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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

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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.

- 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.

- 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?

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

1. 5q – 13 = 37

2.

3.

4. 0.2n + 3 = 8.6

5. 3.1y – 1.5 = 5.32

6. 18 = 5p + 3

- 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.

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