Absolute Value Test Review

Number of Solutions

100

How many solutions does the following have

|x|=12

2 solutions

200

How many solutions does the following have

|x-5|=-3

No Solution

300

How many solutions does the following have

|5x+3|-5=-5

one soltution

400

How many solutions does the following have

-2|3x+7|<12

All Reals 

500

How many solutions does the following have

2|6x-7|+8<4

No Solution

Absolute Value Equations

100

Solve the following

|x|=8

x=-8,8

200

Solve the following

|1-x|=3

x=-2,4

300

Solve the following

|4x-8|+1=13

x=5,-1

400

Solve the following

-3|x+5|=-9

x=-2,-8

500

Solve the following

-1+3|3x+3|=26

x=2,-4

Absolute Value Inequalities

100

Solve the following

2+|x|>=9

x<=-7 or x>=7

200

Solve the following

3|x-5|<21

-2<x<12

x> -2 and x<12

(-2,12)

300

Solve the following

4|2x+8|-4<=20

-7<=x<= -1

x>= -7 andx<=-1

400

Solve the following

|4x+3|-5>=-3

x<=-5/4orx>=-1/4

(-∞,-5/4]uu[-1/4,∞)

500

-2|-5x+5|+3> -5

x<1/5 or x>9/5

  (-∞,1/5)uu(9/5,∞)

All Reals VS No Sol.

100

All Real Solutions OR No Solutions?

|x|<-5

No Solutions

200

All Real Solutions OR No Solutions?

|2x+4|>=-7

All Reals

RR

(-∞,∞)

300

All Real Solutions OR No Solutions?

-2|x+5|>10

All real numbers

RR

(-∞,∞)

400

All Real Solutions OR No Solutions?

-5|-5x+7|+4<19

All Real Numbers

500

All Real Solutions OR No Solutions?

5-2|3x-5|>13

No Solution

Wildcard

100

Where did Ms. Scougal go to college?

Virginia Tech

200

Is this inequality an "And" or "Or" picture

|x-4|>5

OR

300

Is this inequality an "And" or "Or" picture

-|5-x|>-8

AND

400

Where did Mrs. Robinson go to college?

ODU

Old Dominion University

500

Solve the following

|5x+8|=10x-7

x=3