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?
- 5r+5s
- r+s+5
- 5(r+s) (correct)
- (r+s)x5 (correct)
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 $\frac{1}{2}x + \frac{3}{2}(x + 1) - \frac{1}{4} = 5$?
15/8
What is the number of grams in 500 kilograms? (1 kilogram = 1000 grams)
What is the number of grams in 500 kilograms? (1 kilogram = 1000 grams)
500,000
Which flavor of jam had the greatest increase in the number of jars sold from year 1 to year 2?
Which flavor of jam had the greatest increase in the 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)?
What is the best interpretation of the number 11 in the equation $M = 12.5h + 11$?
What 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 five largest countries in the European Union in 2014?
Which of the following is closest to the mean population of the five largest countries in the European Union in 2014?
Which of the following fractions is equivalent to $-6 - (-9)/8$?
Which of the following fractions is equivalent to $-6 - (-9)/8$?
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?
What is the area of the base of a right rectangular prism with a volume of 30 cubic inches and height of 6 inches?
What is the area of the base of a right rectangular prism with a volume of 30 cubic inches and height of 6 inches?
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?
Which expression is equivalent to $4(X + 5) + 4X + 8$?
Which expression is equivalent to $4(X + 5) + 4X + 8$?
What is an equivalent rate if Khalid took 90 minutes to complete 40 tasks?
What is an equivalent rate if Khalid took 90 minutes to complete 40 tasks?
If a randomly selected voter plans to vote 'yes' on issue P, what is the probability they also plan to vote 'yes' on issue Q?
If a randomly selected voter plans to vote 'yes' on issue P, what is the probability they also plan to vote 'yes' on issue Q?
Which of the following values is equivalent to $5$ with $e = -3$?
Which of the following values is equivalent to $5$ with $e = -3$?
Which expression is equivalent to $(X^3 * X^2)^5$?
Which expression is equivalent to $(X^3 * X^2)^5$?
What is the change in elevation between the trailhead at 2,550 meters and the summit of Mount Whitney at 4,418 meters? (1 foot = 0.3048 meters)
What is the change in elevation between the trailhead at 2,550 meters and the summit of Mount Whitney at 4,418 meters? (1 foot = 0.3048 meters)
Given the equations $3x - 2y = 15$ and $x = 3$, what is the value of the y-coordinate of the point of intersection?
Given the equations $3x - 2y = 15$ and $x = 3$, what is the value of the y-coordinate of the point of intersection?
Which set represents $L \cup (M \cap N)$ for the sets $L= {0, 20, 40, 80, 100}, M= {5, 10, 15, 20, 25}, N= {10, 20, 30, 40, 50}$?
Which set represents $L \cup (M \cap N)$ for the sets $L= {0, 20, 40, 80, 100}, M= {5, 10, 15, 20, 25}, N= {10, 20, 30, 40, 50}$?
What are the coordinates of the point Q' after triangle PQR is rotated 180° clockwise and reflected across the y-axis, given vertex Q at (2,-3)?
What are the coordinates of the point Q' after triangle PQR is rotated 180° clockwise and reflected across the y-axis, given vertex Q at (2,-3)?
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Study Notes
Algebra and Expressions
- Expression representing five times the sum of variables r and s is: (r+s) x 5.
- Equivalent expression for 4(X+5) + 4X + 8 simplifies to: 4(2X + 7).
Equations and Solutions
- Solution to the equation (1/2)X + (3/2)(X + 1) - (1/4) = 5 is: 15/8.
- The y-coordinate of the intersection point for the equation 3X - 2Y = 15 when X = 3 is: -3.
Quantitative Measurements
- 500 kilograms equals: 500,000 grams.
- Change in elevation from the trailhead at 2,550 meters to Mount Whitney at 4,418 meters calculates to: approximately 6,129 feet (using conversion of 1 foot = 0.3048 meters).
Probability and Statistics
- Mean population of the five largest EU countries in 2014 is closest to: 63 million.
- Probability that a voter plans to vote "yes" on issue Q given they plan to vote "yes" on issue P is: 0.40.
Rates and Unit Conversions
- Water from a pump filling a 150-gallon tub at a rate of 1.5 gallons per minute would take: 100 minutes.
- Khalid's recipe of 2 cups water for 3 cups flour uses: 5 and 1/3 cups of water for 8 cups of flour.
Geometry and Shapes
- The volume of a right rectangular prism is calculated using the formula: Volume = length x width x height.
- The base area of a prism with a volume of 30 cubic inches and height of 6 inches is: 5 square inches.
Set Theory and Relations
- Sets L, M, and N provide a union of L with the intersection of sets M and N represented as: {0, 10, 20, 40, 80, 100}.
Functions and Linear Relations
- Equation of the line crossing the y-axis at (0,3) and passing through (4,5) is: y = (1/2)x + 3.
Exponents and Fractions
- Fraction equivalent to the expression -6 - (-9)/8 is: 3/8.
- Expression equivalent to (X^3 * X^2)^5 becomes: X^25.
Transformations
- Coordinates of vertex Q' after a 180-degree rotation and reflection of triangle PQR result in: (2, 3).
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