| |
| |
1. |
If j(x) = x2 + 1, find j(a + 1). |
| |
|
A. |
a2 + a + 2 |
B. |
a2 + a + 1 |
| |
|
C. |
a2 + 2a + 2 |
D. |
a2 + 2a + 1 |
| |
|
Hint |
|
| |
2. |
Given f(x) = x2 + 1 and g(x) = 2x - 1, find (f - g)(x). |
| |
|
A. |
x2 - 2x - 1 |
B. |
x2 - 2x + 2 |
| |
|
C. |
x2 + 2x |
D. |
x2 - 2x + 1 |
| |
|
Hint |
|
| |
3. |
The stated weight of the box of soap is 8.3 ounces. The company randomly chooses boxes to test to see whether their equipment is dispensing the right amount of product. If the discrepancy is more than 0.15 ounce, the production line is stopped for adjustments. Identify the type of function that models this situation. |
| |
|
A. |
absolute value function |
B. |
greatest integer function |
| |
|
C. |
step function |
D. |
a straight line |
| |
|
Hint |
|
| |
4. |
Find the value of  . |
| |
|
A. |
17 |
B. |
-3 |
| |
|
C. |
3 |
D. |
-17 |
| |
|
Hint |
|
| |
5. |
Solve the systems of equations by using matrix equations. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
In shipping, an oversize package is one in which the sum of the length and girth exceeds 100 inches, and also one whose length alone exceeds 70 inches. Which of the following best represents this situation? |
| |
|
A. |
l + g > 100, l > 70 |
B. |
l + g > 100, g < 70 |
| |
|
C. |
l + g < 100, g < 70 |
D. |
l + g > 100, l < 70 |
| |
|
Hint |
|
| |
7. |
What are the vertices of the triangle formed? |
| |
|
 |
| |
|
A. |
(100, 400), (500, 400), and (100, 800) |
| |
|
B. |
(100, 400), (500, 400), and (800, 100) |
| |
|
C. |
(100, 400), (400, 500), and (800, 100) |
| |
|
D. |
(100, 400), (400, 500), and (100, 800) |
| |
|
Hint |
|
| |
8. |
The graph |y| = 4 - |2x| is symmetric with respect to __________. |
| |
|
A. |
both the x-axis and
the y-axis |
B. |
the y-axis |
| |
|
C. |
the x-axis |
D. |
neither the x-axis nor
the y-axis |
| |
|
Hint |
|
| |
9. |
Determine the interval(s) on which the function f(x) = 2|x + 1| + 3 is increasing and the interval(s) on which the function is decreasing. |
| |
|
A. |
The function is increasing for x > -1, and the function is
decreasing for x < -1. |
| |
|
B. |
The function is increasing for x > 3, and the function is
decreasing for x < 3. |
| |
|
C. |
The function is increasing for x > 2, and the function is
decreasing for x < 2. |
| |
|
D. |
The function is decreasing for x > 0, and the function is
increasing for x < 0. |
| |
|
Hint |
|
| |
10. |
Using Snell's Law,  = n, and  = 40° and  = 35° 15',
find the index of refraction, n. (Use a calculator.) |
| |
|
A. |
about 1.0660 |
B. |
about 0.9380 |
| |
|
C. |
about 0.8979 |
D. |
about 1.1137 |
| |
|
Hint |
|
| |
11. |
Solve the equation cos x =  . |
| |
|
A. |
x equals 30°, 330° or any angle
coterminal with these angles. |
| |
|
B. |
x equals 150°, 210° or any angle
coterminal with these angles. |
| |
|
C. |
x equals 120°, 240° or any angle
coterminal with these angles. |
| |
|
D. |
x equals 60°, 300° or any angle
coterminal with these angles. |
| |
|
Hint |
|
| |
12. |
If A = 39° and b = 7.2, find c. |
| |
|
 |
| |
|
A. |
about 9.3 units |
B. |
about 5.6 units |
| |
|
C. |
about 8.9 units |
D. |
about 11.4 units |
| |
|
Hint |
|
| |
13. |
Find the area of  if a = 5.2, c = 13.6, and B = 46° 30'. |
| |
|
 |
| |
|
A. |
about 24.3 square units |
B. |
about 48.7 square units |
| |
|
C. |
about 51.3 square units |
D. |
about 25.6 square units |
| |
|
Hint |
|
| |
14. |
Determine the number of possible solutions for , given
a = 7, b = 3, and A = 115°. |
| |
|
A. |
two |
B. |
none |
| |
|
C. |
one |
D. |
three |
| |
|
Hint |
|
| |
15. |
Solve the system of 3 equations by substitution. x = 3y + 2z
2x + 3y + 2z = 3
-x + y - z = 6 |
| |
|
A. |
(1, 3, -4) |
B. |
infinite solutions |
| |
|
C. |
(8, 4, -2) |
D. |
no solution |
| |
|
Hint |
|
| |
16. |
Solve this problem using matrix equations.How many liters of 0.25 solution and 0.40 solution should be combined to make 10 liters of 0.35 solution? |
| |
|
A. |
3.33 L of the 0.25 solution and 6.66 L of the 0.40 solution. |
| |
|
B. |
6.66 L of the 0.25 solution and 3.33 L of the 0.40 solution. |
| |
|
C. |
4.5 L of the 0.25 solution and 5.5 L of the 0.40 solution. |
| |
|
D. |
2.5 L of the 0.25 solution and 7.5 L of the 0.40 solution. |
| |
|
Hint |
|
| |
17. |
If you use the parent graph  as a reference, describe how you would graph  . |
| |
|
A. |
Compress horizontally by a factor of  , then move 4 units down. |
B. |
Expand horizontally by a factor of  , then move 4 units down. |
| |
|
C. |
Compress vertically by a factor of , then move 4 units down. |
D. |
Expand vertically by a factor of 3, then move 4 units down. |
| |
|
Hint |
|
| |
18. |
Sketch the graph of the function f(x) =  (x + 1)3 + 2. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
19. |
Determine the type of discontinuity this function exhibits.
 |
| |
|
A. |
none of these |
B. |
point discontinuity |
| |
|
C. |
jump discontinuity |
D. |
infinite discontinuity |
| |
|
Hint |
|
| |
20. |
Graph the function  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
|
|