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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 {-4, 1, 3}, the range is {2, 5}, 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 {2, 5}, the range is {-4, 1, 3}, 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. |
The revenue for the sale of x objects is r(x) = 8x. The cost of manufacturing x objects is c(x) = 0.5x + 300. Write the profit function. |
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A. |
8.5x + 300 |
B. |
7.5x + 300 |
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C. |
8.5x - 300 |
D. |
7.5x - 300 |
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Hint |
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4. |
Find the x- and y-intercepts for 3x + 4y - 12 = 0. |
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A. |
(0, 3) and (4, 0) |
B. |
(-4, 0) and (0, -3) |
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C. |
(-3, 0) and (0, -4) |
D. |
(0, 4) and (3, 0) |
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Hint |
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5. |
Write an equation in slope-intercept form for the line with a slope of and a y-intercept of -3. |
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A. |
y = x - 3 |
B. |
y = x - 3 |
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C. |
y = x + 3 |
D. |
y = x + 3 |
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Hint |
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6. |
Determine whether the graphs of the pair of equations 2x + 3y = 6 and 4x + 6y = 5 are parallel, coinciding, or neither. |
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A. |
parallel |
B. |
all are correct |
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C. |
coinciding |
D. |
neither |
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Hint |
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7. |
Which is the best prediction equation for the data? |
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A. |
y = 10x - 19,950 |
B. |
y = 25x - 19,950 |
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C. |
y = 5x - 19,950 |
D. |
y = 20x - 19,950 |
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Hint |
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8. |
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 2x + y 1200 |
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C. |
300 x + 2y 1200 and x = 2y |
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D. |
300 x + y 1200 and x = 2y |
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Hint |
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9. |
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 {-1,4,5,6}Range {-2,2,3}The relation is 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 {-2,2,3} Range {-1,4,5,6}The relation is not 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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10. |
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 –5; y-intercept 2 |
D. |
x-intercept 2; y-intercept 5 |
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Hint |
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11. |
Write an equation of the line that passes through the points (-2, 4) and (6, -4). |
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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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12. |
Determine whether 3x - 5y + 1 = 0 and 6x - 10y + 2 = 0 are parallel, coinciding, or neither. |
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A. |
parallel |
B. |
coinciding |
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C. |
perpendicular |
D. |
all are correct |
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Hint |
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13. |
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. |
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A. |
98.5 |
B. |
93.25 |
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C. |
88.75 |
D. |
72.5 |
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Hint |
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14. |
Graph the 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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15. |
What is the value of y when x = 2? |
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A. |
1 |
B. |
0 |
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C. |
2 |
D. |
undefined |
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Hint |
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16. |
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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