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Linear Equations
Functions
Quadratics
Polynomials (B)
Polynomials (D and E)
100
−9x + 1 = −80
What is x = 9?
100
Which of the following 2 equations is a function? a) {(1,3), (5,2), (5,4)} b) {(1,4), (2,4), (5,4)}
What is b?
100
Solve the equation: 5x^2 - 9 = 116
What is x = plus or minus 5?
100
2x^4y^-4z^-3 / 3x^2y^-3z^4
What is 2x^2 / 3yz^7?
100
Factor the expression: 2x^5 - 432x^2
What is 2x^2(x - 6)(x^2 + 6x + 36)
200
12 = -4(-6x - 3)
What is x = 0?
200
Evaluate the following function: f(-5), f(x) = -x^3 + 3x^2 - 4x - 9
What is f(-5) = 211?
200
Find the minimum or maximum of the quadratic equation: y = 2x^2 + 14x - 18
What is y = -32.5?
200
Use synthetic substitution to evaluate the following function: f(2) , if f(x) = 2x^4 - x^3 - 12x + 7 (You must show all work for full points)
What is f(2) = 7?
200
Divide using synthetic division: 2x^3 - 13x^2 - 77x + 60 divided by (x - 10)
What is 2x^2 + 7x - 7 - 10/x - 10?
300
2x = 1/4y - 6
What is y = 8x + 48?
300
Evaluate the following function for the given input: f(x)= -5x^4 - 2x^2 + 7 , f(1/2)
What is f(1/2) = 99/16?
300
Solve the equation: 3x^2 + 4 = 49
What is x = plus or minus the square root of 15?
300
Simplify the polynomial expression: (3x^4 - 2x^2 + 3) - (-5x^4 + 3x^3 - 7)
What is 8x^4 - 3x^3 - 2x^2 + 10?
300
Divide using synthetic division: 8x^3 - 49x^2 - 45x - 36 / (x - 7)
What is 8x^2 + 7x + 4 - 8/x-7?
400
You are interested in taking a trip from Worcester, to Yonkers, and back to Worcester this weekend. The distance from Worcester to Yonkers is 163 miles. For a 2-day rental, a rental car agency charges $40 per day. This company also charges a fee of $.35 per mile. You plan to leave Saturday and return Sunday. How much will it cost you to rent a car for this trip?
What is $194?
400
Is the following equation a function? Why or why not? x^2 + y^2 - 7 = 0
What is No, because it is the equation of a circle?
400
Find the minimum or maximum of the quadratic equation: y = 4x^2 + 12x - 27
What is y = -36?
400
Simplify: (x + 3)(x + 4)(2x + 6)
What is 2x^3 + 20x^2 + 66x + 72?
400
The volume of a rectangular prism is V = lwh. Find a polynomial equation for Volume if the length = (x + 2), the width = (x +1), and the height = (x + 3).
What is x^3 + 6x^2 + 11x + 6?
500
In 15 home games, Shabazz Napier had 16 turnovers. He also averaged 17 points per game and 4.5 assists per game. If in all 28 games in the season, Napier had 41 turnovers, how many turnovers did he average per away game?
What is 1.9 turnovers per game?
500
Evaluate the following function for the given input: f(x) = 1/3x^3 - 1/5x^2 + 3/5 , f(3)
What is f(3) = 39/5?
500
Find the minimum or maximum of the quadratic equation using vertex form: y = x^2 - 5x + 8 (You must show your work for full points)
What is y = 7/4?
500
Simplify: 5(2x + 3)^2
What is 20x^2 + 60x + 45?
500
Write a polynomial function of least degree that has real coefficients, the given zeros, and a leading coefficient of 1: -1, -1, 1 - 2i
What is x^4 + 2x^2 + 8x + 5?