5 . D
First use your calculator to solve for θ:
Then find the tangent of the result:
tan (41.4°) ≈ 0.88
6 . B
A y-intercept of 6 means that one point on the line is (0,6). Plug x = 0 and y = 6 into the
answer choices, and you’ll find that only (B) and (C) work. Now test those two choices with
the x-intercept (−2,0). Of (B) and (C), only (B) works this time.
7 . D
To add fractions, you need a common denominator. Here the LCD is 6y:
8 . B
Let y represent the average score for the boys. Fifteen girls average x, so their 15 scores add
up to 15x. Ten boys average y, so their 10 scores add up to 10y. The 25 students average 90,
so their scores add up to 25 × 90 = 2,250. Now you can set up an equation and solve for y. The
girls’ total and the boys’ total add up to the grand total of 2,250: