Math 15

Question 1:

The figure shown is composed of square ABCE and equilateral triangle CDE. The length of segment AE is 5 inches. What is the perimeter of ABCDE, in inches?

Question 2:

A 7-pound bag of carrots costs $2.30 at Store A. At Store B, a 4-pound bag of carrots costs $1.80. Approximately how much more, per pound, are the carrots at Store B than Store A?

Question 3:

What is the slope of the line represented by the equation 3y + 2x = 9?

Question 4:

Given f(x) = -3x + 4 and g(x) = 2x² + 3. Which of the following is the value of g(f(-2))?

Question 5:

In the figure shown, D lies on segment CE, segment BD bisects ∠ADE, and segment AD bisects ∠CDB. What is the measure of ∠CDB?

Question 6:

In the right triangle shown, one of the angle measures in the triangle is sin^-1(a/b). What is cos[sin^-1(a/b)]?

Question 7:

[Non-Calculator Question] Jeb can peel at most 15 apples an hour and peel at least 10 apples per hour. Given this information, what is the least amount of time, in hours, it would take Jeb to peel 90 apples?

Question 8:

[Calculator Question] How many unique ways can you rearrange the letters of the word COATS into a 5 letter word without repeating a letter?