Example 1. Solving absolute value equations: Steps:

|x + 3| = 5

Example 2.

Solve |8x + 3| = 19

Example 3. Solve some more complicated equations

1. |x - 2| - 3 = 4 (b) 2|3x + 2| - 1 = 5

(c) |x - 2| + 7 = 12

Exit Ticket. Show All Work.

1. Solve |2x + 3| = 9

1. Solve the following equations

(a) 3|5x + 2| - 4 = 5 (b) | 4 - 3x| - x = 8

(c) x5-8=-7

part 2-

Directions: For questions # 1 through 6 solve each inequality and graph on a number line. +8 2(x-2) 3. -3(2x + 4) > 0 -x+3 -11 . Determine the largest integer that makes true 8. Which number is in the solution set of the inequality 5x+3 > 38? (1) 5 (2) 6 (3) 7 (4) 8Solve for the given variable. 5(x+1 -2x=2(3+x 1. = KC 2