18. 36 Plug in. Pick any values for the length, width, and height that will give you a volume of 24.
If you say the length is 2, the height is 3, and the width is 4, then the new length, height, and
width will be 1, 9, and 4 respectively. The new volume is 36. No matter what numbers you
set for the initial length, width, and height, you will always get 36 for the new volume.
19. or 0.833
Distribute the 6e on the left side of the equation and the 3e on the right side of the equation
to get 6e^2 + 18e = 6e^2 + 12e + 5. Subtract 6e^2 from both sides of the equation to get 18e =
12 e + 5. Solve for e to get 6e = 5, so e = . The correct answer is .
20. or 0.416 or 0.417
Start by calculating the amount of vitamin C in the entire punch bowl and then calculate
what the equivalent in only one cup would be. To maximize the amount of vitamin C in the
punch bowl, Abeena will need to add as much orange juice, which has the highest
concentration of vitamin C, as she can. Given that the punch bowl holds 9 quarts, she will
pour in 6 quarts of orange juice (which is all she has) and 3 quarts of grape juice. The
amount of vitamin C can be calculated as follows:
Therefore, the 9 quarts of punch contains 15 grams of vitamin C. Next, convert the quarts to
cups. The question tells us that there are 4 cups in 1 quart. Therefore, 9 × 4 = 36 cups in 9
quarts. To figure out how much vitamin C is in one cup, set up the following proportion:
. Cross-multiply to get 36x = 15, or x = = . The correct answer
is . Only reduce a fraction if it is necessary to make it fit in the grid-in box.
Section 4: Math (Calculator)
1. A Whenever the question asks for a specific value and the answer choices are numbers, think
Plugging In the Answers. In (A), a = –0.75. Plug –0.75 in for a in the equation to get 16(–
0.75)^2 + 4(–0.75) – 6 = 0. Solve the left side of the equation to get 16(0.5625) + (–3) – 6 =
0, or 9 – 3 – 6 = 0. Since, this statement is true, the correct answer is (A).