| |
| |
1. |
Which is the graph of the equation y = 2x2 - 1? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
What are the real roots of the quadratic equation whose related function is graphed below? |
| |
|
 |
| |
|
A. |
3, -1 |
B. |
3 |
| |
|
C. |
-3, 1 |
D. |
-1, -3 |
| |
|
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. |
If a $5000 piece of equipment looses value at a rate of 5% per year, how much will it be worth after 5 years? |
| |
|
A. |
$4279.35 |
B. |
$3868.90 |
| |
|
C. |
$4011.62 |
D. |
$6381.41 |
| |
|
Hint |
|
| |
5. |
Solve x2 - 4x + 1 = 0 by completing the square. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
1, 3 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Find the vertex of y = –2x2 + 4x – 3, and tell whether it is a maximum or minimum. |
| |
|
A. |
(1, 3), minimum |
B. |
(1, –1), maximum |
| |
|
C. |
(–1, –9), maximum |
D. |
(–1, 1), maximum |
| |
|
Hint |
|
| |
7. |
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. |
no, because t > 7 |
B. |
yes, because t > 7 |
| |
|
C. |
yes, because t < 7 |
D. |
no, because t < 7 |
| |
|
Hint |
|
| |
8. |
Solve x2 – 12x + 34 = 0 by taking the square root of each side. |
| |
|
A. |
 |
B. |
{5, 7} |
| |
|
C. |
 |
D. |
{6} |
| |
|
Hint |
|
| |
9. |
How many real roots exist if the discriminant of the equation = 0? |
| |
|
A. |
1 |
B. |
2 |
| |
|
C. |
0 |
D. |
cannot be determined from given information |
| |
|
Hint |
|
| |
10. |
Use a graph in order to approximate  . |
| |
|
A. |
0.0045 |
B. |
112.6 |
| |
|
C. |
0.0089 |
D. |
133.4 |
| |
|
Hint |
|
| |
11. |
Use a graph to approximate 31.2. |
| |
|
A. |
3.12 |
B. |
5.4 |
| |
|
C. |
3.7 |
D. |
0.27 |
| |
|
Hint |
|
| |
12. |
Ricky invested $1000 in an account at 8% interest compounded quarterly. How much money will he have earned on the account after 7 years? |
| |
|
A. |
$741.02 |
B. |
$1,713.82 |
| |
|
C. |
$713.82 |
D. |
$1,741.02 |
| |
|
Hint |
|
| |
13. |
Determine whether the sequence 3, 12, 48, 192 is geometric. If so, find its common ratio. |
| |
|
A. |
geometric, r = 3 |
B. |
geometric, r = 9 |
| |
|
C. |
geometric, r = 4 |
D. |
not geometric |
| |
|
Hint |
|
| |
14. |
Find the next two terms of the geometric sequence 50, 40, 32, … |
| |
|
A. |
25.6, 20.48 |
B. |
28.5, 25.52 |
| |
|
C. |
26, 22 |
D. |
24, 16 |
| |
|
Hint |
|
|
|