University:
College Entrance Preparation
Course:
SAT Preparation
Academic year:

2023
Views:

164

Pages:

5
Author:

MathMonk

SAT-Like Math Questions Topic: Polynomial Functions Calculator NOT Permitted Easy: 1.) Which of the following gives the solution set for the polynomial equation below? 4.) If the following equation were to be graphed on the standard x-y plane, at which values would the graph intersect the x axis? 𝑦 = 𝑥 2 + 7𝑥 + 10 𝑥 2 − 11𝑥 + 19 = −5 A. 2 and 5 A. {-3, -8} B. 7 and 10 B. {3, 8} C. -2 and -5 C. {-3, 8} D. -7 and -10 D. {3, -8} 2.) Which of the following is a solution for the equation below? 5.) If the following equation was graphed on the standard x-y plane, at which value or values would the graph intersect the y axis? 7𝑟 2 − 14𝑟 = −7 𝑦 = 𝑥 2 + 7𝑥 + 10 A. 2 and 5 A. -1 B. -2 and -5 B. 0 C. 7 C. 1 D. 10 D. 7 3.) Which of the following is the solution set for the quadratic equation below? 7𝑘 2 − 6𝑘 − 5 = −5 A. {−6, −5, 7} 6 B. {7 , 0} C. {6, 7} D. no solution Medium: 6.) Which of the following could be the equation for the polynomial function below? 8.) Which of the following could be the equation for the polynomial function below? A. 𝑦 = 𝑥(𝑥 + 4)(𝑥 − 1) A. 𝑦 = 𝑥(𝑥 + 1)(𝑥 − 3) B. 𝑦 = 𝑥 2 (𝑥 − 1)(𝑥 + 3) 2 C. 𝑦 = 𝑥 (𝑥 + 1)(𝑥 − 3) B. 𝑦 = (𝑥 + 4)2 (𝑥 − 1)2 C. 𝑦 = 𝑥(𝑥 − 4)(𝑥 + 1) D. 𝑦 = (𝑥 − 4)2 (𝑥 + 1)2 D. 𝑦 = 𝑥(𝑥 − 3.3) 7.) Which of the following could be the equation for the polynomial function below? 9.) Which of the following could be the equation for the polynomial function below? A. 𝑦 = 𝑥(𝑥 − 4)(𝑥 − 2) B. 𝑦 = (𝑥 − 4)2 A. 𝑦 = 𝑥(𝑥 + 4)(𝑥 + 2) C. 𝑦 = (𝑥 − 2)(2𝑥 + 3) B. 𝑦 = 𝑥 2 (𝑥 − 4)(𝑥 − 2) D. 𝑦 = (𝑥 + 2)(3𝑥 − 1) C. 𝑦 = 𝑥 2 (𝑥 + 0.75)(𝑥 − 0.75) D. 𝑦 = 𝑥(𝑥 − 3)(𝑥 − 1) 10.) Which of the following could be the equation for the polynomial function below? 12.) How many solutions are there to the following system of equations? 𝑦 = −𝑥 2 − 3𝑥 + 10 𝑦 =𝑥+5 A. 0 B. 1 C. 2 D. 3 A. 𝑦 = −𝑥 2 − 3𝑥 + 1 B 𝑦 = 𝑥 2 − 0.25𝑥 + 3.25 C. 𝑦 = 𝑥 2 − 𝑥 + 3 13.) How many solutions are there to the following system of equations? 1 𝑦 = − 𝑥2 + 7 2 D. 𝑦 = −𝑥 2 + 0.25𝑥 − 3.25 𝑦 = −2𝑥 2 + 5 11.) Which of the following could be the equation for the polynomial function below? A. 0 B. 1 C. 2 D. 3 Hard: 14.) Which of the following is an equation for the function below and gives the coordinates of the vertex as constants or coefficients? A. 𝑦 = −𝑥 2 − 𝑥 + 2 B 𝑦 = 𝑥2 + 𝑥 − 2 C. 𝑦 = 𝑥 2 − 𝑥 − 2 D. 𝑦 = 𝑥 2 − 2.125 A. 𝑦 = −(𝑥 − 3)(𝑥 + 1) B. 𝑦 = −𝑥 2 + 2𝑥 + 3 C. 𝑦 = (𝑥 + 1)2 + 4 D. 𝑦 = −(𝑥 − 1)2 + 4 15.) For which value of k, where k is a constant, does the system of y=k and the function below have exactly 3 solutions? 16.) For which value of p, where p is a constant, does the system of y=p and the function below have exactly 2 solutions? A. -2 A. -2 B. 0 B. 0 C. 3 C. 3 D. 10 D. 10 17.) When g=3, how many solutions are there to the system of y=g and the function below? 18.) What is the sum of the solutions of the following cubic function? 𝑥 3 − 5𝑥 2 + 7𝑥 = 0 A. 0 B. 2 C. 3 D. 6