Functions
Quadratics/Polynomials
Linear Systems
Sequences/Series
Probability
100

Define domain and range

all possible x's and all possible y's

100
Identify standard, vertex, and intercept form of a quadratic function

standard: f(x)=ax^2 + bx + c

vertex: f(x) = a(x-h)^2 + k

intercept: f(x) = a(x-p)(x-q)

100

Name two methods of solving a system of equations

Substitution or elimination

100

Find the equation for the nth term of the arithmetic sequence with a1=15 and d=4

an=4n +11

100

How many breakfast combinations are possible if you can choose from 2 drinks, 3 entrees and 4 sides?

2 * 3* 4 = 24

200

What are the vertical and horizontal line tests?

Vertical tests if graph is a function, horizontal tests if graph has an inverse

200

How do you find the max or min of a quadratic function?

x= -b/(2a); y=f(-b/(2a))

200

A system of equations in stair-step form with leading coefficients of 1 is called

row-echelon form

200

Find the finite sum of the arithmetic sequence:

-5 + (-3) + (-1) +1 +3 + 5

0
200

The set of all possible outcomes

Sample Space

300

What are even and odd functions?

Even functions are symmetrical about the y-axis, odd functions are symmetrical about the origin

300

What does it mean when you have a remainder of zero after dividing a polynomial function by a binomial in the form (x-k)?

(x-k) is a factor of the polynomial.

300

s(t)=1/2*at2 + v0t + s0 is the position equation. What do a, v0, and s0 represent?

a=constant acceleration; v0=initial velocity; s0=initial position

300

The second term of a geometric sequence is 6, and the fifth term is 81/4. Find the 8th term. (all terms of the sequence are positive)

2187/32

300

How many distinguishable ways can the word INDIANA be written?

7!/(2!*2!*2!*1!)=630
400

What does (f o g)(x) mean?

Replace every x in f(x) with the function g(x)
400

What is the rational zero test and what does it do?

It is the factors of the constant term divided by the factors of the leading coefficient. This gives you all the possible zeros of the function.

400

Write the form of the partial fraction decomposition of:(2x-3)/(x3+10x)

(A/x) + (Bx+C)/(x2+10)

400

Find the sum of an infinite geometric sequence given:

-2, + 1/2, -1/8, +1/32...


S=-1.6

400

What is the probability of getting a sum of 7 when rolling two standard dice?

Sample space=36; Event of rolling a sum of 7= 6; probability of rolling a sum of 7 = 6/36=1/6

500

Write a rule, g(x), for the transformation of f(x)=x^3; vertical shrink by a factor of 1/2, followed by a horizontal reflection, followed by a horizontal shift 3 left.

g(x)=1/2(-x-3)^3

500

Explain how you determine if a rational function has a horizontal asymptote and identify what that asymptote is.

Compare highest degree of numerator (n) and denominator (m). n less than m y=0; n=m y=L.C. numerator/L.C. denominator; n greater than m no horizontal asymptote but a slant
500

Find the max and min of the objective function and where they occur. Objective: z=4x+5y

Constraints: x>=0 ; 2x + 3y>=6 ; 3x - y<=9; 

x + 4y<=16

Max: (4, 3); 31

Min: (0, 2); 10

500

Write an expression for the nth term of the sequence. (assume n begins with 1)

1, 1/2, 1/6, 1/24, 1/120...

an=1/n!

500

Mooyah is hiring 4 delivery drivers and 3 line cooks. They received 10 applications for drivers and 5 for cooks. How many ways can these positions be filled?

10C4 * 5C3 = 210 * 10 = 2100

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