Quiz about Absolute Value equations Review

Question 1

$$\left|2x\ +8\right|=11$$ has ____ solution(s).

Accepted Answer

2 solutions

Answer

1 solution

Answer

no solutions

Question 2

How many solutions will the equation have:

$$\left|x+3\right|=-4$$

Accepted Answer

no solutions

Answer

1

Answer

2

Answer

All Real numbers

Question 3

$$\left|x\ +\ 6\right|=0$$ has ______ solution(s).

Accepted Answer

1 solution

Answer

2 solutions

Answer

no solutions

Question 4

What are the two equations you would need to solve to find the solutions of the absolute value equation:

$$\left|x+6\right|=4$$

Accepted Answer

$$x+6=4\ and\ x+6=-4$$

Answer

$$x+6=4\ and\ x-6=4$$

Answer

$$x+6=4\ and\ -x+6=4$$

Answer

$$x+6=4\ and\ -x-6=-4$$

Question 5

$$\left|7x\right|=-14$$

Determine the solution(s) to the equation.

Accepted Answer

no solution

Answer

{-2, 2}

Answer

{-14, 7}

Answer

{-2}

Question 6

What is the first step to figure out the solutions for x in the following equation:

$$\left|x-3\right|+2\ =\ 6$$

Accepted Answer

Isolate the absolute value expression

Answer

Solve the equation

Answer

Create two new equations, one positive and one negative

Question 7

| 3x - 6 | - 9 = -3

Accepted Answer

x = 0 and x = 4

Answer

No Solution

Answer

x = 2 and x = -2

Answer

x = -4 and x = 4

Question 8

Solve. Select BOTH solutions. $$5\left|7+x\right|+2=17$$

Accepted Answer

$$-10$$

Accepted Answer

$$-4$$

Answer

$$3$$

Answer

$$4$$

Absolute Value equations Review