Math 32

Question 1:

An online cooking website is offering a prize for the best dessert recipe submitted by readers. A recipe receives 1 rating point for every 200 people that give it a “thumbs up.” The rating for a pecan pie was 4.0. The rating for a flourless chocolate cake was 1.0. How many more “thumbs up” did the pecan pie get compared to the flourless chocolate cake?

Question 2:

How many 1-foot-square wooden planks would completely cover the rectangular dock 12 feet wide by 16 feet long and the two rectangular piers 10 feet wide by 4 feet long in the illustration?

Question 3:

To locate the point (-7, 4) in the standard (x, y) coordinate plane, in which of the following directions should you move your pen from the origin?

Question 4:

All of the triangles shown in the figure are equilateral (their sides are the same length). An isosceles trapezoid is a 4-sided figure with two parallel sides and two non-parallel sides which are equal in length. How many isosceles trapezoids can be found in the figure?

Question 5:

A circle with radius r is inscribed in a square. What is the length of the diagonal of the square, in terms of r?

Question 6:

The operation # is defined by the following rule: a # b = a + 4 – a × b + b. For example, 3 # 5 = 3 + 4 – 3×5 + 5 = -3. If a # b = b # a, then which of the following describes all the possible values of a and b?

Question 7:

Which of the following graphs show a relationship between kinetic energy (KE) and position, that resemble a trend with the equation f(x) = gx^h + c, where 0 < h ≤ 1, g is negative, and c is some constant.

Question 8:

f(x) = (x + 7)(x – 5)

Which of the following functions is an equivalent form of the function f above in which the minimum value of f appears as a constant or coefficient?