Linear Equations
Quadratic Equations
Complex Numbers
Absolute Values and Radicals
Application Problems
Inequalities
100
The solution to
6-x=24
What is x = {-18}
100
The solutions of
x(1+x)=6
What are
x={-3,2}
100
The standard form of
(6+3i)-(2-4i)
What is
4+7i
100
The solution of
sqrt(3t+4)=2
What is
t={0}
100
The mathematical translation of " The total cost C of manufacturing x bicycles in one day is $50,000 plus $95 times the number of bicycles manufactured.
What is
C=50000+95x
100
The solution on a number line, set notation, and interval notation of
1-2x<=3
What is 
{x|x>=-1}, [-1,oo)
200
The solution to
-2(5-3x)+8=4+5x
What is
x={6}
200
The factored version and solutions of
2x^2+x-3=0
What are
(2x+3)(x-1)=0
and
x={1,-3/2}
200
The standard form of
(5+3i)(2-i)
What is
13+i
200
The solution of
abs(2x+3)=7
What is
x={-5,2}
200
Steve, a recent retiree, requires $5,000 per year in extra income. he has $70,000 to invest and can invest in A-rated bonds paying 8% per year or in a a CD paying 5% per year. How much money should be invested in each to earn exactly $5,000 per year?
What are Bonds = $50,000 and CD = $20,000.
200
The solution on a number line, set notation, and interval notation of
5<2x+2<=10
What is 
{x|3/2<x<=4}, (3/2,4]
300
The solution to
(3x)/4-x/3=1/12
What is
x={1/5}
300
Use the square root method:
The solutions to
(2x-1)^2=16
What is
2x-1=4 or 2x-1=-4
and
x={5/2,-3/2}
300
The standard form of
i^7
What is
-i
300
The solution of
sqrt(2x-3)+x=3
What is
x={2}
300
An object is thrown down from the top of building 1280 feet tall with an initial velocity of 32 feet per second. The distance s (in feet) of the object from the ground after t seconds is
s=1280-32t-16t^2.
When will the object hit the ground?
When is 8 seconds later.
300
The solution on a number line, set notation, and interval notation of
(3x-4)/2<=-3 or (3x-4)/2>=6
What is
{x|x<=-2/3 or x>=16/3}, (-oo,-2/3]uu[16/3,oo)
400
The solution to
(1-3x)/4=(x+6)/3+1/2
What is
x={-27/13}
400
Solve using the quadratic formula.
The solutions to
2x^2+5x+3=0
What is
(-5 +- sqrt(25-24))/4
and
x={-3/2,-1}
400
The standard form of
(2+i)/i
What is
1-2i
400
The solution of
abs(2-3x)+2=-9
What is
x=O/
400
A laboratory has 60 cubic cm. of a solution that is 40% HCl acid. How many cubic cm. of a 15% solution of HCl acid should be mixed with the 60 cubic cm. of 40% acid to obtain a solution of 25% HCl?
What is 90 cubic cm.
400
The solution on a number line, set notation, and interval notation of
abs(3x+4)<8
What is 
{x|-4<x<4/3}, (-4,4/3)
500
The solution to
5/(5z-11)+4/(2z-3)=(-3)/(5-z)
What is
z={2}
500
Use Completing the Square
The solutions to
x^2-1/2x-3/16=0
What is
(x-1/4)^2=1/4
and
x={-1/4,3/4}
500
The standard form of
(2+3i)/(1-i)
What is
-1/2+5/2i
500
The solution of
sqrt(2x-1)-sqrt(x-5)=3
What is
x={5,41}
500
A new copying machine can do a certain job in 1 hour less than an older copier. Together they can do this job in 72 minutes. How long would it take the older copier by itself to do the job?
What is 180 minutes or 3 hours.
500
The solution on a number line, set notation, and interval notation of
abs((2x+3)/3-1/2)>=1
What is 
{x|x<=-9/4 or x>=3/4}, (-00,-9/4]uu[3/4,oo)