Solving multi-step problems involving absolute value linear equations in one variable

Solve the absolute value equation |5x + 1| = 9.

• x = 8/5, -2

• x = 7/5, -2

• x = 9/5, -2

• x = -8/5, 2

Solve the following equation:

3| −8x| + 8 = 80

• {−7/3, 7/3}

• {−3, 3}

• {11/3, −11/3}

• No Solution

Solve the absolute value equation |3x + 6| = 12.

• x = 2 or x = -6

• x = 3 or x = -4

• x = 1 or x = -5

• x = 4 or x = -3

Solve Each Equation

• {-3, 3}

• (-2, 2}

• {-14, 0 }

• No Solution

Solve.
|x| = 5

• -5
• 5
• 5 and -5
• no solution

• No solution

Solve.

 $2\left|x-25\right|+4\ =\ 12$  

• x = 29

• x = 17, x = 29

• x = 21, x = 29

• No Solution

Solve the absolute value equation: |3x + 2| = 10

• x < -2/3 or x > -2/3

• x > -2/3 or x = 2/3

• x < -2/3 or x = 2/3

• x < -2/3 or x > 2/3

Solve for x.

|x + 8| − 5 = 2

• x = -1 or x = -15

• x = -1 or x = -5

• x = -15 or x =15

• No Solution

• x = -4 and 16

• x = 4 and -16

• x = -4 and -16

• x = 4 and 16