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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. |
2 |
D. |
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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. |
 |
B. |
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C. |
2 |
D. |
-2 |
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Hint |
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3. |
The greatest power in a quadratic function is ______. |
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A. |
4 |
B. |
1 |
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C. |
2 |
D. |
3 |
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Hint |
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4. |
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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5. |
Which characteristic describes a graph that is linear and has direct variation. |
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A. |
The equation has the form y = mx + b. |
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B. |
The equation has the form y = mx. |
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C. |
Variables x and y are not proportional. |
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D. |
The graph does not pass through (0, 0). |
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Hint |
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6. |
Find the equation that contains a decreasing linear relationship. |
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A. |
y = 5 – 6x |
B. |
y = 4x – 3 |
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C. |
y = 12+ 2x |
D. |
y = 10 + x |
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Hint |
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7. |
Find the graph that is nonlinear. |
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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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8. |
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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9. |
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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10. |
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 = –2x + 1 |
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C. |
y = –x + 2 |
D. |
y = –x – 1 |
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Hint |
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11. |
Which three points are collinear? |
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A. |
(1, 2), (–3, –2), (–2, –4) |
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B. |
(3, –1), (2, 5), (2, –3) |
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C. |
(–4, 4), (0, –4), (–1, –2) |
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D. |
(–5, 2), (1, 1), (4, 4) |
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Hint |
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12. |
Which table shows a quadratic relationship? |
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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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13. |
What is the lowest point on the graph of y = x2 + 2? |
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A. |
(0, 0) |
B. |
(0, –2) |
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C. |
(2, 0) |
D. |
(0, 2) |
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Hint |
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14. |
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 down 1 unit |
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D. |
the graph of y = (x + 1)2 moved up 1 unit |
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Hint |
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15. |
Find the equation of the graph below. |
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A. |
y = (x - 3)2 |
B. |
y = x2 + 3 |
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C. |
y = (x + 3)2 |
D. |
y = x2 – 3 |
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Hint |
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16. |
In the relationship  , why is y inversely proportional to x? |
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A. |
the relationship is undefined at x = 0 |
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B. |
8 is divided into y |
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C. |
the product of xy is a constant, 8 |
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D. |
8 is divided into x |
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Hint |
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17. |
What is a conjecture? |
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A. |
a ''shot in the dark'' guess that has been proved |
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B. |
a ''shot in the dark'' guess that hasn't been proved yet |
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C. |
an educated guess that hasn't been proved yet |
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D. |
an educated guess that has been proved |
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Hint |
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18. |
What type of relationship does the equation have if its first differences are constant? |
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A. |
linear |
B. |
constant |
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C. |
cubic |
D. |
quadratic |
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Hint |
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19. |
How many counterexamples are needed to prove a conjecture wrong? |
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A. |
2 |
B. |
4 |
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C. |
3 |
D. |
1 |
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Hint |
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20. |
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 = 2 |
B. |
m = 1, n = 0 |
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C. |
m = –2, n = 0 |
D. |
m = 1, n = 1 |
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Hint |
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