learning targets i will be able to… *solve absolute value equations *decide if an absolute value...

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13.3 SOLVING ABSOLUTE VALUE EQUATIONS Learning Targets I will be able to… *Solve absolute value equations *Decide if an absolute value equation has no solutions or infinite solutions

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Page 1: Learning Targets I will be able to… *Solve absolute value equations *Decide if an absolute value equation has no solutions or infinite solutions

13.3SOLVING

ABSOLUTE VALUE

EQUATIONS

Learning Targets

I will be able to…

*Solve absolute value equations

*Decide if an absolute value equation has

no solutions or infinite solutions

Page 2: Learning Targets I will be able to… *Solve absolute value equations *Decide if an absolute value equation has no solutions or infinite solutions

ABSOLUTE VALUE

The distance between x and 0

= 3

The distance between x and 0 is 3 so x = 3 and x = -3

3 3

Page 3: Learning Targets I will be able to… *Solve absolute value equations *Decide if an absolute value equation has no solutions or infinite solutions

SOLVE AND GRAPH:

-6

0

Remember: The quantity inside the absolute value could be positive or negative.

Page 4: Learning Targets I will be able to… *Solve absolute value equations *Decide if an absolute value equation has no solutions or infinite solutions

DEFINITION OF ABSOLUTE VALUE

=

Page 5: Learning Targets I will be able to… *Solve absolute value equations *Decide if an absolute value equation has no solutions or infinite solutions

SOLVE:

x - 4 = 6 and -(x - 4) = 6 -x + 4 = 6

-x = 2 x = 10 and x =-2

This means that 10 and -2 are 6 units away from 4.

6 6

Page 6: Learning Targets I will be able to… *Solve absolute value equations *Decide if an absolute value equation has no solutions or infinite solutions

SOLVE: 3

x + 7 = 3 and -(x + 7) = 3 -x - 7 = 3

-x = 10 x = -4 and x = -10

Meaning: -10 and -4 are 3 units away from -7.

3 3

Page 7: Learning Targets I will be able to… *Solve absolute value equations *Decide if an absolute value equation has no solutions or infinite solutions

SOLVE: 312

Page 8: Learning Targets I will be able to… *Solve absolute value equations *Decide if an absolute value equation has no solutions or infinite solutions

SOLVE: 32

Why is the absolute value of a number never negative?

Page 9: Learning Targets I will be able to… *Solve absolute value equations *Decide if an absolute value equation has no solutions or infinite solutions

SOLVE: 6

Page 10: Learning Targets I will be able to… *Solve absolute value equations *Decide if an absolute value equation has no solutions or infinite solutions

HOMEWORK

Page 596 #6, 20, 27Page 605

#1-3, 5-7, 9-12, 15, 18

Teacher: "Who can tell me what 7 times 6 is?" Student: "It's 42!" Teacher: "Very good! - And who can tell me what 6 times 7 is?" Same student: "It's 24!"