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

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 difference is multiplied by 5. The result is 75. What is the number?

- Step 1: Undo addition and subtraction
- Step 2: Undo multiplication and division.
- Step 3: Check

1. difference is multiplied by 5. The result is 75. What is the number?5q – 13 = 37

2.

Ex. 2: Solve each equation.3. difference is multiplied by 5. The result is 75. What is the number?

4. 0.2n + 3 = 8.6

5. 3.1y – 1.5 = 5.32 difference is multiplied by 5. The result is 75. What is the number?

6. 18 = 5p + 3

Ex. 3: Write an equation and solve each problem. difference is multiplied by 5. The result is 75. What is the number?

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

2. Find three consecutive integers whose sum is 42. difference is multiplied by 5. The result is 75. What is the number?

3. Find three consecutive even integers whose sum is -30. difference is multiplied by 5. The result is 75. What is the number?

Summary difference is multiplied by 5. The result is 75. What is the number?

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

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