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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. |
-2 |
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C. |
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D. |
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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 + 1 |
B. |
y = 4x + 3 |
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C. |
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D. |
y = 2x |
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Hint |
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3. |
Which pair of lines graphed below are parallel? |
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A. |
l and m |
B. |
l and n |
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C. |
k and n |
D. |
k and m |
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Hint |
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4. |
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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5. |
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. |
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D. |
-3 |
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Hint |
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6. |
What is the equation of the graph shown? |
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A. |
y = x2 + 2x + 1 |
B. |
y = x2 - 2x + 1 |
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C. |
y = -x2 - 2x - 1 |
D. |
y = -x2 +2x - 1 |
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Hint |
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7. |
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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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. |
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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10. |
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. |
(–5, 2), (1, 1), (4, 4) |
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D. |
(–4, 4), (0, –4), (–1, –2) |
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Hint |
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11. |
Find the graph of y = x2. |
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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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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. |
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. |
1 m |
B. |
2.13 m |
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C. |
3.78 m |
D. |
18.8 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 – 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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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. |
How does a affect graphs of equations in the form of ? |
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A. |
a affects the width of the graph |
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B. |
a affects the length of the graph |
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C. |
negative values of a move the graph to the left, positive values move it to the right |
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D. |
positive values of a move the graph to the left, negative values move it to the right |
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Hint |
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17. |
What type of relationship does the equation have if its first differences are constant? |
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A. |
cubic |
B. |
quadratic |
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C. |
constant |
D. |
linear |
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Hint |
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18. |
What is the relationship between constant second differences and the coefficient of the equation? |
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A. |
the second difference is the same as the coefficient |
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B. |
the second difference is opposite the coefficient |
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C. |
the second difference is –2 times the coefficient |
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D. |
the second difference is 2 times the coefficient |
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Hint |
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19. |
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. |
test every possible case to prove the conjecture |
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B. |
develop an argument to prove the conjecture |
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C. |
all answers are correct |
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D. |
find a counterexample to disprove the conjecture |
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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 = 0 |
B. |
m = 1, n = 1 |
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C. |
m = 1, n = 2 |
D. |
m = –2, n = 0 |
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Hint |
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