Mathematics Quiz

The video tutorial covers a series of math problems, including calculating the percent reduction in candy bar prices, solving for a variable in terms of another, determining the area of a door trim, ordering numbers based on their value, and finding the product of integers with a specified sum. Each problem is broken down step-by-step, demonstrating mathematical concepts such as algebra, geometry, and arithmetic operations.

What is the percent reduction in the price of two candy bars when the price changes from $0.80 to $0.75?

• 5%

• 6.25%

• 7.5%

• 10%

If the square root of r over s equals s, what is r in terms of s?

• s^2

• s^3

• s^5

• s^4

What is the area of the trim if the door is 6 by 8 feet and the trim is 1 foot wide?

• 32 square feet

• 28 square feet

• 20 square feet

• 16 square feet

What fraction of the door's front surface is covered by the trim?

• 1/2

• 5/12

• 7/12

• 3/4

Which of the following is the correct order of a, a^2, and a^3 if a = -0.3?

• a < a^3 < a^2

• a < a^2 < a^3

• a^3 < a < a^2

• a^2 < a < a^3

If a = -0.3, what is the value of a^2?

• 0.09

• -0.027

• 0.027

• -0.09

Which of the following is the product of two integers whose sum is 11?

• 32

• 14

• -42

• 26

If x + y = 11, which of the following could be the product xy?

• -42

• 33

• 21

• 44

What are the integers whose product is -42 and sum is 11?

• 21 and -2

• 10 and 1

• 14 and -3

• 7 and 6

Which of the following pairs of integers have a product of -42?

• 14 and -3

• 8 and 5

• 6 and 7

• 9 and -4