Inequalities
Systems of Equations
Exponents
Polynomials and Factoring
Quadratic Functions
Wild Card
100
Solve the inequality:
x-5>7
x>12
100
Identify the solution to the system of equations shown in the graph.
(2,3)
100
Simplify the expression:
a^2*a^7
a^9
100
Add:
(x^2+4x-7)+(3x^2-2x+8)
4x^2+2x+1
100
Graph the function:
y=x^2-5
100
Write the number 3.5xx10^3 in standard notation.
3500
200
Solve the inequality:
-4b+6<18
b> -3
200
Solve the system of equations by graphing:
y=2x-3
y=1/3x+2
(3,3)
200
Simplify the expression:
(3x^7)/x^3
3x^4
200
Subtract:
(x^2+4x-7)-(3x^2-2x+8)
-2x^2+6x-15
200
What is the quadratic formula?
x=(-b+-sqrt(b^2-4ac))/(2a)
200
Solve the equation:
|x+4|=8
x=4, x=-12
300
Solve the inequality:
2x<4 or 3x-7>8
x<2 or x>5
300
Solve the system of equations by substitution:
3x+4y=-5
x=y+3
(1,-2)
300
Simplify the expression:
((2x^2)/y^3)^2
(4x^4)/y^6
300
Multiply:
(x+5)(x-7)
x^2-2x-35
300
Graph the function:
y=-x^2+6x-8
300
Write the number 72,300 in scientific notation.
7.23xx10^4
400
Solve the inequality:
-4<3x+2<11
-2<x<3
400
Solve the system of equations by elimination:
2x+6y=-2
-2x-3y=-4
(5,-2)
400
Simplify the expression:
(2xy)/x^2*(y^4)/x^0
(2y^5)/x
400
Factor:
x^2+2x-15
(x+5)(x-3)
400
Find the vertex of the function:
y=2x^2+8x+3
(2,-5)
400
If there are initially 72 rabbits in a herd, and the number of rabbits doubles each month, the population P of rabbits after m months can be modeled by the formula P=72*2^m .
How many rabbits will there be after 3 months?
P=72*2^3=576
500
Solve the inequality:
|2x-3|>9
x<-3 or x>6
500
Solve the system of equations:
3x-y=-9
2x+2y=-6
(-3,0)
500
Simplify the expression:
(8a^0b^-3c^5)^-1
b^3/(8c^5)
500
Solve the equation by factoring:
x^2+9x+18=0
(x+6)(x+3)=0
x=-6, x=-3
500
Solve the equation using the quadratic formula:
4x^2-7x=5
x=(7+sqrt129)/8~~2.29
x=(7-sqrt129)/8~~-0.54
500
Solve the inequality:
|x-4|<=5
x<=9 and x>=-1