Review Questions
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| 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 |
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| 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 |
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| 3. |
If
5x + 3y = 4 and 4x +
4y = 8, what is x – y? |
| (A) |
–6 |
| (B) |
–4 |
| (C) |
0 |
| (D) |
4 |
| (E) |
12 |
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| 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 |
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| 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 |
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| 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) |
 |
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| 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 |
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| 8. |
Solve
for x in the following equation: x2 –
8x + 13 = 0. |
| (A) |
2 ±  |
| (B) |
4 ±  |
| (C) |
4 ±  |
| (D) |
 |
| (E) |
8 ±  |
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| 9. |
What
is  ? |
| (A) |
x2 + 4x +
8 |
| (B) |
4x + 4 |
| (C) |
 |
| (D) |
 |
| (E) |
 |
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| 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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