Math 21

Question 1:

If a=12 and b=-3, what is the value of (-2a+4b)/(a-b)?

Question 2:

Which of the following is a factored form of the expression 16x⁴ – 49y⁸?

Question 3:

The height, h, of an object in feet above the ground is given by the function h(t) = -3t² + 20t, where t represents time, in seconds. How many feet above the ground is the object after 5 seconds?

Question 4:

(2x³)⁵ is equivalent to:

Question 5:

Given a rectangular prism with its dimensions 12 feet by 8 feet by 4 feet, what is the prism’s total surface area, in square feet?

Question 6:

Given the diagram shown, how long is segment AC?

Question 7:

[Non-Calculator] To rake leaves, Tony charges $16 for equipment and $7.50 per hour he spends raking leaves. Buster charges a fee of $14 for equipment and $8 for every hour spent raking leaves. If h represents the hours spent raking leaves, what are all values of h that Tony’s total charge is greater than Buster’s?

Question 8:

[Non-Calculator] The Office of Planning Maintenance in San Francisco estimates the city’s population will decrease by 8 percent every 15 years. If the present population is 837,442, which of the following represents the office’s estimate of the population of the city t years from now?