PRACTICE TEST 1—PART 2
1. Part 2—Mathematics
E
Follow the order of operations. Operations inside parentheses must be done first, so 5(8 − 7) becomes 5 × 1, and 7(5 − 8)
becomes 7 × (−3). So the expression now reads (5 × 1) − [7 × (−3)], or 5 − (−21), which is 26, choice (E).51.
H
First, you must see that there are two rates by which John gets paid: one for the first 40 cars ($6 per car) and a different rate
for all other cars after those first 40 ($6 per hour plus 50% of $6, which is $6 + $3, or $9 per car). Since he makes 48 cars,
he gets paid $6 × 40 cars ($240) plus 8 extra cars at $9 per car ($72) which totals $312.52.
D
Plug in the values given for b and c into the equation a = 2b + 3c − 8. Then a = (2 × 2) + (3 × 3) − 8, or a = 4 + 9 − 8, so a =
5.53.
H
This problem sets up relationships among large, medium, and small sodas—2 large (L) sodas are equal to 3 medium (M), and
2 medium are equal to 3 small (S): 2L = 3M and 2 M = 3S. The goal is to find what 8L is equivalent to. Therefore, multiply
both sides of the first equation by 4, getting 8 L = 12M, and then multiply the second equation by 6, resulting in 12 M = 18S.54.
E
Remember PEMDAS? Operations inside parentheses come first, so −2[(−18) ÷ 6] becomes −2(−3), and 5[8 ÷ (−4)] becomes
5(−2). The full expression now reads −2(−3) − [5 × (−2)], or 6 − (−10), which is 6 + 10, or 16.55.
F
First you must determine how many ice cream bars there are in total by adding all the numbers (4 + 3 + 12 = 19). Since there
are only 3 vanilla bars, the probability of Henry getting one is 3 out of 19, or56.
B
If the area is 48, the length is 8, and Area = Length × Width, then 48 = 8 × w and w is 6. The perimeter is 2 × ℓ + 2 × w which
is 2 × 8 + 2 × 6, or 16 + 12 = 28.57.
H
If Paris is 6 hours ahead of NYC and the speech begins at 5 PM in Paris, then it begins at 11 AM in NYC. The speech ends 3.5
hours later, which is 2:30 PM in NYC.