Polynomials
Factoring
Functions
Equations & Inequalities
Misc.
100
(3a3+5a2-2a+4) + (2a3-4a2-a-7)
5a3+a2-3a-3
100
x2 - 9
(x+3)(x-3) or (x-3)(x+3)
100
What type of function is this?
Bonus: Increasing or Decreasing?
Linear
Bonus (+100): Increasing
100
A high school club is researching a tour package offered by the Island Kayak Company. The company charges $35 per person and $245 for the tour guide.
Write a function that represents the total cost, c(x), of this kayak tour package for x club members.
c(x) = 35x+245
100
Evaluate the following: x-2
Fraction: 1/x2
200
(-4x3+3x-5) - (-2x3+4x2+4x-10)
-2x3-4x2-x+5
200
x2-5x+4
(x-4)(x-1) or (x-1)(x-4)
200
Is this a function, yes or no?
Bonus: Can you explain why?
Yes
Bonus (+100): Each x value can only have one arrow coming from it and x = 5, has two arrows.
200
Solve the inequality (no graph needed):
-5x<-2(x+3)+12
x > -2
200
Evaluate: 7-3
Fraction: 1/343
300
10x5•-3x2
-30x7
300
64x2 - 49
(8x+7)(8x-7) or (8x-7)(8x+7)
300
What is the special characteristic of a quadratic function?
x2
300
Solve the equation:
4(x - 2) = 6x+10
x = 1
300
What property is shown below:
3 • 4 = 4 • 3
Commutative Property
400
3x2(4x3+10x2-5x-2)
12x5+30x4-15x3-6x2
400
x2-10x-24
(x-12)(x+2) or (x+2)(x-12)
400
What is the slope and y-intercept of: 6x+2y=4
Slope: m=-3
y-intercept: b=2 --> (0, 3)
400
What is the formula for exponential growth/decay?
Bonus: Can you tell me what each part means?
f(x)=P(1±r)t
Bonus (+300):
P = starting/initial value
r = rate (decimal)
t = time
400
What property is shown in the example below:
3+(5+7) = (3+5)+7
Possible Bonus if you are specific!
Associative Property
Bonus (+100): Associative Property of Addition
500
(-3a5b2)3
-27a15b6
500
3x3+18x2+27x
3x(x+3)(x+3)
500
Given the parent function: f(x) = 5x
What transformation(s) took place?
f'(x) = -5x+4
- Reflected over the x-axis
- Translated left 4 units
500
Find the x and y-intercepts of:
-4x+3y=12
x-intercept - (-3, 0)
y-intercept - (0, 4)
500
Evaluate the expression a-(bc)2
If a = -3, b = 3, and c = -2
-39