| |
| |
1. |
Find the coordinates of the vertex of the graph of the equation y = x2 - 5x + 7. |
| |
|
A. |
 |
B. |
(5, 7) |
| |
|
C. |
 |
D. |
(0, 7) |
| |
|
Hint |
|
| |
2. |
Find the coordinates of the vertex of the graph of the equation y = -3x2 - 12x - 5. |
| |
|
A. |
(-4, -5) |
B. |
(2, -41) |
| |
|
C. |
(-2, 7) |
D. |
(1, -20) |
| |
|
Hint |
|
| |
3. |
What are the real roots of the quadratic equation whose related function is graphed below? |
| |
|
 |
| |
|
A. |
-4 |
B. |
-2 |
| |
|
C. |
4 |
D. |
-4, 4 |
| |
|
Hint |
|
| |
4. |
Solve x2 + 4x + 4 = 0 by graphing. |
| |
|
A. |
-4, 4 |
B. |
-2 |
| |
|
C. |
-2, 2 |
D. |
4 |
| |
|
Hint |
|
| |
5. |
Use the quadratic formula to solve x2 + 2x - 8 = 0. |
| |
|
A. |
-2 |
B. |
-4, -2 |
| |
|
C. |
-4 |
D. |
-4, 2 |
| |
|
Hint |
|
| |
6. |
Solve a2 - a - 20 = 0 by completing the square. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
-5, 4 |
D. |
-4, 5 |
| |
|
Hint |
|
| |
7. |
Solve x2 – 16x – 17 = 0 by completing the square. |
| |
|
A. |
{–1, 17} |
B. |
{–1, 13} |
| |
|
C. |
{1, 17} |
D. |
{1, 13} |
| |
|
Hint |
|
| |
8. |
How many real roots are there for the equation 2x2 + 6x + 3? |
| |
|
A. |
1 |
B. |
cannot be determined from given information |
| |
|
C. |
0 |
D. |
2 |
| |
|
Hint |
|
| |
9. |
For equations of the form y = ax, where a is a constant, what is true about a if the y-values change little for small values of x, but increase quickly for large x values? |
| |
|
A. |
–1 < a < 0 |
B. |
a = 1 |
| |
|
C. |
0 < a < 1 |
D. |
a > 1 |
| |
|
Hint |
|
| |
10. |
A guest on a talk show tends to receive many phone calls right after she is on the show, and then the calls become less frequent. This can be represented by the equation y = 20(0.53)d, where y is the number of phone calls after d days. On what day should she expect to have 3 calls? |
| |
|
A. |
2 |
B. |
3 |
| |
|
C. |
15 |
D. |
10 |
| |
|
Hint |
|
| |
11. |
Nancy invests $100 in one account for ten years at a 9% interest rate compounded annually, and she invests $150 in an account for 10 years at a 6% interest rate compounded semi-annually. How much money will she have in the accounts after 10 years? |
| |
|
A. |
$236.74 |
B. |
$507.65 |
| |
|
C. |
$270.92 |
D. |
$505.36 |
| |
|
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. |
$4.32 |
| |
|
C. |
$0.40 |
D. |
$1.90 |
| |
|
Hint |
|
| |
13. |
A formula in which the nth term of a sequence is expressed in terms of the previous term, as in is called what? |
| |
|
A. |
geometric |
B. |
dependent |
| |
|
C. |
exponential |
D. |
recursive |
| |
|
Hint |
|
| |
14. |
What is the eighth term of the geometric sequence whose first three terms are 3, 6, and 12? |
| |
|
A. |
128 |
B. |
768 |
| |
|
C. |
256 |
D. |
384 |
| |
|
Hint |
|
|
|