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1. |
Determine the slope of the line that passes through (2, 2) and (5, 8). |
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A. |
2 |
B. |
 |
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C. |
 |
D. |
-2 |
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Hint |
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2. |
Determine the slope of the line containing the points P(-7, -8) and
Q(3, 0). |
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A. |
-2 |
B. |
 |
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C. |
2 |
D. |
 |
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Hint |
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3. |
Find  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
If a rocket is fired from the ground with an initial velocity of 75 meters per second, then the height of the rocket after t seconds is h = 75t - 4.9t2. Find the height of the rocket after 3 seconds. |
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A. |
130.4 meters |
B. |
221.6 meters |
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C. |
180.9 meters |
D. |
252.5 meters |
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Hint |
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5. |
What is the equation of the graph shown? |
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 |
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A. |
y = -x2 +2x - 1 |
B. |
y = -x2 - 2x - 1 |
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C. |
y = x2 + 2x + 1 |
D. |
y = x2 - 2x + 1 |
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Hint |
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6. |
Which characteristic describes a graph that is linear and has direct variation. |
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A. |
The equation has the form y = mx. |
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B. |
The equation has the form y = mx + b. |
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C. |
The graph does not pass through (0, 0). |
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D. |
Variables x and y are not proportional. |
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Hint |
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7. |
Find the graph that does not have direct variation. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
Michael just got a job mowing his elderly neighbor's lawn paying him $10 each week. Draw a graph showing the amount he receives is increasing very rapidly. Suppose you graph the time in weeks on the horizontal axis and the amount Michael receives on the vertical axis. |
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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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9. |
Pam's mother gives Pam $20 each week for lunch to be bought at the school cafeteria. Lunches cost $4 per day. Draw a graph showing the amount Pam has left decreasing very slowly. Suppose you graph the time in days on the horizontal axis and the amount Pam has left on the vertical axis. |
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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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10. |
What is the equation of a line that has a slope of 3 and passes through (–4, –3)? |
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A. |
y = 3x – 9 |
B. |
y = 3x – 3 |
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C. |
y = 3x + 3 |
D. |
y = 3x + 9 |
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Hint |
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11. |
Find a quadratic equation for the table. |
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A. |
y = 5x2 – 1 |
B. |
y = x2 – 5 |
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C. |
y = 5x2 + 1 |
D. |
y = 5x2 – 2 |
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Hint |
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12. |
Find the cubic equation. |
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A. |
y = x2 + 5 |
B. |
y = x(x3 + 1) |
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C. |
y = 5x3 + 2x |
D. |
y = 3x |
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Hint |
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13. |
What is the reciprocal of  ? |
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A. |
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B. |
 |
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C. |
 |
D. |
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Hint |
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14. |
What is the reciprocal of –20? Evaluate it in decimal form. |
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A. |
–0.50 |
B. |
–0.02 |
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C. |
–0.20 |
D. |
–0.05 |
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Hint |
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15. |
How does b affect graphs of equations in the form of  ? |
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A. |
negative values of b move the graph to the left, positive values move it to the right |
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B. |
positive values of b move the graph to the left, negative values move it to the right |
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C. |
b affects the length of the graph |
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D. |
b affects the width of the graph |
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Hint |
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16. |
What is true of the second differences for the equation x2 – 6x + 12? |
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A. |
they decrease by 1 |
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B. |
they increase by 12 |
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C. |
they increase by 1 |
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D. |
they are constant |
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Hint |
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17. |
Find the values for m and n which the conjecture (m – n)2 = m2 – n2 is false. |
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A. |
m = 1, n = 0 |
B. |
m = 1, n = 1 |
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C. |
m = –2, n = 0 |
D. |
m = 1, n = 2 |
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Hint |
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18. |
Identify the growth factor in the equation p = 682,363 × 1.08n where p is the population and n is the number of years after 2001. |
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A. |
n |
B. |
1.08 |
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C. |
682,363 |
D. |
p |
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Hint |
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19. |
Use the following table to find the amount of medicine remaining in the bloodstream after n hours. |
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A. |
0.85n |
B. |
0.85 × 500n |
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C. |
500 × 0.85n |
D. |
425 × 0.85n |
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Hint |
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20. |
Evaluate. |
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A. |
3 |
B. |
2 |
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C. |
–3 |
D. |
–2 |
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Hint |
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