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Page 1: 1.4 – Solving Absolute Value Equations

1.4 – Solving Absolute Value Equations

Page 2: 1.4 – Solving Absolute Value Equations

1.4 – Solving Absolute Value Equations

Absolute Value

Page 3: 1.4 – Solving Absolute Value Equations

1.4 – Solving Absolute Value Equations

Absolute Value–unit value only

Page 4: 1.4 – Solving Absolute Value Equations

1.4 – Solving Absolute Value Equations

Absolute Value–unit value only

Page 5: 1.4 – Solving Absolute Value Equations

1.4 – Solving Absolute Value Equations

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

Page 6: 1.4 – Solving Absolute Value Equations

1.4 – Solving Absolute Value Equations

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

ex. |-5|

Page 7: 1.4 – Solving Absolute Value Equations

1.4 – Solving Absolute Value Equations

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

ex. |-5| = 5

Page 8: 1.4 – Solving Absolute Value Equations

1.4 – Solving Absolute Value Equations

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

ex. |-5| = 5; |5| =

Page 9: 1.4 – Solving Absolute Value Equations

1.4 – Solving Absolute Value Equations

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

ex. |-5| = 5; |5| = 5

Example 1

Page 10: 1.4 – Solving Absolute Value Equations

1.4 – 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

Page 11: 1.4 – Solving Absolute Value Equations

1.4 – 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

1.4+|5y – 7|=

Page 12: 1.4 – Solving Absolute Value Equations

1.4 – 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

1.4+|5y – 7|=1.4

Page 13: 1.4 – Solving Absolute Value Equations

1.4 – 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

1.4+|5y – 7|=1.4 +

Page 14: 1.4 – Solving Absolute Value Equations

1.4 – 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

1.4+|5y – 7|=1.4 + |5

Page 15: 1.4 – Solving Absolute Value Equations

1.4 – 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

1.4+|5y – 7|=1.4 + |5(-3)

Page 16: 1.4 – Solving Absolute Value Equations

1.4 – 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

1.4+|5y – 7|=1.4 + |5(-3) – 7|

Page 17: 1.4 – Solving Absolute Value Equations

1.4 – 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

1.4+|5y – 7|=1.4 + |5(-3) – 7|

=1.4

Page 18: 1.4 – Solving Absolute Value Equations

1.4 – 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

1.4+|5y – 7|=1.4 + |5(-3) – 7|

=1.4 +

Page 19: 1.4 – Solving Absolute Value Equations

1.4 – 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

1.4+|5y – 7|=1.4 + |5(-3) – 7|

=1.4 + |-15

Page 20: 1.4 – Solving Absolute Value Equations

1.4 – 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=-31.4+|5y – 7|=1.4 + |5(-3) – 7|

=1.4 + |-15 – 7|

Page 21: 1.4 – Solving Absolute Value Equations

1.4 – 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=-31.4+|5y – 7|=1.4 + |5(-3) – 7|

=1.4 + |-15 – 7| =1.4

Page 22: 1.4 – Solving Absolute Value Equations

1.4 – 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=-31.4+|5y – 7|=1.4 + |5(-3) – 7|

=1.4 + |-15 – 7| =1.4 +

Page 23: 1.4 – Solving Absolute Value Equations

1.4 – 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=-31.4+|5y – 7|=1.4 + |5(-3) – 7|

=1.4 + |-15 – 7| =1.4 + |-22|

Page 24: 1.4 – Solving Absolute Value Equations

1.4 – 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=-31.4+|5y – 7|=1.4 + |5(-3) – 7|

=1.4 + |-15 – 7| =1.4 + |-22| =1.4

Page 25: 1.4 – Solving Absolute Value Equations

1.4 – 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=-31.4+|5y – 7|=1.4 + |5(-3) – 7|

=1.4 + |-15 – 7| =1.4 + |-22| =1.4 +

Page 26: 1.4 – Solving Absolute Value Equations

1.4 – 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=-31.4+|5y – 7|=1.4 + |5(-3) – 7|

=1.4 + |-15 – 7| =1.4 + |-22| =1.4 + 22

Page 27: 1.4 – Solving Absolute Value Equations

1.4 – 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=-31.4+|5y – 7|=1.4 + |5(-3) – 7|

=1.4 + |-15 – 7| =1.4 + |-22| =1.4 + 22 = 23.4

Page 28: 1.4 – Solving Absolute Value Equations

Example 2

Page 29: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

Page 30: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

Page 31: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

Page 32: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

x – 18 = 5

Page 33: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

x – 18 = 5

Page 34: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

x – 18 = 5

Page 35: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

x – 18 = 5 x – 18 = -5

Page 36: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

x – 18 = 5 x – 18 = -5

Page 37: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

x – 18 = 5 x – 18 = -5

+18 +18

Page 38: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

x – 18 = 5 x – 18 = -5

+18 +18

x = 23

Page 39: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

x – 18 = 5 x – 18 = -5

+18 +18 +18 +18

x = 23

Page 40: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

x – 18 = 5 x – 18 = -5

+18 +18 +18 +18

x = 23 x = 13

Page 41: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

x – 18 = 5 x – 18 = -5

+18 +18 +18 +18

x = 23 x = 13

Example 3

Page 42: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

x – 18 = 5 x – 18 = -5

+18 +18 +18 +18

x = 23 x = 13

Example 3 Solve |5x – 6| + 9 = 0.

Page 43: 1.4 – Solving Absolute Value Equations

Example 2 Solve |x – 18| = 5.

|x – 18| = 5

x – 18 = 5 x – 18 = -5

+18 +18 +18 +18

x = 23 x = 13

Example 3 Solve |5x – 6| + 9 = 0.

|5x – 6| + 9 = 0

Page 44: 1.4 – Solving Absolute Value Equations

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

x – 18 = 5 x – 18 = -5 +18 +18 +18 +18

x = 23 x = 13

Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0

-9 -9

Page 45: 1.4 – Solving Absolute Value Equations

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

x – 18 = 5 x – 18 = -5 +18 +18 +18 +18

x = 23 x = 13

Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0

-9 -9 |5x – 6| = -9

Page 46: 1.4 – Solving Absolute Value Equations

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

x – 18 = 5 x – 18 = -5 +18 +18 +18 +18

x = 23 x = 13

Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0

-9 -9 |5x – 6| = -9

Note:

Page 47: 1.4 – Solving Absolute Value Equations

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

x – 18 = 5 x – 18 = -5 +18 +18 +18 +18

x = 23 x = 13

Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0

-9 -9 |5x – 6| = -9

Note: Absolute value cannot equal a negative number!

Page 48: 1.4 – Solving Absolute Value Equations

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

x – 18 = 5 x – 18 = -5 +18 +18 +18 +18

x = 23 x = 13

Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0

-9 -9 |5x – 6| = -9

Note: Absolute value cannot equal a negative number!

Page 49: 1.4 – Solving Absolute Value Equations

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

x – 18 = 5 x – 18 = -5 +18 +18 +18 +18

x = 23 x = 13

Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0

-9 -9 |5x – 6| = -9

Note: Absolute value cannot equal a negative number!

Page 50: 1.4 – Solving Absolute Value Equations

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

x – 18 = 5 x – 18 = -5 +18 +18 +18 +18

x = 23 x = 13

Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0

-9 -9 |5x – 6| = -9

Note: Absolute value cannot equal a negative number!

Page 51: 1.4 – Solving Absolute Value Equations

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

x – 18 = 5 x – 18 = -5 +18 +18 +18 +18

x = 23 x = 13

Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0

-9 -9 |5x – 6| = -9

Note: Absolute value cannot equal a negative number!

Page 52: 1.4 – Solving Absolute Value Equations

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

x – 18 = 5 x – 18 = -5 +18 +18 +18 +18

x = 23 x = 13

Example 3 Solve |5x – 6| + 9 = 0. |5x – 6| + 9 = 0

-9 -9 |5x – 6| = -9

Note: Absolute value cannot equal a negative number!

x = Ø

Page 53: 1.4 – Solving Absolute Value Equations

Example 4

Page 54: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

Page 55: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

Page 56: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

Page 57: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2

Page 58: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2

Page 59: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

Page 60: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

Page 61: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

x + 6

Page 62: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

x + 6 =

Page 63: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

x + 6 = -3x

Page 64: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

x + 6 = -3x –

Page 65: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

x + 6 = -3x – (-2)

Page 66: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

x + 6 = -3x – (-2)

x + 6 = 3x – 2

Page 67: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6

Page 68: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x

Page 69: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2

Page 70: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2

-3x -3x

Page 71: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2

-3x -3x

-2x + 6 = -2

Page 72: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2.

|x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2)

x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2

-3x -3x

-2x + 6 = -2

- 6 -6

Page 73: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x -2x + 6 = -2

- 6 -6-2x

Page 74: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x -2x + 6 = -2

- 6 -6 -2x = -8

Page 75: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x -2x + 6 = -2

- 6 -6 -2x = -8 -2 -2

Page 76: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x -2x + 6 = -2

- 6 -6 -2x = -8 -2 -2 x = 4

Page 77: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2

- 6 -6 -2x = -8 -2 -2 x = 4

Page 78: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x

- 6 -6 -2x = -8 -2 -2 x = 4

Page 79: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6

- 6 -6 -2x = -8 -2 -2 x = 4

Page 80: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2

- 6 -6 -2x = -8 -2 -2 x = 4

Page 81: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2

- 6 -6 - 6 -6-2x = -8 -2 -2 x = 4

Page 82: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2

- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 x = 4

Page 83: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2

- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4

Page 84: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2

- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4 OR x = -1

Page 85: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2

- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4 OR x = -1

Page 86: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2

- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4 OR x = -1

Page 87: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2

- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4 OR x = -1

Page 88: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2

- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4 OR x = -1

Page 89: 1.4 – Solving Absolute Value Equations

Example 4 Solve |x + 6| = 3x – 2. |x + 6| = 3x – 2

x + 6 = 3x – 2 x + 6 = -(3x – 2) x + 6 = -3x – (-2)

x + 6 = 3x – 2 x + 6 = -3x + 2-3x -3x +3x +3x-2x + 6 = -2 4x + 6 = 2

- 6 -6 - 6 -6-2x = -8 4x = -4 -2 -2 4 4x = 4 OR x = -1


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Solving Absolute Value Linear Equations and Inequalities Documents
1.4 Solving Linear Systems
1.4 Solving Linear Systems Documents
Lesson 1.3 Ext - Solving Absolute Value Equations
Lesson 1.3 Ext - Solving Absolute Value Equations Documents
Solving Absolute Value Equations and Inequalities
Solving Absolute Value Equations and Inequalities Documents
Solving Absolute Value Equations and Inequalities on a ... · Absolute value has often been taught procedurally. Many students struggle with solving absolute value equations and inequalities
Solving Absolute Value Equations and Inequalities on a ... · Absolute value has often been taught procedurally. Many students struggle with solving absolute value equations and inequalities Documents
3.6 Solving Absolute Value Equations and Inequalities
3.6 Solving Absolute Value Equations and Inequalities Documents
ABSOLUTE VALUE EQUATIONS AND INEQUALITIES...2018/05/01  · ABSOLUTE VALUE EQUATIONS AND INEQUALITIES 09 Solving an absolute value inequality problem is similar to solving an absolute
ABSOLUTE VALUE EQUATIONS AND INEQUALITIES...2018/05/01  · ABSOLUTE VALUE EQUATIONS AND INEQUALITIES 09 Solving an absolute value inequality problem is similar to solving an absolute Documents
Solving Multi-Step Equationsmaggart.weebly.com/uploads/5/4/0/4/54045591/hsok_alg1_pe_01_04… · Solving Multi-Step Equations Section 1.4 Solving Multi-Step Equations 23 1.4 EEssential
Solving Multi-Step Equationsmaggart.weebly.com/uploads/5/4/0/4/54045591/hsok_alg1_pe_01_04… · Solving Multi-Step Equations Section 1.4 Solving Multi-Step Equations 23 1.4 EEssential Documents
Chapter 6: Solving Linear Inequalities - manualmath.infomanualmath.info/downloads/chap06_bk.pdf · Solving Linear Inequalities ... Solving Open Sentences Involving Absolute Value
Chapter 6: Solving Linear Inequalities - manualmath.infomanualmath.info/downloads/chap06_bk.pdf · Solving Linear Inequalities ... Solving Open Sentences Involving Absolute Value Documents
Solving absolute values
Solving absolute values Education
Solving Absolute Value Inequalities October 8, 2015 SWBAT: Solve Absolute Value Inequalities
Solving Absolute Value Inequalities October 8, 2015 SWBAT: Solve Absolute Value Inequalities Documents
Chapter 1.4: Solving Absolute Value Inequalities · 2018. 1. 15. · Toexpress(absolute(value(inequalities(without(using(absolute(values,(we(can(rewrite(as(the(following:(WHENSOLVINGABSOLUTEVALUEINEQUALITIES,(1
Chapter 1.4: Solving Absolute Value Inequalities · 2018. 1. 15. · Toexpress(absolute(value(inequalities(without(using(absolute(values,(we(can(rewrite(as(the(following:(WHENSOLVINGABSOLUTEVALUEINEQUALITIES,(1 Documents
Absolute Value Equations & Inequalities EQ: How does solving an absolute value equation/inequality compare to solving a linear equation/inequality?
Absolute Value Equations & Inequalities EQ: How does solving an absolute value equation/inequality compare to solving a linear equation/inequality? Documents