Quantitative Reasoning, Algebra, and Statistics

Triangle PQR lies in the xy-plane, and the coordinates of vertex Q are (2,-3). Triangle PQR is rotated 180' clockwise about the origin and then reflected across the y-axis to produce triangle P'Q'R' where vertex Q' corresponds to vertex Q of triangle PQR. What are the coordinates of Q'?

(2, 3)

The volume of a right rectangular prism is found by multiplying the length of the base by the width of the base by the height of the prism. A right rectangular prism has a volume of 30 cubic inches. If the height of the prism is 6 inches, what is the area of the base of prism?

5 square inches

What is the number of grams in 500 kilograms? (1 kilogram = 1000 grams)

500,000

Which of the following expressions is 5 times as much as sum of r and s?

(r+s)x5

3X-2y= 15, X= 3 The two lines given by the equations above intersect in the xy-plane. What is the value of the y-coordinate of the point of intersection?

-3

The table above shows a survey of 50 registered votes in a city. Each voter was asked whether they planned to vote "yes" or "no" on two different issues. If a voter who plans to vote "yes" on issue P is randomly selected, what is the probability that voter also plans to vote "yes" on issue Q?

0.40

Which of the following values is equivalent to 5 with e= -3?

1/125

It took khalid 90 minutes to complete 40 tasks. Which of the following is an equivalent rate?

10 tasks in 22.5

Water runs from a pump at rate of 1.5 gallons per minute. At this rate, how long would it take to fill a tub with a 150- gallon capacity?

100 minutes

What is the solution to the equation 1/2 x + 3/2 (X + 1) - 1/4 = 5?

15/8

Which of the following fractions is equivalent to -6-(-9)/8?

3/8

4 (X+5) + 4X+8 Which of the following is equivalent to the expression above?

4(2x+7)

Jacoby followed a recipe that requires 2 cups of water for every 3 cups of flour. If he used 8 cups of flour, how many cups of water did he use?

5 1/3

The elevation at the Summit of Mount Whitney is 4,418 meters above sea level. Climbers began at a trailhead that has an elevation of 2,550 meters above sea level. What is the change in elevation, to the nearest foot, between the trailhead and the summit? (1 foot = o.3048 meters)

6,129 feet

The table gives the population of the 5 largest countries in the European Union in the year 2014. Which of the following is closest to the mean population of there countries?

63. million

Robert sells four different flavors of jam at an annual farmers market. The graph above show the number of jars of each type of jam he sold at the market during the first two years. Which flavor of jam had greatest increase in number of jars sold from year 1 to year 2?

Blueberry

The amount of money M, in dollars, Paul earns can be represented by the equation M = 12.5h + 11, Where h is the number of hours Paul works. Which of the following is the best interpretation of the number 11 in the equation?

The amount of money, in dollars, Paul earns in addition to an hourly wage.

Which of the following expressions is equivalent to (X3*X2)5?

x25

In the XY-plane, a line crosses the y-axis at the point (0,3) and passes through the point (4,5). Which of the following is an equation of the line?

y= 1/2x+3

L= {0, 20, 40, 80, 100} M= {5, 10, 15, 20, 25} N= {10, 20, 30, 40, 50} Sets L, M, and N are shown above. Which of the following sets represents Lu (Ml``lN) (the union of L with the intersection of sets M and N)?

{0, 10, 20, 40, 80, 100}