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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. |
2 |
D. |
 |
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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 m |
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C. |
k and m |
D. |
l and n |
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Hint |
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3. |
What is the slope of the line through the points A(-3, 4) and B(2, -1)? |
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A. |
1 |
B. |
 |
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C. |
-3 |
D. |
-1 |
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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. |
252.5 meters |
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C. |
221.6 meters |
D. |
180.9 meters |
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Hint |
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5. |
The greatest power in a quadratic function is ______. |
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A. |
1 |
B. |
2 |
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C. |
3 |
D. |
4 |
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Hint |
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6. |
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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7. |
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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8. |
Find the graph that does not have direct variation. |
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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. |
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 earned $50 mowing lawns the previous week and deposited the money in the bank. |
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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 started a job and deposited $10 per week. |
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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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10. |
Write the equation in slope-intercept form. –6x = –10 – 2y |
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A. |
y = 3x – 5 |
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B. |
–6x + 2y + 10 = 0 |
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C. |
y = 3x + 8 |
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D. |
y + 8 = 3(x + 1) |
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Hint |
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11. |
What is the lowest point on the graph of y = x2 + 2? |
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A. |
(2, 0) |
B. |
(0, 0) |
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C. |
(0, 2) |
D. |
(0, –2) |
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Hint |
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12. |
Describe the location of the line of symmetry of the graph of y = x2 – 2. |
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A. |
the horizontal axis |
B. |
there is no line of symmetry |
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C. |
the vertical axis |
D. |
the line y = x |
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Hint |
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13. |
Two friends are playing catch with a baseball. The ball's flight can be modeled by the equation y = 1 + 0.6x – 0.08x2, in meters. What is the height of the ball at its highest point? |
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A. |
18.8 m |
B. |
2.13 m |
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C. |
3.78 m |
D. |
1 m |
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Hint |
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14. |
What is the new equation if the graph y = 2x3 – 6x2 is moved down 1 unit? |
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A. |
y = 2x3 – 6x2 + 1 |
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B. |
y = 2x3 – 5x2 |
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C. |
y = 2x3 – 6x2 – 1 |
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D. |
y = x3 – 6x2 |
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Hint |
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15. |
What is the reciprocal of ? |
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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. |
What is the reciprocal of –20? Evaluate it in decimal form. |
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A. |
–0.02 |
B. |
–0.50 |
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C. |
–0.05 |
D. |
–0.20 |
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Hint |
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17. |
Consider the equation . What happens to the value of y when x is divided by 4? |
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A. |
y is subtracted from 4 |
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B. |
y is divided by 4 |
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C. |
y is added to 4 |
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D. |
y is multiplied by 4 |
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Hint |
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18. |
What is a conjecture? |
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A. |
a ''shot in the dark'' guess that hasn't been proved yet |
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B. |
an educated guess that hasn't been proved yet |
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C. |
a ''shot in the dark'' guess that has been proved |
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D. |
an educated guess that has been proved |
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Hint |
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19. |
What type of relationship does the equation have if its second differences are constant? |
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A. |
constant |
B. |
linear |
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C. |
cubic |
D. |
quadratic |
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Hint |
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20. |
Consider the following conjecture. If an even number is written 2k, where k is a whole number, then 2k + 1 must be an odd number. What can be your next course of action in dealing with this conjecture? |
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A. |
find a counterexample to disprove the conjecture |
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B. |
all answers are correct |
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C. |
develop an argument to prove the conjecture |
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D. |
test every possible case to prove the conjecture |
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Hint |
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