Warm Up

1
Warm Up
Solve.

• 1. Alw for w
• 2.
• 3.

• 4. -3v 6 4v 1
• 5. 3(2x 4) 4x 4

2
Answers
3
Lesson 3.4 Solving Absolute Value Equations1.1.3
4
Exploration

• Determine the solution for each equation.

4, -4
9, -9
No Solution
5
What did you notice?

• Summarize what you noticed from the previous
  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)

• Can you think of a situation where there would
  be one solution?

When the absolute value is equal to zero.
6

• Steps for solving absolute value equations.

• Need to isolate the absolute value expression
• Undo addition or subtraction outside of absolute
  value.
• Undo multiplication or division outside of
  absolute value.
• Set expression inside absolute value equal to the
  given value and its opposite.
• 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

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Examples

• Solving basic absolute value equations

8
Examples continued
1, 5
-24, 8
9
More Examples

• Solving absolute value equations when there are
  terms outside the symbols

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Even More Examples
0, 8/3
-2, 6
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Summary/Reflection

• 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?

Homework
3.4 worksheet