Example 3: Real-World Example Lesson Menu
Solve equations by using the Division and Multiplication Properties of Equality. Main Idea/Vocabulary
Solve a Multiplication Equation Solve 7z = –49. 7z = –49 Write the equation. z = –7 7 ÷ 7 = 1 and –49 ÷ 7 = –7 Divide each side of the equation by 7. Answer: z = –7 Example 1
Solve –40 = –8r. A. –36 B. –5 C. 5 D. 320 Example 1 CYP
Key Concept 2
Key Concept 2a
Solve a Division Equation Write the equation. Multiplication Property of Equality –6 • 9 = –54 Answer: c = –54 Example 2
Solve = 2. ___ n –11 A. –22 B. –9 C. 9 D. 22 Example 2 CYP
Division Property of Equality TRAVEL Carlos lives 4 times the distance Jeremy lives from school. Carlos lives 9 miles from school. How far does Jeremy live from school? Let d represent the distance that Jeremy lives from school. So, 9 = 4d. 9 = 4d Write the equation. 2.25 = d 9 ÷ 4 = 2.25 Division Property of Equality Answer: Jeremy lives 2.25 miles from school. Example 3
BOUNCES The first bounce of a ball is 2 BOUNCES The first bounce of a ball is 2.4 times higher than the second bounce. If the second bounce was 20 inches high, what was the height of the first bounce? A. 8.3 in. B. 22.4 in. C. 40 in. D. 48 in. Example 3 CYP