| |
| |
1. |
Which statement is true about the graph shown below? |
| |
|
 |
| |
|
A. |
The relation is not a function. |
B. |
The range is {-3, -2, 0, 1}. |
| |
|
C. |
The domain is {-3, 2, 4}. |
D. |
The relation is a function. |
| |
|
Hint |
|
| |
2. |
Determine the slope of the line that passes through the points at (1, 5) and (-4, 0). |
| |
|
A. |
0 |
B. |
1 |
| |
|
C. |
-1 |
D. |
 |
| |
|
Hint |
|
| |
3. |
What is the first step in solving the matrix equation
 |
| |
|
A. |
Find the inverse of  |
| |
|
B. |
Multiply each side of the matrix equation by  |
| |
|
C. |
Multiply each side of the matrix equation by the identity matrix. |
| |
|
D. |
Divide each side of the matrix equation by  |
| |
|
Hint |
|
| |
4. |
The graph of the equation -x2 + 4y2 - 10x - 8y - 29 = 0 is a(n) _____. |
| |
|
A. |
ellipse |
B. |
parabola |
| |
|
C. |
circle |
D. |
hyperbola |
| |
|
Hint |
|
| |
5. |
Find the vertex of the graph of f(x) = x2 + 4x - 5. |
| |
|
A. |
(-2, 9) |
B. |
(-2, -9) |
| |
|
C. |
(0, -5) |
D. |
(2, 7) |
| |
|
Hint |
|
| |
6. |
The curve shown is________. |
| |
|
 |
| |
|
A. |
positively skewed |
B. |
not skewed |
| |
|
C. |
negatively skewed |
D. |
normal |
| |
|
Hint |
|
| |
7. |
Radioactivity The half-life of uranium-232 is 72 years. Find the approximate value of k in the formula y = nekt for uranium-232. Assume t is in years. |
| |
|
A. |
-0.0048 |
B. |
0.0012 |
| |
|
C. |
-0.0096 |
D. |
-0.0024 |
| |
|
Hint |
|
| |
8. |
The length of the arc of the swing of a pendulum is 120 mm. If the length of the arc of each succeeding swing is decreased by 10%, find the total distance the pendulum travels before it stops. |
| |
|
A. |
1200 mm |
B. |
800 mm |
| |
|
C. |
1000 mm |
D. |
90 mm |
| |
|
Hint |
|
| |
9. |
Write y = cos 60° in the form of an inverse function. |
| |
|
A. |
60° = Arccos y |
B. |
60° = sin y |
| |
|
C. |
y = Arccos 60° |
D. |
60° = cos y |
| |
|
Hint |
|
| |
10. |
Solve x + 7 < 5 or x + 6 > 9. |
| |
|
A. |
{x | -2 > x > 3} |
B. |
{x | -2 < x < 3} |
| |
|
C. |
{x | x < -2 or x > 3} |
D. |
{x | x > -2 or x < 3} |
| |
|
Hint |
|
| |
11. |
Given that and use the fact that to find AB + AC. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Suppose has vertices A(3, 4), B(-2, 1) and C(2, –3). Dilate so that its perimeter is one-fourth the original perimeter. What are the coordinates of the vertices of  |
| |
|
A. |
   |
| |
|
B. |
   |
| |
|
C. |
   |
| |
|
D. |
   |
| |
|
Hint |
|
| |
13. |
Which method of finding solutions would work best to find the solutions to the system 12.4x – 3.66y = 12.19, 3.9x + 6.17y = 19.28, and why? |
| |
|
A. |
Cramer's Rule, because none of the other methods will correctly solve the problem |
| |
|
B. |
Cramer's Rule, because there are fewer calculations. |
| |
|
C. |
elimination, because 6.17 is a factor of 3.66 |
| |
|
D. |
elimination, because Cramer's Rule doesn't apply to this problem |
| |
|
Hint |
|
| |
14. |
Which of the following is a matrix equation for the system 5x – 3y =11, –3x + 2y = 7? |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
15. |
Solve the system of equations 7x – 14y =4, 3x – 6y =17. |
| |
|
A. |
(3, –2) |
B. |
infinite solutions |
| |
|
C. |
(2, 1) |
D. |
no unique solution |
| |
|
Hint |
|
| |
16. |
What is the negative solution of the equation ? |
| |
|
A. |
–5 |
B. |
3 |
| |
|
C. |
 |
D. |
–3 |
| |
|
Hint |
|
| |
17. |
When is it true that ? |
| |
|
A. |
 |
B. |
all real numbers |
| |
|
C. |
-1 |
D. |
 |
| |
|
Hint |
|
| |
18. |
If a graph represents an odd-degree polynomial function, what must be true? |
| |
|
A. |
It must have at least three roots. |
B. |
As ,  |
| |
|
C. |
It may not have any real roots. |
D. |
It must pass through the x-axis. |
| |
|
Hint |
|
| |
19. |
Gail and Gayla throw balls into the air. The equation represents Gail's throw, where x is time in seconds, and y is height. Gayla's throw is represented by When are the balls at the same height? |
| |
|
A. |
at 5 seconds |
B. |
at 7 seconds |
| |
|
C. |
at –1 seconds |
D. |
never |
| |
|
Hint |
|
| |
20. |
Evaluate  |
| |
|
A. |
1 |
B. |
252 |
| |
|
C. |
504 |
D. |
126 |
| |
|
Hint |
|
|
|