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Do Now
Solve each equation in your lecture
notebook. Without talking.
1) 2n – 5 =8n + 7
2) 9 + 5a = 2a + 9
Solving Absolute Value Equations
Objective: Students will be able to
demonstrate their understanding of
absolute value by correctly solving 4
absolute value equations at a basic level
of proficiency.
Standard 3.0 Students solve equations
and inequalities involving absolute values.
What is Absolute Value?
•
•
•
The absolute value of a number is the
number of units it is from zero on the
number line.
5 and -5 have the same absolute value.
The symbol |x| represents the absolute value
of the number x.
Example 1

Solve 5 w  3  7
Example 2

Solve
x
2
1  11
Example 3

Solve
2x  5  7
Example 4

Solve
2 x  25  23
Example 5

Solve 3 x  1
2
 2
Example 6

Solve
3 x  2  5x  8
Give it a try! 
1.) Solve | x  2 |  5
2.) Solve | 2x  7 |  5  4
3.) Solve 4 x  2  6
4.) Solve 5 x  5  7
Give it a try! 
5.) Solve
x
3
4 1
6.) Solve 3 y  12  6
7.) Solve 4 x  5  3 x  5
Exit Slip
Solve each equation. Put a box around
your answer.
1) |7x + 3| + 2 = 33
2) |3x + 8| = 7
3) 6 + |3x – 4| = 8
4) |¾ x + 6| = 30

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