1. Lesson 3.4- Solving Multi-Step Equations, pg. 142
Objectives:
To solve problems by working backward.
To solve equations involving more than one operation.

2. Vocabulary
Multi-Step Equations: equations with more than one operation.
Consecutive Integers: integers in counting order.
Consecutive integers: 7, 8, 9,…
Consecutive odd integers: 5, 7, 9, 11..
Consecutive even integers: 10, 12, 14, 16…
Number theory: the study of numbers and the relationships between them.

3. Ex. 1: Solve each problem by working backwards.
A number multiplied by seven, and then the product is added to 13. The result is 55. What is the number?
The English alphabet contains 2 more than twice as many letters as the Hawaiian alphabet. How many letters are there in the Hawaiian alphabet?

4. 3. Nine is subtracted from a number, and then the difference is multiplied by 5. The result is 75. What is the number?

5. Steps for Solving Multi-Step Equations
Step 1: Undo addition and subtraction
Step 2: Undo multiplication and division.
Step 3: Check

6. Ex. 2: Solve each equation.2.

7. 3.
n + 3 = 8.6

8. y – 1.5 = 5.32
= 5p + 3

9. Ex. 3: Write an equation and solve each problem.
Twelve decreased by twice a number equals Find the number.

10. 2. Find three consecutive integers whose sum is 42.

11. 3. Find three consecutive even integers whose sum is -30.

12. Summary Steps for Solving Multi-Step Equations
Step 1: Undo addition or subtraction.
Step 2: Undo multiplication or division.
Step 3: Check.
Consecutive integers: n, n+1, n+2,…
Consecutive odd integers: n, n+2, n+4,…
Consecutive even integers: n, n+2, n+4,…
NBA #18, pg. 146, problems even