Integers and Absolute Value Basics

In this lesson, students will learn about integers, positive and negative numbers, absolute value, and how to represent them on a number line. The content covers key vocabulary and sample problems to reinforce understanding. With clear visual aids and explanations, students will grasp the concept of integers and their properties.

• Integers
• Absolute value
• Number line
• Positive numbers
• Negative numbers

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Uploaded on Mar 04, 2025 | 0 Views

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Presentation Transcript

1. 3-7 Absolute Value Equations and Inequalities

2. To solve absolute value equations and inequalities isolate the absolute value expression, if necessary Then write an equivalent pair of linear equations

3. Problem 1: Solving an Absolute Value Equation What are the solutions of ? + 2 = 9 Graph and check the solutions

4. What are the solutions of ? 5 = 2 Graph and check the solutions

5. Solving Absolute Value Expressions To solve an equation in the form of ? = ?, solve A = ? and ? = ? 2? 5 = 13 EXAMPLE:

6. Problem 2: Solving an Absolute Value Equation 40 = 100 20?

7. Remember Distance is always nonnegative, so any equation that states the absolute value of an expression is negative has no solution EXAMPLE: 3 2? + 9 + 12 = 10

8. Solving Absolute Value Inequalities Less TH(AND)(< & ) ? < ? ? < ? < ? GREAT(OR) (> & ) ? > ? ? < ? ?? ? > ?

9. Problem 4 and 5: Solving an Absolute Value Inequality What are the solutions and graph of 8? 24

10. What are the solutions and graph of ? 1 < 2

11. What are the solutions and graph of ? 1 > 2

12. What are the solutions and graph of ? 213 5