T2: Quadratics
T3: Polynomials
T4: Rational Functions
T5: Roots & Radicals
T6: Expos & Logs
100
What is the conjugate of the following complex number?
4-5i
4+5i
100
Given the following roots, what are the additional roots?
-2, -3+4i, sqrt5
-3-4i, -sqrt5
100
Write the following equation.
y varies jointly with x and z and inversely with the square of r
y=(kxz)/r^2
100
Identify the domain and range for the following function :
y = -sqrt(x-3) + 5
Domain:
x >=3
Range:
y <=5
100
Simplify the following logarithm.
about 2.085
200
What is the vertex of the of the following quadratic equation: f(x) = 2(x-5)2+3
V = (5, 3)
200
What are the zeros of this polynomial? (approximate)
x = -2.5, 1 and 7
200
Simplify the following and state any restrictions
(2(x+6))/(3x-2)
(2x+12)/(3x-2)
Restrictions: -5, 2/3, -6, 3, or 2.
200
Solve for x: (3x+10)1/2 - 5 = 2
What is 13
200
You have $300 to deposit into an account that gains 2% interest annually. How many years would it take to have $400?
about 14.4 years
300
Factor
2x^2 - 7x - 15
(2x+3)(x-5)
300
Find the zeros of the following by factoring:
f(x) = 3x3-12x2+9x
(hint: factor out a GCF first)
x = 0, 1 and 3
300
Simplify the expression
300
Find the inverse of the function: y = 4x - 8
y = (x/4) + 2
300
Condense the following:
log3 + log10x - log6y
log 5x/y
400
Simplify the following expression
-32+17i
400
Use synthetic division and determine is (x+2) a factor of 2x3+2x2−x+6?
Yes it is, remainder = 0
400
Solve for x 
x = 2 and -1
400
Simplify the following two expressions
x^3y^2zroot7(x^2z)
xy^5z^4root4(x^2y^3)
400
Solve the following log equation
log2(x) + log2(x-3) = 2
(hint: condense then convert)
x = 4
500
Solve: 2x2+3x-20 = 0
(hint: Factor or quadratic formula)
x = 5/2 and -4
500
Divide 4x4-6x3+2x2-5x+7 by 2x2+1
2x^2-3x +(-2x+7)/(2x2+1)
500
No Solution!
500
Let f(x)=x+7 and
g(x)=x^2-1
Simplify the expression.
(f o g)(x)
x^2+14x+48
500
Scott invested $1600 into a retirement account that earns 2.4% interest compounded monthly. What will the balance of the account be after 30 years?
$3284.73