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1. |
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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2. |
Simplify  Assume the denominator is not equal to zero. |
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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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3. |
Determine the slope of the line containing the points P(-7, -8) and
Q(3, 0). |
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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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4. |
Solve the equation x2 = 0.81. |
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A. |
x = 0.9 or x = -0.9 |
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B. |
none of these is correct |
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C. |
x = 0.9 only |
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D. |
x = -0.9 only |
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Hint |
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5. |
Simplify  |
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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. |
Find the equation that has direct variation. |
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A. |
y = 4x |
B. |
y = 0.8x + 9 |
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C. |
y = 5x + 1.3 |
D. |
y = –3x – 1 |
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Hint |
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7. |
Find the equation that contains a decreasing linear relationship. |
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A. |
y = 10 + x |
B. |
y = 5 – 6x |
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C. |
y = 12+ 2x |
D. |
y = 4x – 3 |
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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 – 21 |
B. |
y = 4x – 27 |
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C. |
y = 4x – 3 |
D. |
y = 4x – 7 |
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Hint |
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9. |
Which three points are collinear? |
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A. |
(–4, 4), (0, –4), (–1, –2) |
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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. |
(1, 2), (–3, –2), (–2, –4) |
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Hint |
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10. |
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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11. |
How many diagonals does a 25-sided polygon have? |
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A. |
300 |
B. |
550 |
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C. |
25 |
D. |
275 |
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Hint |
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12. |
Which equation is in the same family as y = x2? |
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A. |
y = x2 – 3 |
B. |
y = x3 – 3 |
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C. |
y = 2x2 – 3 |
D. |
y = 2x – 3 |
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Hint |
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13. |
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 – 2 |
D. |
y = 5x2 – 1 |
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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 – 6x2 – 1 |
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B. |
y = 2x3 – 5x2 |
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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 –20? Evaluate it in decimal form. |
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A. |
–0.20 |
B. |
–0.50 |
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C. |
–0.05 |
D. |
–0.02 |
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Hint |
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16. |
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 12 |
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C. |
they are constant |
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D. |
they increase by 1 |
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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 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. |
cubic |
D. |
quadratic |
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Hint |
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19. |
Which differences are constant in a cubic equation? |
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A. |
fourth |
B. |
third |
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C. |
second |
D. |
first |
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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 = –2, n = 0 |
D. |
m = 1, n = 2 |
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Hint |
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