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1. |
State the domain and the range of the relation {(1, 2), (-4, 2), and
(3, 5)}. Then state whether the relation is a function. |
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A. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is a function. |
B. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is not a function. |
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C. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is not a function. |
D. |
The domain is {-4, 1, 3},
the range is {2, 5}, and the relation is a function. |
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Hint |
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2. |
The population of Abnerville was 12,500 people in 1950. In 2000, the population was 250,000. Find the average rate of increase in the population over the 50 year period. |
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A. |
475 people per year |
B. |
47,500 people per year |
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C. |
47.5 or about 48 people per year |
D. |
4750 people per year |
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Hint |
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3. |
Graph the equation y =  |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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4. |
Write an equation in slope-intercept form for the line with a slope -3 and passes through the point (4, 2). |
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A. |
y = -3x + 2 |
B. |
y = -3x + 14 |
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C. |
y = -3x + 4 |
D. |
y = -3x - 8 |
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Hint |
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5. |
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. |
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A. |
y = 800x - 4500 |
B. |
y = 4500x + 800 |
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C. |
y = 800x + 4500 |
D. |
y = 4500x - 800 |
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Hint |
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6. |
Using the equation y = 50x + 50, predict y when x = 6. |
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A. |
300 |
B. |
250 |
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C. |
350 |
D. |
400 |
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Hint |
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7. |
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. |
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A. |
2x + 7y + 23 = 0 |
B. |
2x - 7y + 23 = 0 |
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C. |
2x - 7y - 23 = 0 |
D. |
2x + 7y - 23 = 0 |
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Hint |
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8. |
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.
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A. |
Neither Method I nor Method II is correct. |
B. |
Method I |
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C. |
Both Method I and Method II are correct. |
D. |
Method II |
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Hint |
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9. |
The equation 2x - y + 3z = 5 represents _____________ |
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A. |
none of these. |
B. |
a plane. |
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C. |
a circle. |
D. |
a line. |
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Hint |
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10. |
Solve the system of equations by substitution.
x = z
x - 2y + z = 6
2x + y - 2z = 1
What is the value of x + y + z? |
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A. |
10 |
B. |
8 |
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C. |
11 |
D. |
9 |
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Hint |
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11. |
Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation. |
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A. |
A'(1, -2), B'(5, -3), C'(2, -6) |
B. |
A'(-1, 2), B'(-5, 3), C'(-2, 6) |
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C. |
A'(1, -2), B'(-5, 3), C'(-2, 6) |
D. |
A'(-2, -1), B'(-3, -5),
C'(-6, -2) |
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Hint |
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12. |
Find the image of  after Rot90 · Ry-axis if the vertices are
A(2, -3), B(6, -3), and C(2, 5). |
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A. |
A'(3, 2), B'(3, 6), C'(5, -2) |
B. |
A'(-3, 2), B'(-3, 6),
C'(5, 2) |
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C. |
A'(-3, -2), B'(-3, -6),
C'(-5, -2) |
D. |
A'(3, -2), B'(3, -6),
C'(-5, -2) |
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Hint |
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13. |
Which of the following shows the system of equations using a matrix equation? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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14. |
Use the function P(x, y) = 40x + 60y to determine how many of each item should be produced in order to maximize profit. |
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A. |
(300, 500) |
B. |
(100, 800) |
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C. |
(100, 400) |
D. |
(500, 400) |
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Hint |
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15. |
Given f(x) = x-5 and g(x) = x2+ 3,find (f · g)(x). |
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A. |
4x3 –2x |
B. |
x3 –5x2 +3x -15 |
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C. |
x2 –2x-15 |
D. |
x3 +5x2 +3x-15 |
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Hint |
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16. |
Write the equation of the line that is parallel to 2x - 3y - 15 = 0 and that passes through the point (3,4). |
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A. |
2x + 3y + 6 = 0 |
B. |
2x + 5 - 3 = 0 |
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C. |
2x - 2y + 6 = 0 |
D. |
2x - 3y + 6 = 0 |
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Hint |
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17. |
If you are solving this system of equations by elimination, which of the following is the best choice for the first step? 2x + 3y - z = 4
-x + y + 2z = 3
3x + y + z = 1 |
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A. |
Method I |
B. |
Method II |
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C. |
both methods are correct |
D. |
neither method is correct. |
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Hint |
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18. |
Find the values of x and y for which the matrix equation is true. |
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A. |
x = 4, y = 2 |
B. |
x = 1, y = 0 |
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C. |
x = 2, y = 3 |
D. |
x = 3, y = 2 |
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Hint |
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19. |
The image of after Rot180 · Ry-axis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? |
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A. |
reflection over the x-axis |
B. |
reflection over the y-axis |
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C. |
reflection over the line y = x |
D. |
none of these |
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Hint |
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20. |
Find the inverse of  . |
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A. |
0 |
B. |
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C. |
does not exist |
D. |
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Hint |
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