Inequalities
Absolute Value
Inverse
Variables on both Sides
Word Problems
100

Solve 

4x + 1 − 1 ≥ −8

n≥-2

100

Solve the Absolute Value 

l b/5 l = 1

b= 5 and b=-5

100

Find an equation for the inverse

y =3x + 2

y^-1 = (x-2) / 3

100
5t - 4= t - 8
What is t=-1?
100
Your sister bought pencils at $0.39 each and a notebook at $1.19. The total cost was $3.92. How many pencils did she buy?
What is 0.39p + 1.19 = 3.92? and p = 7 pencils
200

3 − 2(n − 4) > −1

n<6

200

Solve 

3 - l 8x-6 l = 10

No Solution

200

Find the Inverse 


y= 2/3x -5

y-1= (3x+15)/2

200
7 + 3h = -1 -5h
What is h= -1?
200
Eight less than twice a number is sixteen less than three teims the number. What is the number?
What is 2x - 8 = 3x -16? and x = 8?
300

a − 15 > −4(−6 + 3a)

a>3

300

Solve

5 − l 8 −2n l = −75

n = 5 and n = -5

300
Find the Inverse 


y=x2-4

y-1= sqrt (x+4) 

300
6d + 1 = 15 - d
What is d= 2?
300

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200attheend of the summer. He withdraws $25 per week for food, clothing, and movie tickets. Howmanyweekscan Keith withdraw money from his account?

No more than 12 weeks

400

-7(4 - x) + 4  ≥ -18 + 7x

No solution

400

Solve 

5 l 9 − 5n l− 7 = 38

n=0 and n=18/5

400

Find the inverse

y=sqrt (x-2) 

y-1=x2+2

400
5(t+2) = 25 + 2t
What is t=5?
400

Tom is deciding whether or not he should become a member gym to use their basketball courts. The membership cost is $135. Members pay $2 to rent out the basketball courts. Non-members can rent the court also, but they have to pay $11 each time. how many times would Tom need to rent the court in order for it be cheaper to be a member than a non member?

At least 15 times