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1. Unit 3 Day 4: Solving Multi-Step Equations Objectives: Solve equations involving more than one operation Solve equations involving consecutive integers.

2. Solve Multi-Step Equations • Equations that require more than one step to solve are called multi-step equations. • To solve these equations, we must undo each operation by working backward.

3. Example 1: Solve Multi-Step Equations • Solve each equation. Check your solution. a. b.

4. Guided Practice • Solve each equation. Check your solution. 1A. 1B.

5. Real-World Example 2 • SHOPPING Hiroshi is buying a pair of water skis that are on sale for of the original price. After he uses a \$25 gift certificate, the total cost before taxes is \$115. What was the original price of the skis? Write an equation for the problem. Then solve the equation.

6. Guided Practice 2A • RETAIL A music store has sold of their hip-hop CDs, but 10 were returned. Now the store has 62 hip-hop CDs. How many were there originally?

7. Guided Practice 2B • READING Len read of a graphic novel over the weekend. Monday, he read 22 more pages. If he has read 220 pages, how many pages does the book have?

8. Solve Consecutive Integer Problems • Consecutive integers are integers in counting order, such as 4, 5, and 6 or , , and . • Counting by two will result in consecutive even integers if the starting integer n is even and consecutive odd integers if the starting integer n is odd.

9. Concept Summary:Consecutive Integers

10. Example 3: Solve a Consecutive Integer Problem • NUMBER THEORY Write an equation for the following problem. Then solve the equation and answer the problem. Find three consecutive odd integers with a sum of -51.

11. Guided Practice 3 • Write an equation for the following problem. Then solve the equation and answer the problem. Find three consecutive integers with a sum of 21.

12. Check Your UnderstandingExample 1 • Solve each equation. Check your solution. 1. 4. 2. 5. 3. 6.

13. Check Your UnderstandingExample 1 ANSWERS • Solve each equation. Check your solution. 1. 4. -5 2. 5. -3 61 3. 6. -55 62

14. Check Your Understanding Example 2 • NUMBER THEORY Twelve decreased by twice a number equals -34. Write an equation for this situation and then find the number. • BASEBALL Among the career home run leaders for Major League Baseball, Hank Aaron has 175 fewer than twice the number that Dave Winfield has. Hank Aaron hit 755 home runs. Write an equation for this situation. How many home runs did Dave Winfield hit in his career?

15. Check Your UnderstandingExample 2 ANSWERS • NUMBER THEORY Twelve decreased by twice a number equals -34. Write an equation for this situation and then find the number. • BASEBALL Among he career home run leaders for Major League Baseball, Hank Aaron has 175 fewer than twice the number that Dave Winfield has. Hank Aaron hit 755 home runs. Write an equation for this situation. How many home runs did Dave Winfield hit in his career?

16. Check Your Understanding Example 3 • Write an equation and solve each problem. • Find three consecutive odd integers with a sum of 75. • Find three consecutive integers with a sum of -36.

17. Check Your Understanding Example 3ANSWERS • Write an equation and solve each problem. • Find three consecutive odd integers with a sum of 75. • Find three consecutive integers with a sum of -36.