One-Step Absolute Value Equations
Two-Step Absolute Value Equations
Isolating the Absolute Value
Possibly Extraneous!
REVIEW
100
Solve for all values of b in simplest form.
|b-2|=13
b=15, b=-11
100
Solve for all values of c in simplest form.
19=|3c-4|
23/3=c, -5=c
100
Solve for all values of x in simplest form.
3|2x+1|=15
x=2, x=-3
100
Solve for all values of x in simplest form.
|4x-6|=2x
x=3, x=1
100
1.1 Level 1:
Solve.
2(2x-3)=2
x=2
200
Solve for all values of y in simplest form.
21=|7y|
3=y, -3=y
200
Solve for all values of b in simplest form.
13=|2b+12|
1/2=b, -25/2=b
200
Solve for all values of x in simplest form.
3+2|x-6|=11
x=10, x=2
200
Solve for all values of x in simplest form.
|5x+9|=4x
No solution
200
1.1 Level 3
Solve for x:
2(-2x+2)-6=4
x=-1.5
300
Solve for all values of x
|x+11|=46
x=35, x=-57
300
Solve for all values of c in simplest form.
|-1+4c|=41
c=21/2, c=-10
300
Solve for all values of x in simplest form.
-|10+x|+10=-1
x=1,x=-21
300
Solve for all values of x in simplest form.
|2x+7|=3x+3
x=4
300
Solve for x and graph the solution on the number line. Also, write the solution in interval notation.
4x-4<=24 or 4x-4>=44
x<=7 or x>=12
(-oo,7]U[12,oo)
400
Solve for all values of x in simplest form.
|x/2|=9
x=18, x=-18
400
Solve for all values of b in simplest form.
21=|5-4b|
-4=b, 13/2=b
400
Solve for all values of x in simplest form.
|4x-4|-8=-3
x=9/4, x=-1/4
400
Solve for all values of x in simplest form.
|2x+5|+2=x
No solution
400
1.2: Level 2
Solve the following inequality for h. Write your answer in simplest form. Then, graph it on a number line and write the solution in interval notation.
-7h-5(5h-4)>-5h-4+h
h<6/7
(6/7,oo)
500
Solve for all values of y in simplest form.
1=|-3y+11|
10/3=y, 4=y
500
Solve for all values of x in simplest form.
4+3|3x-7|=28
x=5, x=-1/3
500
Solve for all values of x in simplest form.
|3x-9|-9=5x
x=0
500
1.1: Level 4
When an integer is subtracted from 8 times the next consecutive even integer, the difference is 86. Find the value of the greater integer.
The greater integer = 12
Not 10 :)