Algebra 2 - Quiz Absolute Value Equations

What should always be your first step when solving an absolute value equation?

• Solve for x

• Write 2 equations (one positive,one negative)

• Isolate the absolute value on one side of the equation

• Get x on one side of the equation

Solve.

Select each correct asnwer.

| x – 3 |= 0

• 3

• -3

• {-3, 3}

• no solution

Solve.

Select one answer.

| x + 9 | = -5

• -14

• -4

• {-14, -4}

• no solution

Solve.

Select one answer.

|2a - 10| = 6

• a = 8, a = 5

• a = 2

• a = 8

• a = 8, a = 2

What value(s) of x will satisfy the equation? Choose all that apply.

 $\left|2x\right|=6-x$  

• -6

• -4

• 0

• 2

Solve.

Select one answer.

−2|−2r − 4| = -12

• {5,1}

• {-5, -1}

• {-5, 1}

• No Solution

Solve.

Select one answer.

Solve |x – 12| - 3 = 11.

• x = -2 and x = -26

• x = -2 and x = 26

• x = 3 and x = 25

• x = 4 and x = -7

 $\left|4x+6\right|=5x+3$  

Solve.

 (Don't forget to check for extraneous solutions.)