| |
| |
1. |
The vertex of the graph of the equation y = -x2 + 6x + 1 is |
| |
|
A. |
neither a maximum nor a minimum |
B. |
both a maximum and a minimum |
| |
|
C. |
a maximum |
D. |
a minimum |
| |
|
Hint |
|
| |
2. |
Solve x2 + 4x + 4 = 0 by graphing. |
| |
|
A. |
4 |
B. |
-4, 4 |
| |
|
C. |
-2, 2 |
D. |
-2 |
| |
|
Hint |
|
| |
3. |
Use the quadratic formula to solve 2x2 + 7x + 4 = 0. Approximate the solutions to the nearest hundredth. |
| |
|
A. |
1.28, 3.66 |
B. |
-5.56, -1.44 |
| |
|
C. |
-3.35, -0.15 |
D. |
-2.78, -0.72 |
| |
|
Hint |
|
| |
4. |
Approximate 5(31.8) to the nearest hundredth. |
| |
|
A. |
36.12 |
B. |
27.42 |
| |
|
C. |
32.90 |
D. |
29.16 |
| |
|
Hint |
|
| |
5. |
Which is the graph of y = 2.5x? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
The Mendoza family just bought a house for $180,000. If the value of the house increases at a rate of 3% per year, about how much will it be worth in 10 years? |
| |
|
A. |
$234,000 |
B. |
$258,000 |
| |
|
C. |
$242,000 |
D. |
$250,000 |
| |
|
Hint |
|
| |
7. |
Find the value of b that makes x2 + bx + 36 a perfect square. |
| |
|
A. |
12 |
B. |
6 |
| |
|
C. |
-12, 12 |
D. |
324 |
| |
|
Hint |
|
| |
8. |
Suppose the equation of the axis of symmetry is x = 2. What is the y-coordinate of the vertex? |
| |
|
A. |
4 |
B. |
cannot be determined from given information |
| |
|
C. |
-2 |
D. |
2 |
| |
|
Hint |
|
| |
9. |
In baseball, a pop fly should be easily caught if it stays in the air for 7 seconds. Suppose a ball that is hit can be represented by the function y = –16t2 + 125t + 5, where y is the height after t seconds. Will the ball be considered an easy catch? |
| |
|
A. |
yes, because t > 7 |
B. |
no, because t > 7 |
| |
|
C. |
yes, because t < 7 |
D. |
no, because t < 7 |
| |
|
Hint |
|
| |
10. |
Solve 0.25x2 – 7x – 15 = 0. |
| |
|
A. |
{–5, 3} |
B. |
{3, 15} |
| |
|
C. |
{–2, 30} |
D. |
{4, 30} |
| |
|
Hint |
|
| |
11. |
Which of the following equations will have exactly 1 real root? |
| |
|
A. |
4x2 – 8x + 4 |
B. |
2x2 + 5x – 16 |
| |
|
C. |
9x2 + 12x – 4 |
D. |
x2 – 6x – 9 |
| |
|
Hint |
|
| |
12. |
Suppose inflation of money is at a rate of 3% per year in the United States. How much will a $1 candy bar cost in 30 years? |
| |
|
A. |
$2.43 |
B. |
$1.90 |
| |
|
C. |
$0.40 |
D. |
$4.32 |
| |
|
Hint |
|
| |
13. |
Suppose that the sixth term of a geometric sequence is 1215, and the first term is 5. What is the second term? |
| |
|
A. |
9 |
B. |
12.5 |
| |
|
C. |
8 |
D. |
15 |
| |
|
Hint |
|
| |
14. |
Find the geometric mean in the sequence 4, , 196. |
| |
|
A. |
7 or –7 |
B. |
28 or –28 |
| |
|
C. |
7 only |
D. |
28 only |
| |
|
Hint |
|
|
|