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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. |
8y = - 6x |
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B. |
3x + 4y = -16 |
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C. |
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D. |
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Hint |
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2. |
Find the equation that has direct variation. |
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A. |
y = –3x – 1 |
B. |
y = 5x + 1.3 |
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C. |
y = 4x |
D. |
y = 0.8x + 9 |
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Hint |
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3. |
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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4. |
Find the equation that is nonlinear. |
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A. |
y = 14 + 6x |
B. |
y = 4y2 |
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C. |
y = 8 – x |
D. |
y = –3x – 1 |
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Hint |
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5. |
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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6. |
Pam's mother gives Pam $20 each week for lunch to be bought at the school cafeteria. Lunches cost $4 per day. Draw a graph showing the amount Pam has left decreasing very slowly. Suppose you graph the time in days on the horizontal axis and the amount Pam has left 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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7. |
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 – 1 |
B. |
y = –x + 2 |
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C. |
y = –2x + 1 |
D. |
y = –x – 2 |
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Hint |
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8. |
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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9. |
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. |
(0, –2) |
D. |
(2, 0) |
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Hint |
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10. |
How many diagonals are connected to each vertex for a 25-sided polygon? |
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A. |
22 |
B. |
21 |
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C. |
20 |
D. |
25 |
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Hint |
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11. |
Which equation is in the same family as y = x2? |
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A. |
y = x2 – 3 |
B. |
y = 2x – 3 |
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C. |
y = x3 – 3 |
D. |
y = 2x2 – 3 |
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Hint |
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12. |
Find a quadratic equation for the table. |
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A. |
y = x2 – 5 |
B. |
y = 5x2 + 1 |
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C. |
y = 5x2 – 1 |
D. |
y = 5x2 – 2 |
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Hint |
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13. |
Find the cubic equation. |
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A. |
y = 5x3 + 2x |
B. |
y = x(x3 + 1) |
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C. |
y = x2 + 5 |
D. |
y = 3x |
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Hint |
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14. |
Consider the equation xy = 3. What happens to the value of y when x doubles? |
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A. |
y triples |
B. |
y halves |
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C. |
y quarters |
D. |
y doubles |
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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. |
negative values of a move the graph to the left, positive values move it to the right |
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B. |
positive values of a move the graph to the left, negative values move it to the right |
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C. |
a affects the width of the graph |
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D. |
a affects the length of the graph |
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Hint |
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17. |
What are the second differences in the y-values? |
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A. |
–1 |
B. |
1 |
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C. |
2 |
D. |
0 |
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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. |
cubic |
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C. |
linear |
D. |
constant |
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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. |
fourth |
D. |
third |
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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. |
all answers are correct |
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B. |
test every possible case to prove the conjecture |
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C. |
find a counterexample to disprove the conjecture |
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D. |
develop an argument to prove the conjecture |
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Hint |
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