Systems of Equations
What is the slope of a line perpendicular to 2x + y = -7?
What is 1/2?
Factor and solve x^2 + 9x + 18 = 0
What is x = -6, x = -3?
Classify 2x^3 + 4x - x^2 by its degree and number of terms.
What is cubic trinomial?
Simplify the square root of 72x3y6
What is 6xy3 square root of 2x
What kind of degree of a polynomial has end behavior that goes both up or both down?
What is even?
If y = 2x +1 and y = -3x - 9, x is equal to this.
What is x = -2?
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?
What is the end behavior of 13x^5 - x^3?
What is odd, positive?
Simplify the cubed root of -125a7b3
What is -5a2b cubed root of a
What is the formula for the difference of cubes?
What is (a-b)(a^2 + ab + b^2)?
Solve using substitution or elimination: 4y = 4x+ 4, -x + y = -1
What is no solutions?
Solve 8x^2 - 4x = 18 using the quadratic formula.
What is 1 +/- the square root of 37 all over 4?
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)?
Rewrite in simplified radical form: (-27a3)2/3
What is 9a2?
If i = the square root of -1, what does i^2 equal?
What is -1?
Solve by elimination. -x - 5y + z = 17, -5x - 5y + 5z = 5, 2x + 5y - 3z = -10
What is (-1, -4, -4)?
Simplify and rationalize (6 + 8i)/9i.
What is (-8+6i)/-9?
Divide using long division: k^3 - 5k^2 + 8k + 4) divided by k-1.
What is k^2 - 4k + 4 + 8/(k-1)?
Divide and simplify. (x^2 + 10x + 16)/(x^2 +6x + 8) divided by 1/(x + 4).
What is x + 8?
After solving a rational function equation, what do you call a solution that makes the denominator equal zero?
What is an extraneous solution?
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?
Find all the factors of x4 + 7x2 + 12
What is (x2+3) (x-2)(x+2)?
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)?
Simplify (10a square root 75mn2) - (5an square root of 12m)
What is 40an square root of 3m?
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?
or What is the relative maximum?