Equations and Inequalities
Functions and Graphs
Polynomial and Rational Functions
Exponent and Logarithmic Functions
Interesting Facts
100
Week One (P.5)
Factor:
x^2 + 4x - 12
(x + 6)(x - 2)
100
Week Six (2.1)
Find f(-3)
f(x) = -2x^2 - 3x + 2
f(-3) = -7
100
Week Twelve (3.5)
Find the domain of the rational function.
f(x) = (2x^2)/(-4x+3)
(-∞, ¾) ⋃ (¾, ∞)
100
Week Thirteen (4.2)
Change from logarithmic form to exponential.
log20 400 = 2
20^2 = 400
100
What is Mrs. Armstrong's favorite number?
13
200
Week Two (1.2)
Solve:
5/(n+8) = 6/(n+1)
n = -43
200
Week Six (2.6)
Find
(g०f) (2) when f(x) = (x+9)/2 and g(x) = 2x-4
(g ० f)(2) = 7
200
Week Twelve (3.5)
Find the vertical asymptotes.
f(x) = (3x^2)/(x^2 - 9)
Vertical asymptotes at x = 3 and x = -3
200
Week Thirteen (4.2)
Evaluate:
-3
200
What is a googol?
10^100
300
Week Three (1.4)
Find the product of: (2+7i)(5-3i)
31 + 29i
300
Week Seven (2.4)
Write an equation for the line that is perpendicular to y = 3x + 5 and passes through the point (1,2). Give your answer in slope intercept form.
y = -1/3x + 7/3
300
Week Eleven (3.3)
(2x^2 - 17x - 38) ÷ (2x + 3)
x - 10 + (-8)/(2x+3)
OR
x - 10 R. -8
300
Week Thirteen (4.x)
Solve for x.
4^(3x+12)=1/64
-5
300
What number is twice the sum of its digits?
18
400
Week Four (1.5)
Solve using the Quadratic Formula:
2x^2 - 3x -15 = 5
X = 4, -5/2
400
Week Eight (2.7)
Find the inverse of the following function.
f(x) = 8x + 5
f^-1(x) = (x-5)/8
400
Week Twelve (3.6)
Solve the quadratic inequality and graph on a number line.
(x +3)(x -2) < 0
-3 < x < 2
400
Week Thirteen (4.4)
Solve:
n = -2
400
What is the official name of the symbol below.
#
octothorpe
500
Week Five (1.7)
Solve and graph the solution set on a number line:
2 - 3x ≥ 5
x -1
500
Week Ten (2.8)
Write the equation of a circle that has a center of (4, -8) and a radius of 6.
(x-4)^2 + (y+8)^2 = 36
500
Week Twelve (3.6)
Solve the quadratic inequality and graph on a number line.
x^2 -3x - 4 ≥ 0
(-∞,-1] ∪ [4,∞)
500
Week Thirteen (4.4)
Solve.
9^(x+2) = 3^(x-1)
x = -1/2
500
What number cannot be represented with Roman numerals?
0