Review Questions
Review Questions
1. If 3 < x < 8 and 2 > y > –5, what is the range of x – 2y?
(A) –7 < x – 2y < 4
(B) –7 < x – 2y < 12
(C) –2 < x – 2y < 18
(D) –1 < x – 2y < 18
(E) 7 < x – 2y < 18
2. If |5x + 2| > 3, which of the following quantities is a possible value of x?
(A) x = –2
(B) x = –1
(C) x = –1 /5
(D) x = 0
(E) x = 1 /5
3. If 5x + 3y = 4 and 4x + 4y = 8, what is xy?
(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 remaining water in the tank pours out?
(A)
(B)
(C)
(D)
(E)
7. What is (2x2 – 5xy)((3y – 2) – 14xy)?
(A) 420x4y3
(B) 10x3y + 42xy2 + 28xy
(C) 3x2y – 4x2 + 70x2y2
(D) –28x3y + 12x2y – 30xy2 + 70x2y2
(E) –28x3y + 70x2y2 + 6x2y –15xy2 –4x2 + 10xy
8. Solve for x in the following equation: x2 – 8x + 13 = 0.
(A) 2 ±
(B) 4 ±
(C) 4 ±
(D)
(E) 8 ±
9. What is ?
(A) x2 + 4x + 8
(B) 4x + 4
(C)
(D)
(E)
10. What is the fifth term of the expansion of (a + b)8?
(A) 8ab
(B) 70a5b3
(C) 56a3b5
(D) 70a4b4
(E) 35a4b4
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