 # Absolute Value Equations November 3, 2014 Page 30-31 in Notes.

## Presentation on theme: "Absolute Value Equations November 3, 2014 Page 30-31 in Notes."— Presentation transcript:

Absolute Value Equations November 3, 2014 Page 30-31 in Notes

Warm-Up – pg. 30 What is absolute value? Solve: – |-2| – |3|

Objective [6E*] solve absolute value linear equations

Solving Absolute Value Equations Title – page 31

Essential Question How do I solve absolute value equations algebraically?

Steps: Isolate the absolute value expression. Set up 2 linear equations and solve. – Positive Case or Negative Case Check both answers back in the original equation. (They may not work!)

Example 1 |x + 2| = 7 x + 2 = 7or x + 2 = -7 Already isolated -2 -2 x = -9 -2 -2 x = 5or |x + 2| = 7 |(5) + 2| = 7 |7| = 7 7 = 7 |x + 2| = 7 |(-9) + 2| = 7 |-7| = 7 7 = 7 Check: {-9, 5}

Example 2 |3x – 6| – 5 = -7 +5 +5 |3x – 6| = -2 3x – 6 = -2 or 3x – 6 = 2 +6 +6 3x = 4 x=4/3or +6 +6 3x = 8 x = 8/3 Check: |3(4/3) – 6| – 5 = -7 |4 - 6| = -2 |-2| = -2 2 = -2 |3(8/3) – 6| – 5 = -7 |8 - 6| = -2 |2| = -2 2 = -2 No Solution

On Your Own #1 (Left Side) 5|y – 2| = 30 I’ll even get you started! Divide both sides of the equal sign by 5… |y – 2|= 6

On Your Own #2 (Left Side) 10 – 10|-8k + 4| = 10 I’ll even get you started! Subtract 10 from both sides, then divide by -10.

Answer…{1/2} There is only one solution! Were you correct?

Activity Each pair will receive an equation to solve. Find the correct solution cards. Find the other pair that has the same solutions as you and check them with me. Trade cards with another pair (not the ones you just matched with) and repeat.

Absolute Value Equations Homework 1.{#, #} 5. 2. or {#} 6. 3. or No Solution7. 4. 8. 1. Write problem and show work

Homework Problems – Due Tuesday 1.|3x – 1| + 5 = 3 2.5|c – 2| = 30 3.|-2x – 1| = 11 4.|p + 8| – 5 = 2 5.-8|3 – 8k| = 40 6.10|7x + 3| = 0

Reflection Exit Ticket: Explain how an absolute value equation can have 2 solutions.

Download ppt "Absolute Value Equations November 3, 2014 Page 30-31 in Notes."

Similar presentations