Math 47

Question 1:

If a – b = 5 and c = 8a – 10 – 8b, then c = ?

Question 2:

For x² ≠ 49, (x – 7)²/(x² – 49) = ?

Question 3:

At a time when the sun’s rays are striking the level ground at an angle of 37º, a tower casts a shadow that is 51 feet long, as shown in the figure. To the nearest foot, how many feet tall is the tower? (Note: sin 37º ≈ 0.60, cos 37º ≈ 0.80, tan 37º ≈ 0.75)

Question 4:

The lengths of the sides of a triangle are 3, 8, and 9 inches. How many inches long is the shortest side of a similar triangle that has a perimeter of 120 inches?

Question 5:

For all x > 0, 1/x – 2/3 = ?

Question 6:

A function is defined by g(x) = -x⁵. Which of the following is an expression for g(g(x))?

Question 7:

Greg sampled a group of random college seniors to see if they would rather have a rapper or a rock band for their spring fling concert. Of the 122 students surveyed, 42.8% responded that they would rather have a rapper. Based on this information, about how many students in the 845 senior class would rather have a rock band for the spring concert?

Question 8:

The population of the town of Chappaqua increased from the years 1990 to 1999 by 8.40%. From 2000 to 2004, the towns population decreased by 3.30%. In the years 1990 to 2004, which percentage best represents the change in Chappaqua’s population?