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1. |
Determine whether the number is rational or irrational. |
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A. |
both |
B. |
irrational |
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C. |
neither |
D. |
rational |
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Hint |
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2. |
The graph of a linear function is _______. |
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A. |
a curved line |
B. |
a horizontal line only |
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C. |
None of these is correct |
D. |
a straight line |
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Hint |
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3. |
If a rocket is fired from the ground with an initial velocity of 75 meters per second, then the height of the rocket after t seconds is h = 75t - 4.9t2. Find the height of the rocket after 3 seconds. |
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A. |
180.9 meters |
B. |
252.5 meters |
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C. |
221.6 meters |
D. |
130.4 meters |
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Hint |
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4. |
The greatest power in a quadratic function is ______. |
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A. |
1 |
B. |
4 |
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C. |
3 |
D. |
2 |
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Hint |
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5. |
Simplify  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Find the equation that has direct variation. |
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A. |
y = 0.8x + 9 |
B. |
y = 4x |
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C. |
y = 5x + 1.3 |
D. |
y = –3x – 1 |
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Hint |
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7. |
Describe the location of the line of symmetry of the graph of y = x2 – 2. |
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A. |
the horizontal axis |
B. |
the line y = x |
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C. |
there is no line of symmetry |
D. |
the vertical axis |
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Hint |
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8. |
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 left |
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C. |
the graph of y = (x + 1)2 moved up 1 unit |
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D. |
the graph of y = (x+1)2 moved 1 unit to the right |
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Hint |
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9. |
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. |
18.8 m |
B. |
3.78 m |
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C. |
2.13 m |
D. |
1 m |
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Hint |
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10. |
What is the reciprocal of –20? Evaluate it in decimal form. |
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A. |
–0.02 |
B. |
–0.50 |
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C. |
–0.05 |
D. |
–0.20 |
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Hint |
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11. |
Consider the equation . What happens to the value of y when x is divided by 4? |
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A. |
y is subtracted from 4 |
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B. |
y is added to 4 |
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C. |
y is multiplied by 4 |
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D. |
y is divided by 4 |
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Hint |
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12. |
How does b affect graphs of equations in the form of ? |
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A. |
b affects the length 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. |
b affects the width of the graph |
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D. |
negative values of b move the graph to the left, positive values move it to the right |
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Hint |
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13. |
What is a conjecture? |
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A. |
an educated guess that hasn't been proved yet |
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B. |
a ''shot in the dark'' guess that hasn't been proved yet |
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C. |
an educated guess that has been proved |
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D. |
a ''shot in the dark'' guess that has been proved |
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Hint |
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14. |
Which differences are constant in a cubic equation? |
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A. |
first |
B. |
third |
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C. |
fourth |
D. |
second |
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Hint |
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15. |
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 –2 times the coefficient |
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C. |
the second difference is opposite the coefficient |
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D. |
the second difference is 2 times the coefficient |
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Hint |
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16. |
How many counterexamples are needed to prove a conjecture wrong? |
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A. |
1 |
B. |
2 |
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C. |
3 |
D. |
4 |
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Hint |
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17. |
Tell whether the statement is sometimes true, always true, or never true for positive values of n. If it is sometimes true, state for what value it is true. 4n = 6,561. |
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A. |
always true |
B. |
sometimes true, n = 7 |
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C. |
never true |
D. |
sometimes true, n = 8 |
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Hint |
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18. |
Which equation represents exponential growth? |
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A. |
y = 250 × 0.25x |
B. |
y = 250 × 4x |
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C. |
y = 250 · x |
D. |
y = 250 × 0.4c |
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Hint |
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19. |
Evaluate.  |
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A. |
8 |
B. |
–6 |
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C. |
5 |
D. |
6 |
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Hint |
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20. |
Evaluate. |
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A. |
–2 |
B. |
–3 |
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C. |
3 |
D. |
2 |
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Hint |
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