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Unit 1 (Systems of Equations)
Unit 2 (Factoring and Imaginary Numbers)
Unit 3 (Polynomials and End Behavior)
Unit 4 (Rational Functions)
Could Be Anything!
100
What is the slope of a line perpendicular to 2x + y = -7?
What is 1/2?
100
Factor and solve x^2 + 9x + 18 = 0
What is x = -6, x = -3?
100
Classify 2x^3 + 4x - x^2 by its degree and number of terms.
What is cubic trinomial?
100
Suppose x and y vary inversely and x = 1 when y = 11. What will x equal when y = 10?
What is 11/10?
100
After putting a three-variable system into a matrix on your calculator, which buttons do you push to find the solution?
What is A^-1 times B?
200
What is the equation of the line that is parallel to y = 3x - 1 and passes through (0,12)?
What is y = 3x + 12?
200
Rationalize and simplify the square root of 2 divided by the square root of 10.
What is the square root of 5 divided by 5?
200
What is the end behavior of 13x^5 - x^3?
What is fall, rise?
200
Where does the rational function (x+5)/(x^2 + 9x + 20) have vertical asymptotes?
What is x = -4?
200
What is the formula for the difference of cubes?
What is (a-b)(a^2 + ab + b^2)?
300
Solve using substitution or elimination: 4y = 4x+ 4, -x + y = -1
What is no solutions?
300
Solve 8x^2 - 4x = 18 using the quadratic formula.
What is 1 +/- the square root of 37 all over 4?
300
Write a third degree polynomial in factored form with roots at x = 1/2 and x = 4i.
What is y = (2x - 1)(x - 4i)(x + 4i)?
300
List all points of discontinuity for y = (x^2 - 4)/(x + 2).
What is a vertical asymptote at x = 2 and a hole at x = -2?
300
If i = the square root of -1, what does i^3 equal?
What is the negative square root of -1?
400
Solve by elimination. -x - 5y + z = 17, -5x - 5y + 5z = 5, 2x + 5y - 3z = -10
What is (-1, -4, -4)?
400
Simplify and rationalize (6 + 8i)/9i.
What is (-8+6i)/-9?
400
Divide using long division: k^3 - 5k^2 + 8k + 4) divided by k-1.
What is k^2 - 4k + 4 + 8/(k-1)?
400
Divide and simplify. (x^2 + 10x + 16)/(x^2 +6x + 8) divided by 1/(x + 4).
What is x + 8?
400
After solving a rational function equation, what do you call a solution that makes the denominator equal zero?
What is an extraneous solution?
500
A small firm builds two types of garden shed. Type A requires 2 hours of machine time and 5 hours of craftsman time. Type B requires 3 hours of machine time and 5 hours of craftsman time. In each day, there are 30 hours of machine time and 60 hours of craftsman time available. The profit on Type A sheds is $60 and the profit on Type B sheds in $84. How many of each type of shed should the firm produce to maximize profits?
What is 15 of Type A and 0 of Type B?
500
Convert y = 2x^2 + 36x + 170 to vertex form.
What is y = 2(x+9)^2 + 8?
500
Given that (x-3) is a factor of 5x^3 - 12x^2 - 23x+42, find the other two factors.
What are (5x - 7)(x + 2)?
500
Add and simplify 2/(x + 8) plus 4/(x + 1).
What is (6x + 34)/((x + 1)(x + 8))?
500
What is the name of the point you look for on a graph when you are trying to find the maximum height and volume of an open-top box made from a flat sheet of metal?
What is local maximum?