The following table shows the length and width of a rectangle: Length Width Rectangle A 4x + 5 3x − 2 Which expression is the result of the perimeter of rectangle A and demonstrates the closure property? A.14x + 6; the answer is a polynomial B.14x + 6; the answer may or may not be a polynomial C.2x + 6; the answer is a polynomial D.2x + 6; the answer may or may not be a polynomial Question 2(Multiple Choice Worth 1 points) (06.03 MC) Choose the correct simplification of the expression (5xy5)2(y3)4 A.25x2y22 B.10x2y22 C.25x3y14 D.10x3y14 Question 3(Multiple Choice Worth 1 points) (06.05 MC) Aurora is selling tickets to a carnival. The function f(x) = 0.5x represents the amount of money Aurora earns per ticket, where x is the number of tickets she sells. The function g(x) = 8x represents the number of tickets Aurora sells per hour, where x is the number of hours she works. Find f(g(x)), and explain what it represents. A. f(g(x)) = 4x, which represents the money Aurora made in dollars per hour B. f(g(x)) = 4x, which represents the number of tickets Aurora sold per hour C. f(g(x)) = 16x, which represents the money Aurora made in dollars per hour D. f(g(x)) = 16x, which represents the number of tickets Aurora sold per hour Question 4(Multiple Choice Worth 1 points) (06.04 LC) Choose the correct simplification of the expression −3x2(5x − 4x2 − 6). −7x4 + 2x3 − 9x2 12x4 − 15x3 + 18x2 12x4 + 15x3 + 18x2 −12x4 + 15x3 − 18x2 Question 5(Multiple Choice Worth 1 points) (06.02 MC) Simplify (6x2 − 3 − 5x3) − (4x3 + 2x2 − 8). A. 9x3 − 4x2 − 5 B. −9x3 + 4x2 + 5 C. x3 − x2 − 13x3 D. −x3 + x2 + 13x3 Question 6(Multiple Choice Worth 1 points) (06.01 LC) Choose the correct classification of 5x + 2x2 − 8 by number of terms and by degree. A. Third degree polynomial B. Fourth degree trinomial C. Second degree trinomial D. Sixth degree polynomial Question 7(Multiple Choice Worth 1 points) (06.04 MC) Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5). A.6x3 − 24x2 + 9x − 30 B. 6x3 + 9x + 30 C.6x3 − 24x2 + 9x + 30 D.6x3 − 24x2 + 39x + 30 Question 8(Multiple Choice Worth 1 points) (06.04 LC) Choose the correct product of (6x − 2)(6x + 2). A.36x2 + 4 B.36x2 − 24x + 4 C. 36x2 + 24x + 4 D. 36x2 − 4 Question 9(Multiple Choice Worth 1 points) (06.04 MC) Choose the correct product of (3x − 8)2. A.9x2 − 64 B.9x2 + 64 C. 9x2 − 48x + 64 D. 9x2 + 48x + 64 Question 10(Multiple Choice Worth 1 points) (06.01 LC) Choose the polynomial that is written in standard form. A. 2x2 + 3x4 + 10x6 B. 4x4 + 6x3 + 10x4 C. −3x8 + 9x2 + 10x C. −7x6 + x3 + 10x8 Question 11(Multiple Choice Worth 1 points) (06.04 MC) The length of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the function W(x) = 2x2 − 4x + 13. Which of the following shows the area of the rectangle in terms of x? A. (L • W)(x) = 10x3 − 4x + 13 B. (L • W)(x) = 10x3 − 20x2 + 65x C. (L + W)(x) = 2x2 + 1x + 13 D. (L + W)(x) = 2x2 − 9x + 13 Question 12(Multiple Choice Worth 1 points) (06.05 MC) Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car is c(p) = 0.85p, where p is the original price of the car. He also knows he has to pay 9% sales tax on the car. The price of the car with tax is f(c) = 1.09c, where c is the sale price of the car. Determine the composite function that can be used to calculate the final price of Jonah's car. A. c[f(c)] = 1.94c B. f[c(p)] = 0.9265p C. c[f(c)] = 0.9265c D. f[c(p)] = 1.94p Question 13(Multiple Choice Worth 1 points) (06.03 LC) Choose the correct simplification of the expression 3 times b all over a to the power of negative 2. A. 3a2b B. a to the 2nd power over 3 times b C. 3 times a to the 2nd power all over b D. Already simplified Question 14(Multiple Choice Worth 1 points) (06.02 LC) Choose the correct sum of the polynomials (4x3 − 2x − 9) + (2x3 + 5x + 3). 6x3 − 3x − 6 2x3 − 7x − 12 6x3 + 3x − 6 2x3 + 3x − 3 Question 15(Multiple Choice Worth 1 points) (06.05 MC) Emma burns 350 calories per hour biking. This can be represented with the function c(h) = 350h, where h is the number of hours spent biking. Her mother asked her to tow her little sister in the bike trailer, which causes her to burn twice as many calories. This can be represented by the function t(c) = 2c, where c is the number of calories burned per hour. Write a function that will help Emma calculate the number of calories she will burn per hour while biking with her sister in the bike trailer. c[t(c)] = 175c t[c(h)] = 175h c[t(c)] = 700c t[c(h)] = 700h