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

How many solutions does the following equation have?

3| x + 3 | -3 = -3

• One

• Two

• Three

• Zero

Solve the absolute value equation: |7x - 2| = 4

• x = 1, x = -2/7

• x = 4, x = -1/7

• x = 2/7, x = -1

• x = 1/7, x = -4

What is the first step when solving an absolute value equation?

• Eliminate the y

• Switch x and y

• Eliminate any outside terms

• Set everything = to 0

what is an absolute value equation?

• equations where the variable is within an absolute value operator

• equations where the variable is without an absolute value operator

• when the equations are always positive

• when the equations are always negative

Solve

 $\left|\frac{x}{10}\right|=2$  

• x= 12

• x=0  or x=12

• x= -20  or x=20

• x= -8

• -50, 20

• -45, 30

• 5, 25

• 0, 35

solve for t.

|t - 8| + 4 = 11

• 1, 15

• -23, 7

• 15

• 15, -15

• 12

• -4

• 4

• -12

What does it mean to "isolate the bars?"

How would you isolate the bars for this equation:

 $\left|x\right|-3\ =\ 10$  

• Add 3 to both sides

• Subtract 3 from both sides

• Add 10 to both sides

• Subtract 10 from both sides