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1. |
Three out of the four equations listed below are equations of lines that are parallel to each other. Which equation does not have a graph that is a line parallel to the other three? |
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A. |
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B. |
3x + 4y = -16 |
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C. |
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D. |
8y = - 6x |
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Hint |
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2. |
Which pair of lines graphed below are parallel? |
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A. |
k and n |
B. |
l and n |
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C. |
k and m |
D. |
l and m |
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Hint |
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3. |
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. |
252.5 meters |
B. |
180.9 meters |
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C. |
221.6 meters |
D. |
130.4 meters |
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Hint |
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4. |
The greatest power in a quadratic function is ______. |
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A. |
1 |
B. |
2 |
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C. |
4 |
D. |
3 |
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Hint |
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5. |
What is the equation of the graph shown? |
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A. |
f(x) = -2x2 + 2x - 1 |
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B. |
f(x) = -2x2 + 2x + 1 |
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C. |
f(x) = 2x2 - 2x + 1 |
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D. |
f(x) = 2x2 + 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. |
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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7. |
Find the equation that contains a decreasing linear relationship. |
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A. |
y = 10 + x |
B. |
y = 12+ 2x |
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C. |
y = 5 – 6x |
D. |
y = 4x – 3 |
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Hint |
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8. |
Find the situation that involves a decreasing linear relationship and has direct variation. |
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A. |
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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B. |
The temperature that begins at 0°F at 6:00 a.m. rises 3°F every hour for 6 hours. |
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C. |
An airplane that begins at 20,000 feet and descends for a landing on the ground at the airport. |
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D. |
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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Hint |
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9. |
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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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 + 3 |
B. |
y = 3x – 3 |
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C. |
y = 3x – 9 |
D. |
y = 3x + 9 |
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Hint |
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11. |
Which three points are collinear? |
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A. |
(–1, 1), (2, 3), (5, 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. |
(3, 1), (4, 0), (–1, 2) |
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Hint |
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12. |
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 + 8 = 3(x + 1) |
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C. |
y = 3x + 8 |
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D. |
y = 3x – 5 |
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Hint |
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13. |
What is the lowest point on the graph of y = x2 + 2? |
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A. |
(0, –2) |
B. |
(0, 2) |
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C. |
(0, 0) |
D. |
(2, 0) |
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Hint |
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14. |
How many diagonals does a 25-sided polygon have? |
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A. |
300 |
B. |
275 |
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C. |
25 |
D. |
550 |
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Hint |
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15. |
Describe how the graph of y = (x + 1)2 differs from the graph of y = x2. |
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A. |
the graph of y = (x+1)2 moved 1 unit to the right |
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B. |
the graph of y = (x + 1)2 moved 1 unit to the left |
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C. |
the graph of y = (x + 1)2 moved up 1 unit |
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D. |
the graph of y = (x + 1) 2 moved down 1 unit |
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Hint |
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16. |
Find the equation of the graph below. |
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A. |
y = x2 + 3 |
B. |
y = (x + 3)2 |
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C. |
y = x2 – 3 |
D. |
y = (x - 3)2 |
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Hint |
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17. |
Find the cubic equation. |
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A. |
y = 3x |
B. |
y = x2 + 5 |
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C. |
y = x(x3 + 1) |
D. |
y = 5x3 + 2x |
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Hint |
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18. |
What is the new equation if the graph y = 2x3 – 6x2 is moved down 1 unit? |
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A. |
y = 2x3 – 5x2 |
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B. |
y = 2x3 – 6x2 + 1 |
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C. |
y = x3 – 6x2 |
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D. |
y = 2x3 – 6x2 – 1 |
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Hint |
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19. |
What are the second differences in the y-values? |
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A. |
1 |
B. |
0 |
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C. |
–1 |
D. |
2 |
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Hint |
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20. |
Which differences are constant in a cubic equation? |
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A. |
fourth |
B. |
second |
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C. |
third |
D. |
first |
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Hint |
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