1. Warm Up 1. A=lw for w 2.3. Solve. 4. -3v + 6 = 4v – 1 5. 3(2x – 4) = 4x + 4

2. Answers

3. Lesson 3.4 Solving Absolute Value Equations 1.1.3

4. Exploration Determine the solution for each equation. Determine the solution for each equation. 4,4 4, -4 9,9 9, -9 No Solution

5. What did you notice? Summarize what you noticed from the previous solutions. Summarize what you noticed from the previous solutions. When the absolute value is equal to zero. When a variable is inside an absolute value, there are two solutions. When a variable is inside an absolute value, there are two solutions. When an absolute value is set equal to a negative number, there is no solution. (this is important to remember) When an absolute value is set equal to a negative number, there is no solution. (this is important to remember) Can you think of a situation where there would be one solution? Can you think of a situation where there would be one solution?

6. Steps for solving absolute value equations. Steps for solving absolute value equations. **Need to isolate the absolute value expression** 1) Undo addition or subtraction outside of absolute value. 2) Undo multiplication or division outside of absolute value. 3) Set expression inside absolute value equal to the given value and its opposite. 4) Solve for variable using steps for solving equations. 1.Distribute 2.Combine Like Terms 3.Move Variable to One Side 4.Undo + or – 5.Undo × or ÷

7. Examples Solving basic absolute value equations Solving basic absolute value equations

8. Examples continued -24, 8 1, 5

9. More Examples Solving absolute value equations when there are terms outside the symbols Solving absolute value equations when there are terms outside the symbols

10. Even More Examples -2, 6 0, 8/3

11. Summary/Reflection What is the difference between solving a regular equation and solving an equation where the variable is in an absolute value? What is the difference between solving a regular equation and solving an equation where the variable is in an absolute value? How can you remember that absolute value equations have two solutions? How can you remember that absolute value equations have two solutions? Homework 3.4 worksheet