2.5 – Solving Absolute Value Equations

Absolute Value

2.5 – Solving Absolute Value Equations Absolute Value–unit value only

2.5 – Solving Absolute Value Equations Absolute Value–unit value only

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs)

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5|

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| =

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y=-3

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 +

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5(-3)

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5(-3) – 7|

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5(-3) – 7| =1.4

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5(-3) – 7| =1.4 +

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7|

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4 +

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4 + |-22|

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4 + |-22| =1.4

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4 + |-22| =1.4 +

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4 + |-22| =

2.5 – Solving Absolute Value Equations Absolute Value–unit value only (w/o signs) ex. |-5| = 5; |5| = 5 Example 1 Evaluate 1.4+|5y – 7| if y= |5y – 7|=1.4 + |5(-3) – 7| =1.4 + |-15 – 7| =1.4 + |-22| = = 23.4

Example 2

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

Example 2 Solve |x – 18| = 5. |x – 18| = 5

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = -5

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 =

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23x = 13

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23x = 13 Example 3

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0.

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note:

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note: Absolute value cannot equal a negative number!

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note: Absolute value cannot equal a negative number!

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note: Absolute value cannot equal a negative number!

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note: Absolute value cannot equal a negative number!

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note: Absolute value cannot equal a negative number!

Example 2 Solve |x – 18| = 5. |x – 18| = 5 x – 18 = 5x – 18 = x = 23x = 13 Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0 -9 |5x – 6| = -9 Note: Absolute value cannot equal a negative number! x = Ø

Example 4 Solve 2|x| – 3 = 7

+3 +3

Example 4 Solve 2|x| – 3 = |x| = 10

Example 4 Solve 2|x| – 3 = |x| =

Example 4 Solve 2|x| – 3 = |x| = |x| = 5

Example 4 Solve 2|x| – 3 = |x| = |x| = 5 x = 5, x = -5