Math 2 eoc practice
8. The graph of f(x) = 2x^2 - 3x + 5 will be translated 8 units down, producing the graph of q(x). Which equation represents the new function, q(x)? A q(x) = 2x2 - 3x - 3 B q(x) = 2x2 - 11x + 5 C q(x) = 2x2 - 3x + 13 D q(x) = 2x2 + 5x + 5
a
A toy company is trying to determine how much to charge for a new toy. A sales consultant determined the function, , to model the daily profit where c represents the price charged for the toy. According to the function, which of the following are not true? A. $27.50 is the price charged that would maximize the daily profit B. the maximum daily profit is $450 C. the daily costs for the company is $700 D. the company must charge between $20 and $35 in order to make a profit
a
11. The length of a rectangular prism is 4 square root 3 units. The height is 3 square root 6 units. If the volume is irrational, which could be the measure of the width of the rectangular prism? A 2 50 B 4 12 C 5 8 D 7 18
b
12. Which function is equivalent to y = x^2 - 6x + 10? A y = (x + 3)^2 - 1 B y = (x - 3)^2 + 1 C y = (x + 6)^2 - 10 D y = (x - 6)^2 + 10
b
9. The equation 2x^2 - 5x = -12 is rewritten in the form of 2(x - p)^2 + q = 0. What is the value of q? A 167/16 B 71/8 C 25/8 D 25/16
b
The function f(x) = x^2 is translated 2 units to the right and 3 units up. Which of the following represents the translated function? A. x^2 − 4x − 1 B. x^2 − 4x + 7 C. x^2 + 4x + 7 D. x^2 + 4x − 1
b
The value, V, of a car can be modeled by the function V(t) = 13,000(0.82)t, where t is the number of years since the car was purchased. To the nearest tenth of a percent, what is the monthly rate of depreciation? A 1.5% B 1.6% C 9.2% D 18.0%
b
Which function rule will rotate a geometric figure 90° clockwise? A. f(x, y) = (x, −y) B. f(x, y) = (−x, y) C. f(x, y) = (y, −x) D. f(x, y) = (−y, x)
b
24. Jane has a bag of 4 purple marbles, 2 yellow marbles, and 5 green marbles. Jane is going to pull out one marble, put it back, and draw another. What is the probability of Jane pulling out a yellow marble and then a purple marble? Are those two events independent or dependent and why? A. 0.55; independent, because those two events do not affect each other B. 0.55; dependent, because those two events affect each other C. 0.07; independent, because those two events do not affect each other D. 0.07; dependent, because those two events affect each other
c
For a carnival game, a jar contains 20 blue marbles and 80 red marbles. Children take turns randomly selecting a marble from the jar. If a blue marble is chosen, the child wins a prize. After each turn, the marble is replaced. Casey has drawn six red marbles in a row. Which statement is true? A If Casey selects another red marble, then 2 of her next 3 picks will be blue marbles because 2 blue marbles are selected for every 8 red marbles selected. B The probability that Casey selects a blue marble on the next turn is higher than it was on her last turn because she has chosen so many red marbles in a row. C The probability that Casey selects a blue marble on her next turn is the same as it was on the last turn because selections are independent of each other. D If Casey draws 4 more times, she will select 2 blue marbles because the probability that a blue marble will be selected is 2 out of every 10 turns.
c
The sum of two numbers is 24. The sum of the squares of the two numbers is 306. What is the product of the two numbers? A 119 B 128 C 135 D 144
c
A plane intersects a regular triangular pyramid. The plane is parallel to one of the faces of the pyramid. What type of polygon is formed at the intersection? A square B right triangle C isosceles trapezoid D isosceles triangle
d