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1. |
The domain of a relation is all positive integers less than 4. The range of y or the relation is 2 plus x, where x is a number of the domain. Write the relation as a table of values and as an equation. |
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A. |
None of these. |
B. |
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C. |
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D. |
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Hint |
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2. |
State the domain and range of the relation. |
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A. |
All real numbers are included in the domain, and 3 is included in the range. |
B. |
All real numbers are included in the domain and the range. |
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C. |
3 is included in the domain, and all real numbers are included in the range. |
D. |
3 is included in the domain, and 3 is included in the range. |
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Hint |
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3. |
State the domain of the function  |
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A. |
all real numbers except 0 |
B. |
all real numbers except 0, 1, and 3 |
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C. |
all real numbers except 3 |
D. |
all real numbers except 0 and 3 |
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Hint |
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4. |
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 = 800x + 4500 |
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C. |
y = 4500x - 800 |
D. |
y = 4500x + 800 |
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Hint |
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5. |
Find a linear equation that can model the data shown in the graph. |
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A. |
2x + 5y - 3 = 0 |
B. |
2x -3y + 6 = 0 |
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C. |
3x - 2y + 6 = 0 |
D. |
2x + 3y + 6 = 0 |
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Hint |
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6. |
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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7. |
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 15% |
B. |
Mary improved her free throw performance from year-to-year by an average of about 25%. |
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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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8. |
Which is the best prediction equation for the data? |
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A. |
y = 20x - 19,950 |
B. |
y = 25x - 19,950 |
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C. |
y = 10x - 19,950 |
D. |
y = 5x - 19,950 |
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Hint |
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9. |
Which is a graph of f(x) = |3x| - 1? |
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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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10. |
Which is the graph of g(x) = |6 - |2x||? |
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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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11. |
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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12. |
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 and x = 2y |
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B. |
300 x + y 1200 and x = 2y |
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C. |
300 x + 2y 1200 |
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D. |
300 2x + y 1200 |
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Hint |
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13. |
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 = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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B. |
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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C. |
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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D. |
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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Hint |
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14. |
Find the domain of f(g(x)) given f(x) = , and g(x) = x-1 |
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A. |
x 1,-1 |
B. |
x 0, 1, -1 |
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C. |
all real numbers |
D. |
x 1 |
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Hint |
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15. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
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A. |
= 2
= 6
= 42 |
B. |
= 2
= 6
= 12 |
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C. |
= 2
= 6
= 36 |
D. |
= 0
= 2
= 4 |
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Hint |
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16. |
Find the x- and y-intercepts of the equation:  |
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A. |
x-intercept 2; y-intercept 5 |
B. |
x-intercept –5; y-intercept 2 |
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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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17. |
Write an equation in slope-intercept form with a slope of that passes through the point (-3, -5). |
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A. |
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B. |
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D. |
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18. |
Write an equation of the line that passes through the points (-2, 4) and (6, -4). |
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A. |
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B. |
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Hint |
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19. |
Write an equation of a line that has no slope and passes through the point (5,-6). |
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A. |
y = -6 |
B. |
y = 5 |
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C. |
x = 5 |
D. |
x = -6 |
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Hint |
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20. |
Write a linear equation to represent the cost y of a long distance calling plan that charges $5.99 plus $0.07 per minute for x number of minutes. |
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A. |
y = x - 5.99 |
B. |
y = 0.07x + 5.99 |
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C. |
y = 5.99x + 0.07 |
D. |
y = x + 5.99 |
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Hint |
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