seem intimidating if you don’t know what the ♣ sign means, but remember, the problem gives
you its definition!
17 . B Start with the bottom chart to find that Jamilica is making 10 spheres and 5 pyramids. Each
sphere requires 10 wood squares, and each pyramid requires 5 wood squares. Multiply the
number of spheres by 10 and the number of pyramids by 5. Then add them together to get the
total: 10 × 10 + 5 × 5 = 125. Choice (A) incorrectly accounts for 10 wood squares for both
pyramids and spheres. Choice (E) adds the number of squares of each material required to
make one pyramid.
18 . H Try each answer choice, starting with the smallest one since the question asks for the least
common multiple. Choice (F) is a multiple of 20 but not of 100 or 60. Choice (G) is a
multiple of 60 and 20 but not of 100. Choice (H) is a multiple of 100, 60, and 20, so it is the
correct answer. Even if (J) and (K) give multiples of the three numbers, this problem is
asking for the least common multiple.
19 . B Begin by finding the distance between ValuTime and Burger Burger along Brunswick Ave.
The side lengths given fit the Pythagorean triplet ratio of 3:4:5, multiplied by 2 to create a
6:8:10, so the missing side length is 8. The distance the first customer travels is 10, while the
distance the second customer travels is 6 + 8 = 14. The difference between the two trips is
14 − 10 = 4. If you chose (D) or (E), you haven’t found the difference between the two trips.
20 . J When raising an exponent to a power, multiply the exponents: (y^6 )^12 = y6×12 = y^72.
21 . E Plug In −2 in for x in the f (x) expression: f(−2) = 2(−2)^3 + (−2)^2 = 2(−8) + 4 = −16 + 4 =
−12.
22 . G Plug in $100 for the original price of a repair, r. To increase the price 20%, multiply $100 by
1.2, $100 × 1.2 = $120. Plug r = $100 into the answer choices and find the one that equals
$120. Choice (F) gives 20% of $100 only. Choice (H) subtracts the 20% instead of adding it.
Choice (J) adds .2 to $100 instead of adding .2 × 100. Choice (K) multiplies $100 by 20
instead of by .2.
23 . E If 3 pairs cost $30.97, divide that price by 3 to find the price of one pair: $30.97 ÷ 3 =
$10.32 3 . Then multiply the single pair price by 5: 5: $10.32 3 × 5 = $51.61 6 . Round the
decimal up to get the correct answer, $51.62. Choice (D) incorrectly rounds the decimal
down. Choices (A) and (B) are possible prices for one pair of shoes, and (C) is the price of
two pairs of shoes.
24 . G Plug in a number of days to find a point on the graph. If Terra’s store is open on no days, she
earns no money. Subtracting her expenses then gives 0 −(500) = −500. Choice (G) is the only
