Podcast
Questions and Answers
Which of the following expressions is 5 times as much as the sum of r and s?
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 $\frac{1}{2}X + \frac{3}{2}(x + 1) - \frac{1}{4} = 5$?
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)
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?
Which flavor of jam had the greatest increase in number of jars sold from Year 1 to Year 2?
Which of the following is an equation of the line that crosses the y-axis at (0,3) and passes through (4,5)?
Which of the following is an equation of the line that crosses the y-axis at (0,3) and passes through (4,5)?
Which of the following is the best interpretation of the number 11 in the equation M = 12.5h + 11?
Which of the following is the best interpretation of the number 11 in the equation M = 12.5h + 11?
Which of the following is closest to the mean population of the 5 largest countries in the European Union in 2014?
Which of the following is closest to the mean population of the 5 largest countries in the European Union in 2014?
Which of the following fractions is equivalent to $-6 - \frac{-9}{8}$?
Which of the following fractions is equivalent to $-6 - \frac{-9}{8}$?
At a rate of 1.5 gallons per minute, how long would it take to fill a tub with a 150-gallon capacity?
At a rate of 1.5 gallons per minute, how long would it take to fill a tub with a 150-gallon capacity?
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?
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?
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?
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?
Flashcards
Expressing 5 times the sum of 'r' and 's'
Expressing 5 times the sum of 'r' and 's'
To find the expression that is 5 times as much as the sum of 'r' and 's', we multiply the sum of 'r' and 's' by 5. This is represented as (r + s) x 5.
Solving the equation 1/2X + 3/2(x + 1) - 1/4 = 5
Solving the equation 1/2X + 3/2(x + 1) - 1/4 = 5
The solution to the equation 1/2X + 3/2(x + 1) - 1/4 = 5 is 15/8. This can be found by simplifying the equation using algebraic techniques.
Converting kilograms to grams
Converting kilograms to grams
There are 1,000 grams in 1 kilogram. Therefore, 500 kilograms is equal to 500,000 grams.
The jam with the largest increase in sales
The jam with the largest increase in sales
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Equation of a line with given points
Equation of a line with given points
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Interpretation of the constant term in an equation
Interpretation of the constant term in an equation
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Average population of the largest EU countries
Average population of the largest EU countries
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Simplifying a fraction with negative numbers
Simplifying a fraction with negative numbers
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Time to fill a tub with a given rate
Time to fill a tub with a given rate
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Area of the base of a rectangular prism
Area of the base of a rectangular prism
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Calculating the amount of water used given a ratio
Calculating the amount of water used given a ratio
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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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