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Expressions, Volume Calculation, and Sales Analysis: A Comprehensive Math Exercise

This math exercise encompasses various tasks, including writing expressions for mathematical phrases, calculating the approximate volume of a sphere using its radius, evaluating specific expressions, and analyzing sales data for spray paint sold by Home Depot. Participants will need to apply their knowledge of algebra, geometry, and arithmetic to complete the tasks and provide clear explanations where required. This exercise not only reinforces mathematical concepts but also encourages critical thinking and problem-solving skills.

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Expressions, Volume Calculation, and Sales Analysis: A Comprehensive Math Exercise

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  1. Station A Write an expression for each word phrase. a) d more than 50 b) 7 decreased by b c) the quotient of 63 and a number k d) 5 less than the quotient of m and n e) 12 greater than the product of 3 and j

  2. Station B The formula for the approximate volume of a sphere with a radius of r feet is: V = 4 (3)(r³) 3 What is the approximate volume, in cubic feet, of a sphere with a radius of 2 feet?

  3. Station C What is the value of the expression below? 12 + 6² × 2 2

  4. Station D Home Depot sells cans of spray paint. The table below shows some amounts of money they receive selling n cans. PART A How much money does Home Depot receive for selling 24 cans? PART B How much money does Home Depot receive for selling 100 cans of spray paint? Explain how you know. CANS OF SPRAY PAINT

  5. Station E Evaluate each expression. 11t – 6v for t = 9 and v = 4 2ab for a = 35 and b = 3 18 – 3y for y = 2.5

  6. Station F In outer space, gravity has less effect on the human body. After a flight, an astronaut’s height can temporarily be 2 inches greater than her normal height h. a) Write an expression for an astronaut’s height at the end of a flight. b) If you were the astronaut, what would YOUR height be at the end of the flight?

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