Quantitative Reasoning Flashcards

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?

Blueberry 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)?

y = 1/2X + 3 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?

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

63.7 million Signup and view all the answers

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

3/8 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?

100 minutes 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?

5 square inches 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?

5 1/3 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.

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.