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1. |
Determine the slope of the line graphed below. |
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A. |
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B. |
0 |
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C. |
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D. |
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Hint |
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2. |
A line of best-fit should not be drawn for which of the following graphs. |
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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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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. |
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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5. |
Determine the slope of the line containing the points P(-7, -8) and Q(3, 0). |
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A. |
2 |
B. |
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C. |
-2 |
D. |
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Hint |
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6. |
Which characteristic describes a graph that is linear and has direct variation. |
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A. |
The graph does not pass through (0, 0). |
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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 equation has the form y = mx + b. |
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Hint |
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7. |
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 started a job and deposited $10 per week. |
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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 earned $50 mowing lawns the previous week and deposited the money in the bank. |
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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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8. |
What is the equation of a line that has a slope of 4 and passes through (6, 3)? |
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A. |
y = 4x – 27 |
B. |
y = 4x – 3 |
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C. |
y = 4x – 7 |
D. |
y = 4x – 21 |
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Hint |
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9. |
Which three points are collinear? |
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A. |
(1, 2), (–3, –2), (–2, –4) |
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B. |
(–5, 2), (1, 1), (4, 4) |
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C. |
(–4, 4), (0, –4), (–1, –2) |
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D. |
(3, –1), (2, 5), (2, –3) |
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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 + 8 = 3(x + 1) |
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B. |
–6x + 2y + 10 = 0 |
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C. |
y = 3x – 5 |
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D. |
y = 3x + 8 |
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Hint |
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11. |
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 up 1 unit |
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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 down 1 unit |
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Hint |
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12. |
In the relationship , why is y inversely proportional to x? |
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A. |
8 is divided into y |
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B. |
the product of xy is a constant, 8 |
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C. |
the relationship is undefined at x = 0 |
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D. |
8 is divided into x |
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Hint |
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13. |
Find which equation does not represent a reciprocal relationship. |
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A. |
ab = 3 |
B. |
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C. |
–6 = ef |
D. |
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Hint |
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14. |
How does a affect graphs of equations in the form of ? |
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A. |
a affects the length of the graph |
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B. |
negative values of a move the graph to the left, positive values move it to the right |
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C. |
a affects the width of the graph |
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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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15. |
How does b affect graphs of equations in the form of ? |
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A. |
b affects the width of the graph |
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B. |
positive values of b move the graph to the left, negative values move it to the right |
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C. |
negative values of b move the graph to the left, positive values move it to the right |
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D. |
b affects the length of the graph |
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Hint |
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16. |
What are the second differences in the y-values? |
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A. |
0 |
B. |
2 |
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C. |
1 |
D. |
–1 |
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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 increase by 12 |
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B. |
they are constant |
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C. |
they increase by 1 |
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D. |
they decrease by 1 |
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Hint |
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18. |
What type of relationship does the equation have if its second differences are constant? |
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A. |
linear |
B. |
constant |
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C. |
quadratic |
D. |
cubic |
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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. |
develop an argument to prove the conjecture |
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B. |
all answers are correct |
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C. |
test every possible case to prove the conjecture |
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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 = 1 |
B. |
m = 1, n = 0 |
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C. |
m = 1, n = 2 |
D. |
m = –2, n = 0 |
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Hint |
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