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WARM-UP PROBLEMS (over Lesson 3-2) Solve x + 31 = 53. A. 12 B. 22 C. 74 D. 84 0% 0% A B 1. 2. 3. 4. 0% C A B C D 0% D (over Lesson 3-2) Solve –5 + y = 13. A. 18 B. 8 C. –8 D. –18 0% 0% A B 1. 2. 3. 4. 0% C A B C D 0% D (over Lesson 3-2) Solve r – 7.2 = 22.8. A. 3.2 B. 15.6 C. 30 D. 164 0% 0% A B 1. 2. 3. 4. 0% C A B C D 0% D Main Idea and Vocabulary Key Concept: Division Property of Equality Example 1: Solve Multiplication Equations Example 2: Solve Multiplication Equations • Solve multiplication equations (2.8.8E) (M7.D.2.1). • Coefficient – the numerical factor for a multiplication expression; EXAMPLE: the coefficient of x in the expression 4x is 4. • What is the relationship between multiplication and division? They are inverse operations. • How is the relationship between multiplication and division like the relationship between addition and subtraction? They undo each other. Give some examples to help explain your reasoning. How are addition and subtraction used to solve equations? How might multiplication and division be used to solve equations? To solve addition equations, you subtract; To solve subtraction equations, you add. So to solve multiplication equations, you divide; to solve division equations, you multiply. What division facts are related to the multiplication problem 3 x 4 = 12? 12 3 = 4; 12 4 = 3 BrainPOP: Solving Equations Solve Multiplication Equations Solve 39 = 3y. Check your solution. 39 = 3y Write the equation. Divide each side of the equation by 3. 13 = y 39 ÷ 3 = 13 Answer: The solution is 13. Check 39 =? 3y 13 = 3(13) 39 = 39 Write the original equation. Replace y with 13. Solve 6m = 42. Check your solution. A. 3 B. 7 C. 36 D. 48 0% 0% A B 1. 2. 3. 4. 0% C A B C D 0% D Solve Multiplication Equations Solve –4z = 60. Check your solution. –4z = 60 Write the equation. Divide each side of the equation by –4. 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 Solve –64 = –16b. Check your solution. A. –48 B. –4 C. 4 D. 80 0% 0% A B 1. 2. 3. 4. 5. 0% C A B C D D 0% D REVIEW Solve each equation. 3 1. 6c = 18 5 2. 15 = 3z 3. -8x = 24 -3 4. -9r = -36 4 End of the Lesson Five-Minute Check (over Lesson 3–2) Image Bank Math Tools Solving Equations Using Models Perimeter Solving Equations Two-Step Equations