Questions and Answers
Which of the following expressions is 5 times as much as the sum of r and s?
What is the solution to the equation $\frac{1}{2}X + \frac{3}{2}(x + 1) - \frac{1}{4} = 5$?
What is the number of grams in 500 kilograms? (1 kilogram = 1,000 grams)
Which flavor of jam had the greatest increase in number of jars sold from Year 1 to Year 2?
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Which of the following is an equation of the line that crosses the y-axis at (0,3) and passes through (4,5)?
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Which of the following is the best interpretation of the number 11 in the equation M = 12.5h + 11?
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Which of the following is closest to the mean population of the 5 largest countries in the European Union in 2014?
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Which of the following fractions is equivalent to $-6 - \frac{-9}{8}$?
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At a rate of 1.5 gallons per minute, how long would it take to fill a tub with a 150-gallon capacity?
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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?
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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?
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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.