Linear and Quadratic Equations
Other Equations
Inequalities
Formulas and Applications
Variation
100
2(x-3)-5=4(x-5)
What is x=9/2
100
x^3-36x=0
What is x=-6, 0, 6
100
Solve and graph -2x+8 >=14
What is x<=-3
100
A chair manufacturer spends $12.45 to produce a chair that sells for $39.95. How many chairs must he sell to make a profit of $5,500?
What is 200 chairs
100
S is directly proportional to the square of t. If s=64 when t=2 find s when t=10.
What is S=1600
200
(1/2)x+7-(1/4)x=19/2
What is x=10
200
x^3+3x^2-4x-12=0
What is x=-3, -2, 2
200
Solve and graph x+3>4 and 2x+1<15
What is {x|1<x<7}
200
A company has determined that the profit in dollars it can expect from the manufacture and sale of x tennis racquets is given by P=-0.01x^2 +168x-120,000. How many racquets should the company manufacture and sell to earn $518,000 in profits?
What is 5800 or 11000 racquets
200
V varies directly as T and inversely as P. If V=220 when T=40 and P=20, find V if T=35 and P=10.
What is V=385
300
x^2+3x-10=0
What is x=-5, 2
300
(2x+1)/(x+4)+3=-2/(x+4)
What is x=-3
300
Solve and graph |8-2x|-6>=0
What is (-inf, 1]U[7, inf)
300
Find all sets of 3 consecutive odd integers whose sum is between 30 and 40
What is {9, 11, 13} and {11, 13, 15}
300
Force is directly proportional to acceleration. If a force of 10 pounds produces an acceleration of 2 ft per second squared, what acceleration will be produced by a 15-pound force?
What is 3 ft per second squared
400
(y+2)^2 +5=15
What is x=-2 plus or minus root 10
400
root(9x-20)-x=0
What is x=4, 5
400
Use critical values method to solve x^2+3x-4<0
What is (-4, 1)
400
A man 6 ft tall is standing next to a tree. The tree casts a 10 ft shadow and the man a 4 ft shadow. find the height of the tree.
What is 15 ft
400
The number of mp3 players a company can sell is inversely proportional to the price of the player. If 5000 MP3 players can be sold when the price is $150, how many players could be sold if the price is $125?
What is 6000 players
500
9x^2-24x+20=0
What is (4 plus or minus 2i)/3
500
4x^(4/5)-27=37
What is x=32, -32
500
Use the critical values method to solve (5x-9)/(x-5)<=3
What is [3, 5)
500
A runner runs a course at a constant speed of 8 miles per hour. One hour later, a cyclist begins the same course at a constant speed of 16 miles per hour. How long after the runner starts does the cyclist overtake the runner?
What is 2 hours
500
The cost of insulating the ceiling of a house varies jointly as the thickness of the insulation and the area of the ceiling. It costs $175 to insulate a 2100 square foot ceiling with insulation that is 4 inches thick. Find the cost of insulating a 2400 square foot ceiling with insulation that is 6 inches thick.
What is $300