| |
| |
1. |
Find the equation of the axis of symmetry of the graph of y = 2x2 - 8x + 5. |
| |
|
A. |
x = -4 |
B. |
x = -2 |
| |
|
C. |
x = 2 |
D. |
x = 4 |
| |
|
Hint |
|
| |
2. |
Use the quadratic formula to solve 3y2 + 2 = 8y. Approximate the solutions to the nearest hundredth. |
| |
|
A. |
0.43, 2.87 |
B. |
0.28, 2.39 |
| |
|
C. |
0.56, 4.77 |
D. |
-0.64, 1.32 |
| |
|
Hint |
|
| |
3. |
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. |
$250,000 |
B. |
$258,000 |
| |
|
C. |
$234,000 |
D. |
$242,000 |
| |
|
Hint |
|
| |
4. |
Find the value of b that makes x2 + bx + 36 a perfect square. |
| |
|
A. |
-12, 12 |
B. |
12 |
| |
|
C. |
324 |
D. |
6 |
| |
|
Hint |
|
| |
5. |
Find the vertex of y = –2x2 + 4x – 3, and tell whether it is a maximum or minimum. |
| |
|
A. |
(1, –1), maximum |
B. |
(–1, –9), maximum |
| |
|
C. |
(–1, 1), maximum |
D. |
(1, 3), minimum |
| |
|
Hint |
|
| |
6. |
The sum of two numbers is 2, and the product is 3. What are the numbers? |
| |
|
A. |
no solution |
B. |
–1 and 3 |
| |
|
C. |
1 and 1 |
D. |
1 and –3 |
| |
|
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. |
no, because t < 7 |
| |
|
C. |
yes, because t < 7 |
D. |
yes, because t > 7 |
| |
|
Hint |
|
| |
8. |
When using a quadratic equation of the form ax2 + bx + c = 0 to find distances, what should always be ignored? |
| |
|
A. |
any negative solution |
B. |
any solution if is negative |
| |
|
C. |
any positive solution |
D. |
any solution if a is negative |
| |
|
Hint |
|
| |
9. |
Which of the following equations will have exactly 1 real root? |
| |
|
A. |
2x2 + 5x – 16 |
B. |
9x2 + 12x – 4 |
| |
|
C. |
4x2 – 8x + 4 |
D. |
x2 – 6x – 9 |
| |
|
Hint |
|
| |
10. |
Use a graph in order to approximate . |
| |
|
A. |
112.6 |
B. |
0.0089 |
| |
|
C. |
133.4 |
D. |
0.0045 |
| |
|
Hint |
|
| |
11. |
Given the coordinates (0, 3), (1, 11), (2, 19), (3, 27), would a graph of these points exhibit exponential behavior? |
| |
|
A. |
yes, exponential behavior only |
B. |
yes, exponential and linear behavior |
| |
|
C. |
no, it would display linear behavior |
D. |
no, it would not display exponential or linear behavior |
| |
|
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. |
$713.82 |
B. |
$1,713.82 |
| |
|
C. |
$741.02 |
D. |
$1,741.02 |
| |
|
Hint |
|
| |
13. |
What are the next three terms of the geometric sequence 4, 10, 25,…? |
| |
|
A. |
100, 250, 1000 |
B. |
62.5, 156.25, 390.625 |
| |
|
C. |
100, 400, 1600 |
D. |
62.5, 312.5, 1562.5 |
| |
|
Hint |
|
| |
14. |
A formula in which the nth term of a sequence is expressed in terms of the previous term, as in is called what? |
| |
|
A. |
dependent |
B. |
recursive |
| |
|
C. |
geometric |
D. |
exponential |
| |
|
Hint |
|
|
|