ACCUPLACER Quant. Algebra and Stat

Quantitative Reasoning, Algebra and Statistics

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Multiple Choice

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

• 5 × r + s

• 5 + r + s

• r + s × 5

• (r + s) × 5

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

Multiple Choice

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

• 5/2

• 13/8

• 15/8

• 17/8

Multiple Choice

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

• 0.5

• 5,000

• 50,000

• 500,000

Multiple Choice

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

• Blueberry

• Grape

• Peach

• Strawberry

Multiple Choice

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 = 1/2 x + 3

• y = 2x + 3

• y = 1/2 x - 4

• y = 2x - 4

Multiple Choice

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 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

Multiple Choice

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 these countries?

• 80.8 million

• 64.3 million

• 63.7 million

• 60.8 million

Multiple Choice

Which of the following fractions is equivalent to $$\frac{-6 - (-9)}{8}$$ ?

• $$-\frac{3}{8}$$

• $$\frac{3}{8}$$

• $$-\frac{15}{8}$$

• $$\frac{15}{8}$$

Multiple Choice

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?

• 10 minutes

• 15 minutes

• 20 minutes

• 25 minutes

Multiple Choice

What is the change in elevation, to the nearest foot, between the trailhead and the summit?

• 569 feet

• 5,604 feet

• 6,129 feet

• 14,495 feet

Multiple Choice

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?

• –7

• –3

• 3

• 7

Multiple Choice

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 L ∪ (M ∩ N) (the union of L with the intersection of sets M and N)?

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

• {0, 10, 20, 40, 80, 100}

• {20, 40}

• {20}

Multiple Choice

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'?

• (–3, –2)

• (3, –2)

• (–2, 3)

• (2, 3)