the positive and negative signs.
30 . J The other vertices of the triangle must be 4 inches from (1,1). Use POE. Choice (F) is 5 units
to the left, and (G) is only 1 unit to the left. Using either right triangles or the distance
formula, you can determine (H) is not long enough, and (K) is too long. Choice (J) is 4 units
due south from (1,1). If you have trouble remembering the distance formula, just sketch and
ballpark!
31 . D Use the Pythagorean theorem: m^2 + n^2 = 6^2 . Isolate m by subtracting n^2 and square rooting
both sides. Choices (A), (B), and (C) do not correctly square each side length before
isolating m. Choice (E) treats side m as the hypotenuse rather than one of the legs of the right
triangle. If you get stuck with the algebra, plug in a value for n, and use your calculator.
32 . G Probability is the fraction of what you want (pear jellybeans) over total number of
possibilities (all jellybeans). Use PITA. There are currently 10 + 16 + 19 = 45 jellybeans in
the jar. Start with (H). If 21 pear jellybeans are added, then there will be a total of 66
jellybeans in the jar. The probability of selecting a pear jellybean will be , which is too
low. Go to (G). If 11 jellybeans are added, there will be a total of 56 jellybeans in the jar.
The probability of selecting a pear jellybeans will be , which simplifies to , making
(G) the correct answer.
33 . C To determine the graph of the equation, you must isolate the y by subtracting 6x and dividing
by 3. The resulting equation is y = −2x + 4, which is a line with a slope of −2 and a y-
intercept of +4. Because the y-intercept is positive, the line crosses y-axis from Quadrant II
to Quadrant I and extends into Quadrant IV. The line never passes through Quadrant II,
eliminating (B), (D), and (E). Choice (A) is a partial answer and does not include Quadrant
I. Remember, in order to avoid doing any figuring, once you’ve got the equation in slope-
intercept form, you can just plug it in to your graphing calculator.
34 . H Substitute the values (3,4n) in for (x,y) in the equation to get 4n = −2(3)^2 + 10. Remember
PEMDAS: 4n = −2(9) + 10, so 4n = −8, and n = −2. Choice (F) results when you mix up the
positive and negative signs. Choices (G) and (J) result when you do not use PEMDAS
correctly. Choice (K) is a partial answer and gives the value of 4n, not n.
35 . D Plug In! Make sure you choose a value for the rent that divides evenly by 3 and 4. Let’s say
the rent is $24. In that case, Jennifer pays $16, Kelly pays $6, and Meredith pays the
