Unit 1:
Polynomials
Polynomials
Unit 2:
Factoring
Factoring
Unit 3:
Functions
Functions
Unit 4:
Rational Expressions/Equations
Rational Expressions/Equations
Unit 5:
Systems of Equations
Systems of Equations
Unit 6:
Trig
Trig
100
Simplify
(x^2 +6x-8)-(x^2-4x+1)
10x - 9
100
List ALL the real solutions of the graph below:
{-4,-2, 3, 5}
100
If f(x) = 3x + 5, find f -1(x)
y= (x-5)/3 or 1/3x-5/3
100
For which value(s) of x is the following expression undefined:
(x^2-81)/(4x-27
27/4
100
Find an equivalent equation to
x^2 +y^2-16x+6y+53=0
(x-8)2 + (y+3)2 =20
100
Determine what quadrant the angle must lie in if:
cottheta <0 and sec theta >0
Quadrant IV
200
If f(-2), find the value of f(x)= 3x2 - 4(x) + 5
f(-2)=25
200
What is the remainder of
(x^3+6x^2-8x-1)/(x-4)
127
200
Please describe the following transformation:
f(x) = abs(x-3)-8
Right 3 and Down 8
200
What is the LCD of the following terms:
3x, 5,x^3
15x^3
200
Which of the following is equivalent to
(2+3x i)(3-x i) in simplest form?
1) 5 + 2xi
2) 3x2 + 7xi + 6
3) -3x2 + 7xi + 6
4) -3x + 7xi + 6
2) 3x2 + 7xi + 6
200
Name the smallest positive angle co-terminal with
-80^o
280^o
300
Which of the following characteristics are true of the following graph?
3
300
What are the factors of
3x2 - 7x - 6
(x - 3) (3x + 2)
300
Find a value, to the nearest hundredth, that is a solution to the functions
p(x)=x^3+4x^2-31x-70 and q(x)=abs(x) -3
{-6.93, -1.97,5.02}
300
Solve the following equation:
4/(3x) + 5/4 =3/x
x=4/3
300
Write an equation that represents the set of points equidistant from the line y=5 and the point (1,1).
y=-1/8 (x-1)^2 +3
300
In the Unit Circle provided below, what are the coordinates of (x,y) if
theta = 45^o
(sqrt2/2, -sqrt2/2)
400
Simplify the following expression:
(x-3)(2x+3)(x-1)
2x^3 -5x^2 -6x+9
400
Factor Completely:
4x^2-6x-4
2(2x+1)(x-2)
400
Simplify in simplest radical form:
(27-10sqrt(3))/13
400
Solve for x:
sqrt(x-5) +x=7
x=6
400
Determine the solutions to the equation below in a+bi form:
9x^2 = 2(3x-1)
1/3 +- 1/3i
400
What is the value of tan(-240o)?
-sqrt 3
500
Simplify
root(3)(54a^5b^6
3ab^2root(3)(2a^2
500
Find the quotient by using long division
(x^4 -8x^2 +12) / (x+2)
x^3 - 2x^2 - 4x + 8 - 4/(x+2)
500
Determine if the following function is even, odd, or neither:
p(x)=-x^7 -12x
Odd
500
Simplify:
(3x^2+17x-6)/(6x-2)div (x^2-36)/(30-5x)
-5/2
500
Solve the following system of equations algebraically:
(x+1)^2+(y-2)^2=25 and y-x=2
(-4,-2) and (3,5)
500
If sintheta=sqrt7/4 and costheta=-3/4 , what is
tantheta?
-sqrt7/3