WU M3 2.1 - 2.2 Review

WU M3 2.1 - 2.2 Review

By Casey Murr

Steps for Solving Equations

1. Isolate the absolute value

2. Write two equations

3. Solve the two equations

4. Check your answers (sometimes one or both values do not work)

Greater than (>)

Greater than equal to (>)

Remember GREAT "OR"

Inequalities

Less than ( <)

Less than equal to( <)

Remember LESS "AND"

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

Solve for x
l x−6 l + 4= 10

• x = 12 and x = 0
• x = 3 and x = -3
• x = -12 and x = 0
• No Solution

Multiple Choice

−2|−2r − 4| = -12

• x = 5 and x = 1

• x = -5 and x = -1

• x = -5 and x = 1

• No Solution

Multiple Choice

Which symbol means less than?

• $$<$$

• $$>$$

• $$\le$$

• $$\ge$$

Multiple Choice

Which symbol means greater than or equal to?

• $$<$$

• $$>$$

• $$\le$$

• $$\ge$$

Multiple Choice

Would this absolute value equation be an "AND" or "OR"? $$\left|-4x+7\right|\ge3$$  

• AND

• OR

Multiple Choice

Would this absolute value equation be an "AND" or "OR"? $$\left|3x+1\right|<7$$  

• AND

• OR

Multiple Select

Which of the following absolute value inequalities would be an "OR"? (CHOOSE ALL THAT APPLY)

• $$\left|4x-1\right|>5$$  

• $$\left|-3x+7\right|<11$$  

• $$\left|5x+\frac{1}{2}\right|\ge1$$  

• $$\left|2x-10\right|\le50$$  

• $$\left|7x+5\right|>6$$  

Multiple Choice

Solve the absolute value inequality.

$$\left|2x-1\right|<3$$  

• $$x<-1\ or\ x>2$$  

• $$1<x<2$$  

• $$-1<x<2$$   

• $$-1>x>2$$  

Multiple Choice

Solve the absolute value inequality.

$$6\left|x+3\right|-10\ge-4$$  

• $$x\le-4\ or\ x\ge-2$$  

• $$-4<x<-2$$  

• $$-2<x<4$$   

• $$x\le-4\ or\ x\ge2$$