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SparkNotes: SAT Subject Test: Math Level 2: Review Questions sparknotes.com /testprep/b /testprep/books/sat2/ma ooks/sat2/math2c/chapte th2c/chapter5section9.rhtm r5section9.rhtmll
Review Questions
1. If 3 < x < < 8 and 2 > y > > –5, what is the range of x – – 2 y ? (A)
–7 < x – – 2 y < < 4
(B)
–7 < x – – 2 y < < 12
(C)
–2 < x – – 2 y < < 18
(D)
–1 < x – – 2 y < 18
(E)
7 < x – – 2 y < 18
2. If |5 x + + 2| > 3, which of the following quantities is a possible value of x ? (A)
x = = –2
(B)
= –1 x =
(C)
x = –1 /5
(D)
= 0 x =
(E)
x = 1 /5
3. If 5 x + + 3y = = 4 and 4 x + + 4y = = 8, what is x – – y ? (A)
–6
(B)
–4
(C)
0
(D)
4
(E)
12
4. Tony decides to go on a two-hour run. For the first hour, he runs at a pace of 8 miles per hour. He then increases his rate by 25% for the next hour. How many total miles does Tony run? (A)
16
(B)
17.5
(C)
18
(D)
20
(E)
22
5. A BOOK is originally priced at $55.00—it is a very elegant hardcover by a leading author. But the book is terrible. One month after its release, its price drops by 10%. Two months after its release, its price drops an additional 20%. Three months after its release, its price drops still more, by an additional 10%. What is the price of the book after 3 months? (A)
$33.00
(B)
$34.10
(C)
$34.65
(D)
$35.20
(E)
$35.64
6. A full 20,000 gallon tank is drained over the course of a day. Every hour, 800 gallons of water pour out. During the 20th hour of draining, what fraction of the r emaining water in the tank pours out? (A) (B) (C) (D) (E)
7. What is (2 x 2 – 5 xy )((3y – 2) – 14 xy )? (A) 420 x 4y 3 (B) 10 x 3y + 42 xy 2 + 28 xy (C) 3 x 2y – 4 x 2 + 70 x 2y 2 (D) –28 x 3y + 12 x 2y – 30 xy 2 + 70 x 2y 2 (E) –28 x 3y + 70 x 2y 2 + 6 x 2y –15 xy 2 –4 x 2 + 10 xy
8. Solve for x in the following equation: x 2 – 8 x + 13 = 0. (A)
2 ±
(B)
4 ±
(C)
4 ±
(D)
(E)
8 ±
9. What is ?
(A) (B)
x 2 + 4 x + 8
4 x + 4
(C)
(D)
(E)
10. What is the fifth term of the expansion of ( a + b)8? (A)