9/9 Absolute Value Day3

2x=-4 (add 4 to both sides)

x=-2 (divide both sides by 2)

2x=12 (add 4 to both sides)

x=6 (divide both sides by 2)

Multiple Choice

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

• 2 solutions

• 1 solution

• no solutions

Multiple Choice

How many solutions will the equation have:

$$\left|x+3\right|=-4$$  

• no solutions

• 1

• 2

• All Real numbers

Multiple Choice

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

• 2 solutions

• no solutions

• 1 solution

Multiple Choice

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

$$\left|x+6\right|=4$$  

• $$x+6=4\ and\ x-6=4$$  

• $$x+6=4\ and\ x+6=-4$$  

• $$x+6=4\ and\ -x+6=4$$  

• $$x+6=4\ and\ -x-6=-4$$  

Multiple Choice

$$\left|7x\right|=-14$$  

Determine the solution(s) to the equation.

• {-2, 2}

• {-14, 7}

• {-2}

• no solution

Fill in the Blank

$$\left|2x\ -\ 7\right|=5$$  

Determine the solution(s) to the equation.

*Please use a comma between your solutions and no extra spaces*

,

Fill in the Blank

Evaluate each expression
| x + 9 | = -5

*Please use a comma between your solutions and no extra spaces*

Multiple Choice

Solve the following equation:

|−2n| + 10 = −50

• {30, −30}

• {20, −20}

• {−5, 5}

• No Solution

Multiple Choice

| 3x - 6 | - 9 = -3

• No Solution
• x = 0 and x = 4
• x = 2 and x = -2
• x = -4 and x = 4