2. Lesson Menu Main Idea and New Vocabulary NGSSS 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 Five-Minute Check

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

4. NGSSS MA.7.A.3.3 Formulate and use different strategies to solve one-step and two-step linear equations, including equations with rational coefficients.

5. Key Concept

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

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

8. Example 2 Solve −4z = 60. Check your solution. Solve Multiplication Equations Answer: The solution is –15. –4z=60Write the equation. z=–1560 ÷ (–4) = –15 –4z=60Write the original equation. ? –4(–15)=60Replace z with –15. 60=60The sentence is true. Division Property of Equality Check

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

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

11. Example 3 Answer: Serena mailed 23 letters each day. 138=6ℓWrite the equation. 23=ℓ138 ÷ 6 = 23 Division Property of Equality Solve a Multiplication Equation

12. Example 3 CYP 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

13. Key Concept

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

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

16. Example 5 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? Solve a Division Equation d=80 20 ● 4 = 80 Write the equation. Multiplication Property of Equality Answer: Lance rode 80 miles.

17. Example 5 CYP 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

18. Solve 5x = 35. Check your solution. Five Minute Check 1 A.7 B.30 C.40 D.175

19. Solve −8z = 48. Check your solution. Five Minute Check 2 A.–7 B.–6 C.6 D.8

20. Five Minute Check 3 Solve = 7. Check your solution. A. B. C.3 D.28

21. Five Minute Check 4 Solve. Check your solution. A.45 B.–45 C. D.

22. Gina wants to buy party favors that cost $4 each. She has a total of $36 to spend. How many party favors can she buy? Five Minute Check 5 A.4x = 36; 8 party favors B.4x = 36; 9 party favors C.36 = x – 4; 40 party favors D.36 = x + 4; 32 party favors

23. A package of 8 juice bottles costs $12. Find the price per bottle. Five Minute Check 6 A.$0.67 B.$1.50 C.$4.00 D.$9.60