1) Question & Solution: Jeff is training to be a highspeed train driver. The following graph represent his speeds, above 100 miles/hour, during a practice run. In which time frame is his speed constant for a while, then increases, and then decreases.
2) Question & Solution: If “p=cq” , where “c” is a constant. If “p=36” when “q=12”, what is the value of “p”, when “q=10”.
3) Question & Solution: In the figure below, lines A, B and C are parallel to each other. Lines D, E and F are also parallel to each other. Angle 1 has been defined to be 50°. What is the value of angle 2?
4) Question & Solution: If “6+14x”, is 25 more than 9, find the value of 5x.
5) Question & Solution: In the graph shown below, which line on the graph shows that as the rate of change of P decreases, the rate of change of Q increases? Also, as P decreases Q increases.
6) Question & Solution: Given below are the relationship between centiliter, liter and kiloliter. How many centiliters are there in 1 kiloliter?
7) Question & Solution: For the seven countries listed below, the bars show the number of cars. If the total number of cars is 340 million, what should the words, “Axis Title” be replaced by, to accurately reflect the data on the graph.
8) Question & Solution: For what value of x is x−5+5 = 4?
9) Question & Solution: The equation below represents a line on the xy coordinate plane. In the equation below, “m” is the slope of the line and “b” is the intercept of the line on the y-axis. y = mx + b Which of the following is the correct representation of “x”?.
10) Question & Solution: The equation below represents a line on the xy coordinate plane. 2y = 10x + 6 For which value of “x” would “y” be equal to “29”?
11) Question & Solution: For the given inequality 10x−5≥8x−7 which of the following choices is NOT the correct solution.
12) Question & Solution: Based on the graph below, find the approximate average number of “nuts” per cookie?
13) Question & Solution: Use the production data for a plastic manufacturing company in the table below to answer this question. Which cup’s production is about 12% of the shift’s total production?
14) Question & Solution: The table shown below lists the weight of seeds in grams. The reading 0.950 is a mistake. If that data point is removed from the data set, which of the following choices will see the maximum change in its value?
15) Question & Solution: A hardware store lets customers rent a truck and charges them $19 for the first 75 minutes and $5 for each partial or full set of 15 minutes afterwards. If John rented the truck and returned it after 122 minutes, how much does he owe the hardware store? If a customer returns a truck after exactly 75 minutes or 90 minutes or so on, they will be charged at the lower line rate.
16) Question & Solution: Which choice below represents the graph in the previous question?
17) Question & Solution: For the graph shown below, what are the values of x for y=0?
18) Question & Solution: The following two inequalities are lines in the xy coordinate system.
19) Question & Solution: Julie has set up a lemonade stand and is selling lemonade at 99 cents each and cookies at 49 cents each, to collect money for a good cause. On her first day, she sold a total of 150 cups of lemonade and cookies and collected $123.50. How many cups of lemonade did she sell on her first day?
20) Question & Solution: Julie bought a dress at a sale. The sale resulted in a 40 percent discount off the original price. The total amount charged to her credit card was “d” dollars. It included a 7% sales tax on the sale price (i.e. the price after the 30% discount). Which of the choices given below is the original price of the dress in terms of “d”.
21) Question & Solution: The state university conducted a research on correlation between memory loss and sleep inducing medicine. If a random selection is made from among all the people who were interviewed for this research, what is the probability that the person remembered between 6 to 10 jokes? Group “A” represented people who had not taken any sleep inducing medicine. Group “B” represented people who had taken a dose of sleep inducing medicine within one hour of the start of the interview. Please see the table below for details.
For Questions 22 & 23, refer to the given table data
22) Question & Solution: In the choices given below, what is closest to the average rate of change in the number of kids taking AP Biology from 2013 to 2017?
For Questions 22 & 23, refer to the given table data
23) Question & Solution: In the choices given below, which subject’s ratio of its numbers in 2013 and 2017 is closest to ratio of AP French’s numbers in 2013 and 2017?
24) Question & Solution: If the center of a circle is at (5,1) and the point (13,7) is on the circle, what is the equation for the circle?
25) Question & Solution: A basketball is released from the top of a 500 meters tall building. Approximately how much time (in seconds) after being released, will it reach the ground? Use the following formula 73
26) Question & Solution: Sweaters made of natural wool cost 20% more than the ones made out synthetic materials. Based on that observation, if a wool sweater costs $204, how much should a similar sized synthetic materials sweater cost?76
27) Question & Solution: Ten random trees in an orange grove with 1000 trees are numbered “One” through “Ten”. They have the following numbers of oranges on them. Approximately, what is the number of oranges in the orange orchard?
28) Question & Solution: Graph the following inequalities in the xy-plane below. Which quadrant does NOT contain any solutions to the inequalities given below?
29) Question & Solution: Which of the following is equivalent to {(1/100)x^50 + (1/10)}-{(1/50)x^50 - (1/5)}
Solution, for other OS.
30) Question & Solution: If the equation of a parabola is y=-3x^2-6x+4, find the vertex of the parabola.
31) Question & Solution: At his best pace, John can put in at most 10 dozen rivets per hour. At his worst pace, he can put in at least 8 dozen rivets per hour. John has to put in a total of 120 dozen rivets. What is a possible amount of time, in hours, it could take him, to put in those rivets?
32) Question & Solution: The posted weight limit for a boat is 5000 pounds. The weight of the empty boat is 3000 pounds. The weight of the boatman is 200 pounds. How many bricks, each weighing 12 pounds, can the boat carry?
33) Question & Solution: Based on the graph below, what is the ratio of cars sold in 2006 to 2014?
34) Question & Solution: A grocery superstore needs 20 hourly employees, 24 hours a day, 7 days a week to keep things humming along. If each employee can be given work in multiples of 15 minutes time slots, how many 15 minute time slots does the grocery superstore need to fill every week?
35) Question & Solution: John uses a right circular cylinder shown below, to store water. If the volume of the cylinder is 250π cubic feet, what is the diameter of the base of the cylinder in feet? It is given that the height of the cylinder is 10 feet.
36) Question & Solution: For what value of “y” is the function “f” undefined?
37) Question & Solution: Julie opened a bank account. She deposited $1000 as the beginning amount in the account. The bank manager told her that the account would grow at 5% interest compounded annually. The bank manager gave her the formula = $1000iy; where “i” is based on the annual compound interest and “y” represents the number of years after which the compound interest is to be calculated. What should Julie replace the “i” with, if she wants to find the amount of money in her account after “y” years?
38) Question & Solution: Julie’s friend Kristin opened an account at another bank. Kristin was informed that her account would grow at 6% interest compounded annually. Julie’s bank offered her 5% interest compounded annually. If Julie and Kristin both deposit $1000 in their accounts on day 1. They let the money grow in their respective accounts, and do not withdraw anything from their accounts, how much more will Kristin have after 15 years?