# Lesson 3.4- Solving Multi-Step Equations, pg. 142 - PowerPoint PPT Presentation

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Lesson 3.4- Solving Multi-Step Equations, pg. 142. Objectives : To solve problems by working backward. To solve equations involving more than one operation. Vocabulary. Multi-Step Equations : equations with more than one operation. Consecutive Integers : integers in counting order.

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Lesson 3.4- Solving Multi-Step Equations, pg. 142

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## Lesson 3.4- Solving Multi-Step Equations, pg. 142

Objectives:

To solve problems by working backward.

To solve equations involving more than one operation.

### 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.

### 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?

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

### Steps for Solving Multi-Step Equations

• Step 1: Undo addition and subtraction

• Step 2: Undo multiplication and division.

• Step 3: Check

1. 5q – 13 = 37

2.

### Ex. 2: Solve each equation.

3.

4. 0.2n + 3 = 8.6

5. 3.1y – 1.5 = 5.32

6. 18 = 5p + 3

### Ex. 3: Write an equation and solve each problem.

• Twelve decreased by twice a number equals -34. Find the number.

2. Find three consecutive integers whose sum is 42.

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

### 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 16-46 even