Quantitative Reasoning Flashcards
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Questions and Answers

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

  • (r + s) x 5 (correct)
  • r + s x 5
  • 5 x r + s
  • 5 + r + s
  • What is the solution to the equation $\frac{1}{2}X + \frac{3}{2}(x + 1) - \frac{1}{4} = 5$?

  • $\frac{5}{2}$
  • $\frac{15}{8}$ (correct)
  • $\frac{17}{8}$
  • $\frac{13}{8}$
  • What is the number of grams in 500 kilograms? (1 kilogram = 1,000 grams)

  • 50,000
  • 500,000 (correct)
  • 5,000
  • 0.5
  • Which flavor of jam had the greatest increase in number of jars sold from Year 1 to Year 2?

    <p>Blueberry</p> Signup and view all the answers

    Which of the following is an equation of the line that crosses the y-axis at (0,3) and passes through (4,5)?

    <p>y = 1/2X + 3</p> Signup and view all the answers

    Which of the following is the best interpretation of the number 11 in the equation M = 12.5h + 11?

    <p>The amount of money, in dollars, Paul earns in addition to an hourly wage.</p> Signup and view all the answers

    Which of the following is closest to the mean population of the 5 largest countries in the European Union in 2014?

    <p>63.7 million</p> Signup and view all the answers

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

    <p>3/8</p> Signup and view all the answers

    At a rate of 1.5 gallons per minute, how long would it take to fill a tub with a 150-gallon capacity?

    <p>100 minutes</p> Signup and view all the answers

    If a right rectangular prism has a volume of 30 cubic inches and a height of 6 inches, what is the area of the base?

    <p>5 square inches</p> Signup and view all the answers

    If Jacoby used 8 cups of flour, how many cups of water did he use if the ratio is 2 cups of water for every 3 cups of flour?

    <p>5 1/3</p> Signup and view all the answers

    Study Notes

    Algebra and Expressions

    • The expression for 5 times the sum of r and s is written as (r + s) x 5, utilizing the correct order of operations.
    • To solve the equation 1/2X + 3/2(x + 1) - 1/4 = 5, simplify it to find the solution X = 15/8.

    Conversions and Measurements

    • 500 kilograms is equivalent to 500,000 grams, as 1 kilogram equals 1,000 grams.
    • Water flows from a pump at 1.5 gallons per minute; it would take 100 minutes to fill a 150-gallon tub.

    Graphs and Data Interpretation

    • In a sales graph, blueberry jam had the greatest increase in jars sold from Year 1 (10 jars) to Year 2 (18 jars), totaling an increase of 8 jars.
    • Population data from a table for five largest EU countries shows the mean population in 2014 is approximately 63.7 million.

    Geometry and Volume

    • The formula for the volume of a right rectangular prism is Volume = Length x Width x Height. For a volume of 30 cubic inches and a height of 6 inches, the base area calculates to 5 square inches.

    Ratios and Proportions

    • If a recipe calls for a ratio of 2 cups of water for every 3 cups of flour, using 8 cups of flour requires 5 1/3 cups of water, derived from the proportion 8 x (2/3).

    Earnings

    • In Paul’s earnings equation M = 12.5h + 11, the number 11 represents additional money earned beyond the hourly rate.

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    Description

    This quiz features flashcards focused on quantitative reasoning, algebra, and statistics concepts. Each card presents a problem or definition, helping students reinforce their understanding and problem-solving skills in mathematics.

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