Quantitative Reasoning

Welcome to your Quantitative Reasoning

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

Choose the best answer.

4(2x + 7)

8(x + 4)

5x + 17

8x + 13

Which of the following expressions is equivalent to (x^3 * x^2)^3?

Choose the best answer.

x^10

x^15

x^25

x^30

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

Choose the best answer.

5 × r + s

5 + r + s

r + s × 5

(r + s) × 5

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 the prism?

Choose the best answer.

5 square inches

24 square inches

36 square inches

180 square inches

Robert sells four different flavors of jam at an annual farmers market (Blueberry, Grape, Peach, Strawberry). Which flavor of jam had the greatest increase in number of jars sold from Year 1 to Year 2?

Choose the best answer based on the jam sales graph.

Blueberry

Grape

Peach

Strawberry

What is the number of grams in 500 kilograms? (1 kilogram = 1,000 grams)

Choose the best answer.

0.5

5,000

50,000

500,000

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?

Choose the best answer.

y = 1/2*x + 3

y = 2x + 3

y = 1/2*x - 4

y = 2x - 4

The population of 5 largest EU countries in 2014 are: France (65.9M), Germany (80.8M), Italy (60.8M), Spain (46.5M), United Kingdom (64.3M). Which of the following is closest to the mean population of these countries?

Choose the best answer.

80.8 million

64.3 million

63.7 million

60.8 million

In a survey of 50 voters, 20 plan to vote 'yes' on issue P (8 plan 'yes' on Q, 12 plan 'no' on Q). 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?

Choose the best answer.

0.16

0.36

0.40

0.67

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

Choose the best answer.

5/2

13/8

15/8

17/8

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

Choose the best answer.

-7

-3

The elevation at the summit of Mount Whitney is 4,418 meters above sea level. Climbers begin 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 = 0.3048 meters)

Choose the best answer.

569 feet

5,604 feet

6,129 feet

14,495 feet

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

Choose the best answer.

10 minutes

100 minutes

225 minutes

2,250 minutes

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

Choose the best answer.

10 tasks in 0.9 minutes

10 tasks in 2.25 minutes

10 tasks in 9 minutes

10 tasks in 22.5 minutes

Sets L = {0, 20, 40, 80, 100}, M = {5, 10, 15, 20, 25}, and N = {10, 20, 30, 40, 50}. Which of the following sets represents L U (M ∩ N)?

Choose the best answer.

{0, 5, 10, 15, 20, 25, 30, 40, 50, 80, 100}

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

{20, 40}

{20}

Which of the following values is equivalent to 5^-3?

Choose the best answer.

1/15

1/125

-15

-125

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?

Choose the best answer.

The amount of money, in dollars, Paul earns each hour

The total amount of money, in dollars, Paul earns after working for h hours

The total amount of money, in dollars, Paul earns after working for one hour

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

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?

Choose the best answer.

2 2/3

5 1/3

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

Choose the best answer.

-3/8

3/8

-15/8

15/8

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'. What are the coordinates of Q'?

Choose the best answer.

(-3, -2)

(3, -2)

(-2, 3)

(2, 3)