Download presentation

Presentation is loading. Please wait.

Published byRosalyn Williamson Modified over 8 years ago

1
**Solving Open Sentences Involving Absolute Value**

Lesson 6-5 Solving Open Sentences Involving Absolute Value

2
**Click the mouse button or press the Space Bar to display the answers.**

Transparency 5

3
Transparency 5a

4
**Objectives Solve absolute value equations**

Solve absolute value inequalities

5
Vocabulary none

6
**Steps for Solving Equations**

Step 1: Use the Distributive Property to remove the grouping symbols, () or [] Step 2: Simplify the expressions on each side of the equal sign “=” by combining like terms (variable and #’s) Step 3: Use the Addition and /or Subtraction Properties of Equality to get the variables on one side of the equal sign and the numbers without variables on the other side of the equals sign Step 4: Simplify the expressions on each side of the equals sign by combining like terms Step 5: Use the Multiplication and/or Division Properties of Equalities to solve for the variable

7
**Example 1 Method 1 Graphing**

means that the distance between b and –6 is 5 units. To find b on the number line, start at –6 and move 5 units in either direction. The distance from –6 to –11 is 5 units. The distance from –6 to –1 is 5 units. Answer: The solution set is

8
**Example 1 cont Method 2 Compound Sentence Write as or Case 1 Case 2**

Original inequality Subtract 6 from each side. Simplify. Answer: The solution set is

9
Example 2 Write an equation involving the absolute value for the graph. Find the point that is the same distance from –4 as the distance from 6. The midpoint between –4 and 6 is 1. The distance from 1 to –4 is 5 units. The distance from 1 to 6 is 5 units. So, an equation is .

10
Example 2 cont Answer: Check Substitute –4 and 6 into

11
**Example 3 Then graph the solution set. Write as and Case 1 Case 2**

Original inequality Add 3 to each side. Simplify. Answer: The solution set is

12
**Example 4 Then graph the solution set. Write as or Case 1 Case 2**

Original inequality Add 3 to each side. Simplify. Divide each side by 3. Simplify. Answer: The solution set is

13
**Summary & Homework Summary: Homework: If |x| = n, then x = -n or x = n**

If |x| < n, then x = -n or x = n (inside) If |x| > n, then x = -n or x = n (outside) Homework: none n -n n -n n -n

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google