| |
| |
1. |
If you use the substitution method to solve the system of equations
3x - 2y = 4 and x + y = 5, which of the following would be the best method?
Method I: Solve the second equation for x, and substitute 5 - y for x into the first equation.
Method II: Solve the second equation for y, and substitute 5 - x for y into the first equation.
|
| |
|
A. |
Neither Method I nor Method II is correct. |
B. |
Method II |
| |
|
C. |
Method I |
D. |
Both Method I and Method II are correct. |
| |
|
Hint |
|
| |
2. |
Three planes can |
| |
|
A. |
have no points in common. |
B. |
All of the choices are true. |
| |
|
C. |
intersect in a line. |
D. |
intersect at one point. |
| |
|
Hint |
|
| |
3. |
A triangle ABC has vertices A(3, -1), B(4, -2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. |
| |
|
A. |
A'(-3, 9), B'(-6, 12),
C'(3, 21) |
B. |
A'(9, -3), B'(12, -6),
C'(21, 3) |
| |
|
C. |
A,/i>'(12, -6), B'(21, 3),
C'(-9, -3) |
D. |
A'(21, 3), B'(12, -6),
C'(-9, -3) |
| |
|
Hint |
|
| |
4. |
Solve |x - 1| - 8 < 3. |
| |
|
A. |
{x | 5 < x < 10} |
B. |
{x | -10 < x < 12} |
| |
|
C. |
{x | -8 < x < 10} |
D. |
{x | -4 < x < 3} |
| |
|
Hint |
|
| |
5. |
Graph y = 1 +  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Suppose I = 0.05(0.6G - 400), where G = the gross monthly pay and
I = the amount of the investment. Determine the equation which represents the inverse process. |
| |
|
A. |
G =  |
B. |
G =  |
| |
|
C. |
G =  |
D. |
G =  |
| |
|
Hint |
|
| |
7. |
Use the Remainder Theorem to find the remainder for the division of
(x4 - 3x2 + 2x - 1) ÷ (x - 1). The remainder is ____. |
| |
|
A. |
-1 |
B. |
0 |
| |
|
C. |
2 |
D. |
1 |
| |
|
Hint |
|
| |
8. |
Determine the number of complex zeros of the function
f(x) = x5 - 4x2 + 2x - 1. |
| |
|
A. |
4 |
B. |
2 |
| |
|
C. |
5 |
D. |
3 |
| |
|
Hint |
|
| |
9. |
Find sin  . |
| |
|
A. |
-1 |
B. |
- |
| |
|
C. |
|
D. |
1 |
| |
|
Hint |
|
| |
10. |
If csc  = 2, find sin . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
2 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Write  as the sum of unit vectors for A(4, 8, -6) and B(-2, 5, 0). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Find an ordered triple to represent  in the equation  if  ,  , and  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Graph the equation  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Find the zero of f(x) = 2x - 3, then graph the function. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
How can you tell if two lines are perpendicular? |
| |
|
A. |
The slopes are the same. |
B. |
The slopes are opposites. |
| |
|
C. |
The slopes are reciprocals. |
D. |
The slopes are opposite reciprocals. |
| |
|
Hint |
|
| |
16. |
Use two ordered pairs to write the equation of a best-fit line. |
| |
|
 |
| |
|
A. |
y = 3x + 72 |
B. |
y = 3x |
| |
|
C. |
y = 5x + 75 |
D. |
y = 5x |
| |
|
Hint |
|
| |
17. |
Which is the graph of the compound inequality 0  x + y 4? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
18. |
Find the minimum value of f(x, y) =  x - 4y for the system of inequalities.
2x + y 3
2x + y  -2
y 4
x < 1 |
| |
|
A. |
16 |
B. |
-17 |
| |
|
C. |
-16 |
D. |
-3 |
| |
|
Hint |
|
| |
19. |
The function f(x) = |x - 4| + 2 has a critical point at x = 4. Determine if this is the location of a maximum, a minimum or a point of inflection. |
| |
|
A. |
none of these |
| |
|
B. |
There is a maximum at (4,2) |
| |
|
C. |
There is a point of inflection at (4,2) |
| |
|
D. |
There is a minimum at (4,2) |
| |
|
Hint |
|
| |
20. |
Find  . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
|
|