Simultaneous Equations
Irrational Numbers (Radicals)
Inequalities
Quadratic Equations and Functions
Radical Equations and Expressions (Exponentials and Logs)
100
What is the solution to the set of simultaneous equations graphed here.
(4,-1)
100
Simplify
root3((-8^3))
-8
100
Classify the statement as true or false
-2<-5/2<-3/2
False
100
Solve
(5y-4)^2=12
y=(4+-2sqrt(3))/5
100
Solve the equation for x:
27^x=81
4/3
200
Solve the set of simultaneous equations
y=2x-1
2x-4y=10
(-1, -3)
200
Find the real roots of the equation
2/3*r^2=24
+-6
200
Solve the inequality 7>=3x+1 and graph the solution set on a number line.
x<=2
200
Use the quadratic formula to solve
2x^2+6x+3=0
(-3+-sqrt3)/2
200
Simplify
root3(sqrt(125y^6))
abs(y)sqrt(5)
300
Solve
y=4x - 3
2y-8x=-8
No solution
300
Simplify
(sqrt(15)*sqrt(42))/sqrt(35)
3sqrt(2)
300
Solve the open sentence and graph its solution set
k+5<=-3 or k+5>3
k<=-8 or k> -2
300
What is the vertex, axis of symmetry, and minimum or maximum value of the following parabola (be sure to say which is which)
Vertex: (1, -4)
Axis of symmetry: x=1
Minimum value: -4
300
Given the functions
h(x) = 2x - 6 and g(x) = x+ 4
What is h(g(x))
h(g(x)) = 2(x+4) - 6
= 2x +8 -6
= 2x + 2
400
Solve
4x-5y=0
8x+5y=-60
(-5, -4)
400
Simplify
sqrt(5x)/sqrt(3)+sqrt((3x)/5)
(8sqrt(15x))/15
400
Solve the open sentence and graph its solution set
abs(y+1)<12
-13<y<11
400
Find an equation in the form
y-k=a(x-h)^2
that has a vertex at
(-2, -1)
and containing the point
(0, 3)
y=x^2+4x+3
400
f(x)= 2x/-5. What is f-1(x)?
f-1(x)=-5x/2
500
Solve
-8r+s=-17
5r-3s=-6
(3,7)
500
Simplify
(5+2sqrt(6))(8-3sqrt(6))
4+sqrt(6)
500
Graph the inequality in a coordinate plane
y>3
500
Without solving the equation, determine the nature of its roots:
3x^2-4x+2=0
Two imaginary conjugate roots
500
Solve the following equations for x.
4x+2=8
x = -1/2
600
Solve using a system of two equations.
The numerator of a fraction is 4 less than the denominator. If 17 is added to each, the value of the fraction is 5/6. Find the original fraction.
3/7
600
Solve
root3(4x-1)=3
7
600
Graph the solution set of the system
y<2x+2
y>=2-2x
600
Find a quadratic function
f(x)=ax^2+bx+c having minimum value -9 and zeros 1/2 and -5/2
f(x)=4x^2+8x-5
600
Solve the following equation for x. Round to the nearest hundredth if necessary.
logx(6x+27)=2
x = 9