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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. |
 |
B. |
None of these. |
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C. |
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D. |
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Hint |
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2. |
Describe the graph. |
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A. |
neither a relation nor a function |
B. |
not a relation but a function |
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C. |
relation but not function |
D. |
relation and function |
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Hint |
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3. |
If j(x) = x2 + 1, find j(a + 1). |
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A. |
a2 + 2a + 1 |
B. |
a2 + a + 2 |
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C. |
a2 + 2a + 2 |
D. |
a2 + a + 1 |
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Hint |
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4. |
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 + 2 |
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C. |
x2 + 2x |
D. |
x2 - 2x + 1 |
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Hint |
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5. |
Find (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
12x2 - 36x + 28 |
B. |
6x2 + 5 |
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C. |
6x2 - 5 |
D. |
12x2 + 36x + 28 |
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Hint |
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6. |
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. |
47.5 or about 48 people per year |
B. |
4750 people per year |
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C. |
47,500 people per year |
D. |
475 people per year |
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Hint |
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7. |
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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8. |
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. |
neither |
B. |
coinciding |
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C. |
parallel |
D. |
all are correct |
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Hint |
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9. |
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 10%. |
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C. |
Mary improved her free throw performance from year-to-year by an average of about 20% |
D. |
Mary improved her free throw performance from year-to-year by an average of about 15% |
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Hint |
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10. |
Which is the best prediction equation for the data? |
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A. |
y = 20x - 19,950 |
B. |
y = 10x - 19,950 |
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C. |
y = 5x - 19,950 |
D. |
y = 25x - 19,950 |
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Hint |
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11. |
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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12. |
Write an equation of a line that has no slope and passes through the point (5,-6). |
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A. |
y = 5 |
B. |
y = -6 |
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C. |
x = -6 |
D. |
x = 5 |
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Hint |
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13. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
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A. |
5x - 3y - 12 = 0 |
B. |
5x - 3y - 4 = 0 |
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C. |
5x + 3y - 12 = 0 |
D. |
3x + 5y - 50 = 0 |
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Hint |
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14. |
Determine the equation of the perpendicular bisector of the line segment with endpoints (1,5) and (-6, 3). |
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A. |
14x + 4y - 19 = 0 |
B. |
14x + 4y + 19 = 0 |
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C. |
2x + 7y - 23 = 0 |
D. |
2x + 7y + 23 = 0 |
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Hint |
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15. |
Graph the data on a scatter plot. |
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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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16. |
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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17. |
What is the value of y when x = 2? |
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A. |
1 |
B. |
2 |
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C. |
undefined |
D. |
0 |
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Hint |
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18. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee. What type of function best represents this situation? |
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A. |
piecewise function |
B. |
step function |
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C. |
greatest integer function |
D. |
absolute value function |
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Hint |
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19. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee.Graph the fee schedule for different account balances. |
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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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20. |
The maximum cost of Ana's long-distance plan is $5.00 each month plus $0.10 per minute.Name a combination of minutes and cost that fit this inequality. |
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A. |
(10, 6) |
B. |
(10,15) |
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C. |
(15,10) |
D. |
(6,10) |
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Hint |
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