| |
| |
1. |
If j(x) = x2 + 1, find j(a + 1). |
| |
|
A. |
a2 + a + 1 |
B. |
a2 + a + 2 |
| |
|
C. |
a2 + 2a + 1 |
D. |
a2 + 2a + 2 |
| |
|
Hint |
|
| |
2. |
Given f(x) = 3x + 2x - 2 and g(x) = 4x + 1, find  |
| |
|
A. |
3x2 + 6x - 1 |
B. |
 |
| |
|
C. |
3x2 - 2x - 3 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Jane is opening a home-based business. She determined that she will need $4500 to buy a computer and supplies to start. She expects expenses for each following month to be $800. Write an equation that models the total expense y after x months. |
| |
|
A. |
y = 800x + 4500 |
B. |
y = 4500x - 800 |
| |
|
C. |
y = 800x - 4500 |
D. |
y = 4500x + 800 |
| |
|
Hint |
|
| |
4. |
Determine whether the graphs of the pair of equations
3x - 2y = 7 and 3x + 2y = 7
are parallel, coinciding, or neither. |
| |
|
A. |
all are correct |
B. |
neither |
| |
|
C. |
coinciding |
D. |
parallel |
| |
|
Hint |
|
| |
5. |
Write the standard form of the equation of the line that passes through the point (-1, 3) and is parallel to the graph of 2x - 7y + 1 = 0. |
| |
|
A. |
2x + 7y - 23 = 0 |
B. |
2x - 7y - 23 = 0 |
| |
|
C. |
2x + 7y + 23 = 0 |
D. |
2x - 7y + 23 = 0 |
| |
|
Hint |
|
| |
6. |
Which is a graph of f(x) = |3x| - 1? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
If A =  , find -2A. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis. |
| |
|
A. |
A'(-7, -2), B'(-3, 1),
C'(-1, -4) |
B. |
A'(2, 7), B'(-1, 3), C'(4, 1) |
| |
|
C. |
A'(7, -2), B'(3, 1), C'(1, -4) |
D. |
A'(7, -2), B'(-1, 3),
C'(-1, -4) |
| |
|
Hint |
|
| |
9. |
Find the image of  after Rot90 · Ry-axis if the vertices are
A(2, -3), B(6, -3), and C(2, 5). |
| |
|
A. |
A'(3, 2), B'(3, 6), C'(5, -2) |
B. |
A'(-3, -2), B'(-3, -6),
C'(-5, -2) |
| |
|
C. |
A'(3, -2), B'(3, -6),
C'(-5, -2) |
D. |
A'(-3, 2), B'(-3, 6),
C'(5, 2) |
| |
|
Hint |
|
| |
10. |
Which of the following is a graph of the inequalities
l + g > 100 and l > 70? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Suppose a lumber mill can turn out up to 900 units of product each week. The mill must produce at least 100 units of lumber and 400 units of plywood. Write the constraints as a system of inequalities where x = the number of units of lumber and y = the number of units of plywood. |
| |
|
A. |
x  100, y  400, and
x + y 900 |
| |
|
B. |
x 100, y 400, and
x + y 900 |
| |
|
C. |
x 100, y 400, and
x + y 900 |
| |
|
D. |
x 100, y 400, and
x + y 900 |
| |
|
Hint |
|
| |
12. |
For which line(s) is the graph of  symmetric? |
| |
|
A. |
x = 3 and y = -1 |
B. |
x = 3 |
| |
|
C. |
y = -1 |
D. |
y = 1 |
| |
|
Hint |
|
| |
13. |
Which is the graph of f(x) = x2 - 3 and its inverse? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Use the parent graph f(x) =  to graph the function
g(x) =  ; identify the new location of each asymptote. |
| |
|
A. |
none of these |
B. |
The vertical asymptote is at
x = -3, and the horizontal asymptote is at y = 0. |
| |
|
C. |
The vertical asymptote is at
x = 3 and the horizontal asymptote is at y = 1. |
D. |
The vertical asymptote is at
x = 0, and the horizontal asymptote is at y = -3. |
| |
|
Hint |
|
| |
15. |
Which equation has an undefined slope? |
| |
|
A. |
y = 4x + 2 |
B. |
y = 4 |
| |
|
C. |
y = 4x |
D. |
x = 4 |
| |
|
Hint |
|
| |
16. |
Write an equation of the line that passes through the points (-2, 4) and (6, -4). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
17. |
Ilene analyzed her test scores and determined the equation of the best-fit line was y = 4.25x + 72. Predict her score for the 5th test. |
| |
|
A. |
88.75 |
B. |
98.5 |
| |
|
C. |
93.25 |
D. |
72.5 |
| |
|
Hint |
|
| |
18. |
Set up a matrix equation for this chemistry problem. How many liters of 0.25 solution and 0.40 solution should be combined to make 10 liters of 0.35 solution? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
19. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y -3x + 1
y  x - 4
x 0
y 0 |
| |
|
A. |
unbounded |
B. |
2 |
| |
|
C. |
alternate optimal solutions |
D. |
infeasible |
| |
|
Hint |
|
| |
20. |
Given the function f(x) = x2 - 8x + 16, find the inverse. |
| |
|
A. |
f -1 = 4  |
B. |
f -1 = (x - 4)2 |
| |
|
C. |
f -1 = x - 2 |
D. |
f -1 = x - 4 |
| |
|
Hint |
|
|
|