Math II: Multiple Choice Warm-up Questions
1) Suppose that Jamal can choose to get home from work by taxi and bus.
· When he chooses to get home by taxi, he arrives home after 7 PM 8 percent of the time.
· When he chooses to get home by bus, he arrives home after 7 PM 15 percent of the time.
· Because the bus is cheaper, he uses the bus 60 percent of the time.
What is the approximate probability that Jamal chose to get home from work by bus, given that he arrived home after 7 PM?
a) 0.09 b) 0.14 c) 0.60 d) 0.74
2) A circular pond is modeled by the equation x2 + y2 = 225. A bridge over the pond is modeled by a segment of the equation x – 7y = –75. What are the coordinates of the points where the bridge meets the edge of the pond?
a) (9, 12) and (–12, 9) b) (9, 12) and (12, 9)
c) (9, –12) and (–12, –9) d) (–9, 12) and (12, –9)
3) 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%
4) The equation s = 25x can be used to estimate the speed, s, of a car in miles per hour, given the length in feet, x, of the tire marks it leaves on the ground. A car traveling 90 miles per hour came to a sudden stop. According to the equation, how long would the tire marks be for this car?
a) 355 feet b) 380 feet c) 405 feet d) 430 feet
5) A rectangular rug is placed on a rectangular flood. The width of the floor is 4 feet greater than the length, x, of the floor. The width of the rug is 2 feet less than width of the floor. The length of the rug is 4 feet less than the width of the rug. Which function, R(x), represents the area of the floor not covered by the rug?
a) R(x) = x2 – x + 4 b) R(x) = 2x2 + 4x + 4
c) R(x) = 12x – 4 d) R(x) = 4x + 4
6) The cost of a newspaper advertisement is a function of its size.
· A company wants its advertisement to have a height that is twice its width.
· The newspaper charges a flat rate of $50 plus an additional $10 per square inch.
· The company can spend no more than $2,050 on the advertisement.
What is the maximum height of an advertisement that the company can afford?
a) 5 inches b) 10 inches c) 15 inches d) 20 inches
7) An investment has a balance of $2,000 and earns 3.2% interest each year. If $150 is added at the end of each year by the account holder and no money is withdrawn from the investment, which represents a function that can be used to calculate the investment balance for successive years?
a) Bn = 0.032Bn – 1 + 2,000, Bo = 150
b) Bn = 0.032Bn – 1 + 150, Bo = 2,000
c) Bn = 1.032Bn – 1 + 2,000, Bo = 150
d) Bn = 1.032Bn – 1 + 150, Bo = 2,000
8) Which expression is equivalent to 16x16y-2x-16y632?
a) b) c) d)
9) The towers of a suspension bridge are 800 feet apart and rise 162 feet higher than the road. Suppose that the cable between the towers has the shape of a parabola and is 2 feet higher than the road at the point halfway between the towers.
/ What is the approximate height of the cable 120 feet from either tower?a) 80 feet
b) 74 feet
c) 22 feet
d) 16 feet