Absolute Value equations Review

Absolute Value Equations

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Absolute Value

​Remember

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Some text here about the topic of discussion

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 Select

Solve. Select BOTH solutions. $$\left|x-1\right|=3$$  

• -2

• 2

• 4

• -3

Multiple Choice

Solve for x in the following absolute value equation.

$$\left|\ \frac{x}{4}\right|\ =\ 8$$  

• $$\left\{\ 2,\ -2\ \right\}$$  

• $$\left\{\ \frac{1}{2}\ ,\ -\frac{1}{2}\right\}$$  

• $$\left\{\ 12,\ -12\ \right\}$$  

• $$\left\{\ 32,\ -32\ \right\}$$  

Multiple Select

Solve. Select BOTH solutions. $$\left|1-9x\right|=80$$

• $$-\frac{79}{9}$$  

• $$10$$  

• $$-9$$  

• $$9$$  

Multiple Choice

• A

• B

• C

• D

Multiple Select

Solve. Select BOTH solutions. $$\left|x-1\right|=3$$  

• -2

• 2

• 4

• -3

Multiple Select

Solve. Select BOTH solutions. $$\left|-4+x\right|=10$$  

• $$6$$  

• $$14$$  

• $$\frac{5}{2}$$  

• $$-6$$  

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Solve for x
l 5x l = 40

• x = 8 and x =-8

• x = 35 and x = -35

• Only x = 8

• No Solution

Multiple Choice

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

Multiple Choice

4a + 3 = 15

• 2

• 4

• 1

• 3

Multiple Choice

3(x+2) = 15

• 13

• 7

• 4.33333

• 3

Multiple Choice

$$x+2+6=8$$  

• 0

• 14

• 8

• 4

Multiple Choice

If $$7p+9-p=4p-2$$  , what is the value of p?

• $$-\frac{11}{2}$$  

• $$-\frac{7}{2}$$  

• $$\frac{11}{2}$$  

• $$\frac{7}{2}$$