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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 not a function. |
B. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is a function. |
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C. |
The domain is {-4, 1, 3},
the range is {2, 5}, and the relation is a function. |
D. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is not a function. |
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Hint |
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2. |
Given f(x) = x2 + 1 and g(x) = 2x - 1, find (f - g)(x). |
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A. |
x2 - 2x - 1 |
B. |
x2 - 2x + 1 |
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C. |
x2 - 2x + 2 |
D. |
x2 + 2x |
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Hint |
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3. |
Find the zero of the function f(x) = -8x + 4. |
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A. |
-2 |
B. |
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C. |
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D. |
2 |
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Hint |
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4. |
Write the standard form of the equation of the line that passes through the point (-4, -2) and is perpendicular to the graph of 3x - 2y + 9 = 0. |
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A. |
2x> + 3y - 14 = 0 |
B. |
2x + 3y + 14 = 0 |
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C. |
3x - 2y - 14 = 0 |
D. |
3x - 2y + 14 = 0 |
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Hint |
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5. |
Determine two points that appear to represent the data in the scatter plot. Then find and interpret the slope. |
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A. |
Mary improved her free throw performance from year-to-year by an average of about 25%. |
B. |
Mary improved her free throw performance from year-to-year by an average of about 15% |
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C. |
Mary improved her free throw performance from year-to-year by an average of about 10%. |
D. |
Mary improved her free throw performance from year-to-year by an average of about 20% |
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Hint |
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6. |
Which is the graph of  ?
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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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7. |
Which is the graph of the inequality x + 2y - 2  0? |
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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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8. |
Which is the graph of the inequality y |x - 3|? |
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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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9. |
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. |
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A. |
300 x + 2y 1200 |
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B. |
300 x + 2y 1200 and x = 2y |
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C. |
300 2x + y 1200 |
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D. |
300 x + y 1200 and x = 2y |
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Hint |
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10. |
The compound inequality 300 < x + y < 1200 and x = 2y is shown in the graph below. List the possibilities of Bobcats and Lions produced to meet the imposed conditions. |
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A. |
All points on the segment of the line 2x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
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B. |
All points on the segment of the line x = 2y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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C. |
All points on the segment of the line 2x = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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D. |
All points on the segment of the line x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
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Hint |
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11. |
State the domain and range of the relation. Then state whether the relation is a function.{(2,-1), (-2,4), (2,5), (3,6)} |
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A. |
Domain {-2,2,3} Range {-1,4,5,6}The relation is not a function. |
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B. |
Domain {-2,2,3} Range {-1,4,5,6} The relation is a function. |
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C. |
Domain {-1,4,5,6}Range {-2,2,3}The relation is a function. |
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D. |
Domain {-1,4,5,6}Range {-2,2,3} The relation is not a function. |
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Hint |
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12. |
Find f(2b2) for f(x) = x2 – 4x |
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A. |
-4b2 |
B. |
4b4 - 8b2 |
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C. |
4b2 - 8b8 |
D. |
2b4 - 8b2 |
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Hint |
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13. |
Graph the equation 3x + 2y = 0 |
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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. |
Which function does not have a zero? |
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A. |
f(x) = x - 5 |
B. |
f(x) = 3x + 5 |
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C. |
f(x) = –5x +3 |
D. |
f(x) = -5 |
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Hint |
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15. |
Find the x- and y-intercepts of the equation:  |
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A. |
x-intercept 5; y-intercept -2 |
B. |
x-intercept –2; y intercept 5 |
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C. |
x-intercept 2; y-intercept 5 |
D. |
x-intercept –5; y-intercept 2 |
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Hint |
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16. |
Write an equation of a line that has no slope and passes through
the point (5,-6). |
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A. |
x = -6 |
B. |
y = 5 |
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C. |
x = 5 |
D. |
y = -6 |
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Hint |
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17. |
Find a linear equation that can be used as a model for the data shown. |
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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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18. |
How can you tell if two lines are perpendicular? |
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A. |
The slopes are opposites. |
B. |
The slopes are opposite reciprocals. |
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C. |
The slopes are reciprocals. |
D. |
The slopes are the same. |
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Hint |
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19. |
Use two ordered pairs to write the equation of a best-fit line. |
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A. |
y = 3x + 72 |
B. |
y = 5x + 75 |
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C. |
y = 3x |
D. |
y = 5x |
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Hint |
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20. |
Which is the graph of the inequality 2x + y + 3 >0? |
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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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