- A The tallest hill that Adam measures is 55 feet high. Since 1 foot is equivalent to 12 inches,
simply multiply 55 × 12 = 660 inches, (A).
11. B Triangle legs LN and MN are opposite and adjacent, respectively, to y. Therefore, from
SOHCAHTOA, we need to use the tangent trigonometric function. Plugging in the values
that the question gives us into the equation for tangent, we get tan 40° = . Now, use
your calculator to determine that the length of MN most closely approximates 9.53, which is
(B).
- D If you represent the wooden skateboards with a w and the composite skateboards with a c,
you can write two equations based on the information given in the question: 2w + 3c = 650
and 3w + c = 450. It is possible to isolate one of the variables and solve these two
equations by substitution, but in this case it is easier simply to stack the equations on top of
each other and add them together as follows:
Since the question asks for the price of five wooden skateboards and four composite
skateboards, the answer is (D).
- D The question states that the number of employees increases at the same rate per year, so you
can determine this numerical increase by subtracting one year’s total from the next year’s
total. Subtracting the 2013 total from the 2014 total gives 2,110 – 1,890 = 220. To find the
total in 2015, add 220 to the 2014 total: 2,110 + 220 = 2,330. The question also states that
the male percentages continue to decrease at the same rate, which, based on the data in the
table, is 5% per year. The percent male in 2014 was 55%, so the percent male in 2015 will
be 50%. 50% of 2,330 can be expressed as (2330) or (0.5)(2330) = 1,165, which is
(D).
- B The formula for determining an average can be expressed by Average = . Plug
the values provided into the equation as follows: 11 = , or 11
= . Multiply both sides by 7 to get 77 = 67 + x. Subtract 67 from both sides to get x
