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1. |
Determine the slope of the line that passes through (2, 2) and (5, 8). |
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A. |
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B. |
-2 |
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C. |
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D. |
2 |
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Hint |
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2. |
Which equation is the slope-intercept form of the equation of the line that passes through (1, 2) and is parallel to 4x - 2y = 6? |
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A. |
y = 2x |
B. |
y = -2x + 1 |
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C. |
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D. |
y = 4x + 3 |
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Hint |
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3. |
Use the scatter plot to predict the mileage of an engine with 250 horsepower. |
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A. |
12 |
B. |
10 |
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C. |
25 |
D. |
20 |
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Hint |
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4. |
What is the slope of the line through the points A(-3, 4) and B(2, -1)? |
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A. |
-1 |
B. |
1 |
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C. |
-3 |
D. |
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Hint |
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5. |
Determine the slope of the line containing the points P(-7, -8) and
Q(3, 0). |
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A. |
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B. |
2 |
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C. |
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D. |
-2 |
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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. |
Variables x and y are not proportional. |
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B. |
The equation has the form y = mx + b. |
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C. |
The equation has the form y = mx. |
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D. |
The graph does not pass through (0, 0). |
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Hint |
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7. |
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. |
Variables x and y are not proportional. |
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C. |
The equation has the form y = mx + b. |
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D. |
The graph does not pass through (0, 0). |
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Hint |
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8. |
Find the equation that has direct variation. |
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A. |
y = 5x + 1.3 |
B. |
y = 4x |
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C. |
y = 0.8x + 9 |
D. |
y = –3x – 1 |
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Hint |
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9. |
Find the graph that does not have direct variation. |
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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. |
Find the equation that contains a decreasing linear relationship. |
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A. |
y = 10 + x |
B. |
y = 5 – 6x |
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C. |
y = 4x – 3 |
D. |
y = 12+ 2x |
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Hint |
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11. |
Find the situation that involves a decreasing linear relationship and has direct variation. |
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A. |
A bucket that begins at ground level and is lowered into a well at a rate of 1 foot per second. |
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B. |
A submarine that begins at the bottom of the ocean and is raised to the surface of the water at 15 meters per second. |
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C. |
The temperature that begins at 0°F at 6:00 a.m. rises 3°F every hour for 6 hours. |
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D. |
An airplane that begins at 20,000 feet and descends for a landing on the ground at the airport. |
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Hint |
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12. |
Find the situation that is linear but does not have direct variation. |
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A. |
At the beginning of the summer, Dina had $0 in the bank. She started a job and deposited $10 per week. |
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B. |
At the beginning of the summer, Dina had $200 in the bank. She started a job and deposited $10 per week. |
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C. |
At the beginning of the summer, Dina had $0 in the bank. She earned $50 mowing lawns the previous week and deposited the money in the bank. |
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D. |
At the beginning of the summer, Dina had $200 in the bank. She withdrew $30 to buy a new pair of shorts. |
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Hint |
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13. |
Find the equation that is nonlinear. |
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A. |
y = 4y2 |
B. |
y = 14 + 6x |
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C. |
y = –3x – 1 |
D. |
y = 8 – x |
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Hint |
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14. |
Find the table that represents a graph with direct variation. |
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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. |
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. |
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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. |
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. |
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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 equation of a line that has a slope of –1 and passes through (–2, 0)? |
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A. |
y = –x – 2 |
B. |
y = –x – 1 |
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C. |
y = –x + 2 |
D. |
y = –2x + 1 |
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Hint |
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18. |
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 – 3 |
B. |
y = 3x + 9 |
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C. |
y = 3x + 3 |
D. |
y = 3x – 9 |
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Hint |
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19. |
Which three points are collinear? |
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A. |
(3, 1), (4, 0), (–1, 2) |
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B. |
(4, –3), (2, –2), (–4, 1) |
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C. |
(–5, –3), (–2, 3), (2, –4) |
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D. |
(–1, 1), (2, 3), (5, 2) |
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Hint |
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20. |
Write the equation in slope-intercept form.
–6x = –10 – 2y |
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A. |
–6x + 2y + 10 = 0 |
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B. |
y = 3x – 5 |
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C. |
y + 8 = 3(x + 1) |
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D. |
y = 3x + 8 |
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Hint |
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