| |
| |
1. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
| |
|
A. |
6x2 - 5 |
B. |
12x2 - 36x + 28 |
| |
|
C. |
12x2 + 36x + 28 |
D. |
6x2 + 5 |
| |
|
Hint |
|
| |
2. |
Graph the equation y =  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Which is the graph of the inequality y  |x - 3|? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
An automobile manufacturer produces two kinds of cars--the Bobcat x and the Lion y. The company must always produce twice as many Bobcats as Lions and at least 300 cars but no more than 1200 cars per day. Model this situation algebraically. |
| |
|
A. |
300 x + y 1200 and x = 2y |
| |
|
B. |
300 2x + y 1200 |
| |
|
C. |
300 x + 2y 1200 and x = 2y |
| |
|
D. |
300 x + 2y 1200 |
| |
|
Hint |
|
| |
5. |
Which of the following is a graph of the inequalities
l + g > 100 and l > 70? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Solve the system of inequalities by graphing. |
| |
|
 |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
7. |
Describe how the graphs of f(x) = |2x| and g(x) = -|2x| are related. |
| |
|
A. |
The graph of g(x) is a reflection of the graph of f(x) over the x-axis. |
B. |
The graph of g(x) is a reflection of the graph of f(x) over the x- and y-axes. |
| |
|
C. |
None are true. |
D. |
The graph of g(x) is a reflection of the graph of f(x) over the y-axis. |
| |
|
Hint |
|
| |
8. |
Use a graphing calculator to graph g(x) = x3 - x + 1 and to determine and classify its extrema. |
| |
|
A. |
relative maximum:
(-0.6, 1.38);
relative minimum:
(0.6, 0.62) |
B. |
relative minimum:
(1.38, -0.6);
relative maximum:
(0.6, 0.62) |
| |
|
C. |
relative maximum:
(1.38, -0.6);
relative minimum
(0.6, 0.62) |
D. |
relative minimum:
(-0.6, 1.38);
relative maximum:
(0.6, 0.62) |
| |
|
Hint |
|
| |
9. |
If the angle the rope makes with the level ground is 46° 30', how long is the rope? |
| |
|
 |
| |
|
A. |
about 23.6 feet |
B. |
about 47.5 feet |
| |
|
C. |
about 25.8 feet |
D. |
about 51.8 feet |
| |
|
Hint |
|
| |
10. |
Find the area of  if a = 5.2, c = 13.6, and B = 46° 30'. |
| |
|
 |
| |
|
A. |
about 24.3 square units |
B. |
about 51.3 square units |
| |
|
C. |
about 48.7 square units |
D. |
about 25.6 square units |
| |
|
Hint |
|
| |
11. |
Two observers 3 miles apart and facing each other find that the
angles of elevation of a balloon in the same vertical plane with
themselves are 28° and 31° respectively. Find the distance from
the balloon to the observer located at the 28° angle. |
| |
|
A. |
about 1.8 miles |
B. |
about 1.6 miles |
| |
|
C. |
about 3.5 miles |
D. |
about 2.4 miles |
| |
|
Hint |
|
| |
12. |
Find f(2b2) for f(x) = x2 – 4x |
| |
|
A. |
4b4 - 8b2 |
B. |
4b2 - 8b8 |
| |
|
C. |
-4b2 |
D. |
2b4 - 8b2 |
| |
|
Hint |
|
| |
13. |
Graph the equation 3x + 2y = 0 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
| |
|
A. |
5x - 3y - 12 = 0 |
B. |
5x - 3y - 4 = 0 |
| |
|
C. |
5x + 3y - 12 = 0 |
D. |
3x + 5y - 50 = 0 |
| |
|
Hint |
|
| |
15. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee.Graph the fee schedule for different account balances. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
16. |
Choose the best method to solve the system of equations x + y = 2
and y = 3x - 4. |
| |
|
A. |
Eliminate y |
B. |
Graphing |
| |
|
C. |
Substitution |
D. |
Eliminate x |
| |
|
Hint |
|
| |
17. |
A quadrilateral with vertices A(-2,-3), B(-4,2), C(-2,4) and D(0,2) is translated 5 units to the right and 3 units down. What are the new coordinates? |
| |
|
A. |
A(3,0), B(-1,5), C(3,7), D(5,5) |
| |
|
B. |
A(-5,2), B(-7, 7), C(-5, 9), D(-3, 7) |
| |
|
C. |
A(3,-6), B(1,-1), C(3,7), D(5,5) |
| |
|
D. |
A(3,-6), B(1,-1), C(3,1), D(5,-1) |
| |
|
Hint |
|
| |
18. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account with 3% interest. He wants no less than $5,000 in the account with 7% interest. For the equation l(x, y) = 30x + 70y find the maximum interest if the vertices are (3,5), (3,7) and (5,5) |
| |
|
A. |
440 |
B. |
no maximum |
| |
|
C. |
580 |
D. |
500 |
| |
|
Hint |
|
| |
19. |
Which is an odd function? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
20. |
Which best describes this graph? |
| |
|
 |
| |
|
A. |
none of these |
B. |
direct variation |
| |
|
C. |
inverse variation |
D. |
joint variation |
| |
|
Hint |
|
|
|