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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. |
What is the slope of in parallelogram ABCD? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
The table shows the possible lengths and widths of a rectangle that has an area of 72 square centimeters. Make a scatter plot of the data. |
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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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4. |
Determine the slope of the line containing the points P(-7, -8) and Q(3, 0). |
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A. |
 |
B. |
2 |
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C. |
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D. |
-2 |
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Hint |
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5. |
The graph of a linear function is _______. |
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A. |
a horizontal line only |
B. |
a straight line |
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C. |
None of these is correct |
D. |
a curved line |
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Hint |
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6. |
The greatest power in a quadratic function is ______. |
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A. |
2 |
B. |
3 |
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C. |
1 |
D. |
4 |
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Hint |
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7. |
Find the equation that has direct variation. |
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A. |
y = 5x + 1.3 |
B. |
y = –3x – 1 |
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C. |
y = 4x |
D. |
y = 0.8x + 9 |
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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. |
An airplane that begins at 20,000 feet and descends for a landing on the ground at the airport. |
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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. |
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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D. |
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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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 –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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11. |
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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12. |
Find the graph of y = x2 + 1. |
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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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13. |
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 down 1 unit |
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B. |
the graph of y = (x+1)2 moved 1 unit to the right |
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C. |
the graph of y = (x + 1)2 moved 1 unit to the left |
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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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14. |
Find a quadratic equation for the table. |
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A. |
y = x2 – 5 |
B. |
y = 5x2 – 2 |
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C. |
y = 5x2 + 1 |
D. |
y = 5x2 – 1 |
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Hint |
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15. |
Find the equation of the following graph. |
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A. |
y =  |
B. |
y = x3 |
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C. |
y = x2 |
D. |
y =  |
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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 x |
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C. |
8 is divided into y |
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D. |
the product of xy is a constant, 8 |
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Hint |
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17. |
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 1 |
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C. |
they increase by 12 |
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D. |
they are constant |
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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. |
quadratic |
B. |
linear |
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C. |
constant |
D. |
cubic |
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Hint |
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19. |
Which differences are constant in a cubic equation? |
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A. |
second |
B. |
first |
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C. |
third |
D. |
fourth |
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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. |
develop an argument to prove the conjecture |
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C. |
test every possible case to prove the conjecture |
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D. |
all answers are correct |
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Hint |
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