Solving Linear Equations
Absolute Value
Word Problems
Solving Linear Inequalities
Surprise!
100
15x-3=2
x= 1/3
100
|13-2x|=5
x=-10 AND x=9
100
Jessica is planning to join a gym called Brawny Beauties. If Brawny Beauties charges a one-time registration fee of $50 and a monthly fee of $30, how much will it cost for the first 12 months?
$410
100
m-3≤5
m≤8
100
The formula to calculate a baseball player's batting average is A=h/b.
Solve for b
b=h/A
200
0.3(15+30x)=7.5-x
x=3/10
200
|-0.5x-17|=10
x=-54 AND x=-14
200
Jessica ended up joining a gym named GetFitNow instead of Brawny Beauties. GetFitNow charges a one-time registration fee of $35 and a monthly fee of x dollars. Her first year ended up costing $935. How much was she charged per month?
$75
200
x+0.7>-2.3
x>-3
200
Solve for y
xy-ry=3
y=3/(x-r)
300
(5/6)(6x-24)=3x+12
x=16
300
|5x-12|=28
x=8 AND x=-3.2
300
Bowling Alley A charges $3.75 to rent shoes and $4.00 per game. Bowling Alley B charges $2.50 to rent shoes and $4.50 per game.
For what numbers of games is the total cost, including a pair of rental shoes, less at Bowling Alley A?
# of games ≤ 2
300
-200x < 800
x > 400
300
Formula for the volume of cone, solve for h:
V=(1/3)∏r2h
h = (3V)/(∏r2)
400
If 32x-12=116, then what is the value of -3x?
The value of -3x is -12.
400
|x-4|-2=8
x=14 AND x=-6
400
Your doctor recommends that you consume no more than 2300 mg of sodium a day. By the afternoon, you have consumed 1180 mg of sodium. Write and solve an inequality to show how much more sodium you may eat.
2300 ≥ 1180+x
1120 ≥ x
400
5x-12 ≤ 3x-4
x ≤ 4
400
Solve for y.
3y+4x=9
y=(9-4x)/3
500
1-3(x+5)=x+5
x=-4.75
500
|3x-1|+6=5
NO SOLUTION
500
The typical takeoff speed of a jetliner is about 160 miles per hour. Can the jetliner take off when it reaches a speed of 75 meters per second?
Show mathematical proof.
NO!
≅78m/s or ≅153mph
500
3(2a-1) ≥ (3/4)a-17
a ≥ -2 2/3
500
For what amounts of sales do you earn more in the first year with Job Offer A? With Job Offer B?
Job offer A earns more up to 96,250 in sales. Job offer B earns more after 96,250 in sales.