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1. |
A parabola describes the shape of the graph of a(n) ___________. |
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A. |
relation |
B. |
linear function |
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C. |
axis of symmetry |
D. |
quadratic function |
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Hint |
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2. |
Which diagram shows the graph of y = –x2 + 2? |
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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. |
Suppose you have the graph of y = x2 and the graph of y = –3x2 + 1. Which statement is not true about the graphs? |
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A. |
The graph of y = x2 is wider than the graph of y = –3x2 + 1. |
B. |
The graphs have the same axis of symmetry. |
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C. |
One graph opens upward, the other opens downward. |
D. |
The graphs have the same vertex. |
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Hint |
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4. |
Find two numbers whose sum is 1 and whose product is –72. |
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A. |
–8 and –9 |
B. |
8 and –9 |
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C. |
–8 and 9 |
D. |
–8 and –9 or 8 and 9 |
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Hint |
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5. |
Solve –4x(x – 7) = 0. |
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A. |
–7 and –4 |
B. |
0 and 7 |
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C. |
–7 and 0 |
D. |
–4 and 7 |
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Hint |
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6. |
Solve x2 – 8x – 20 = 0 by completing the square. |
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A. |
–2 and 10 |
B. |
18 and 22 |
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C. |
–10 and 2 |
D. |
and  |
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Hint |
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7. |
To solve any quadratic equation of the form ax2 + bx + c = 0, which is the correct statement of the Quadratic Formula? |
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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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8. |
Suppose a projectile is fired so that its height can be modeled by the quadratic function h(t) = –16t2 + 125t + 6. Find the approximate time that the projectile hits the ground. |
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A. |
There are no real solutions for t. |
B. |
0.05 seconds |
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C. |
7.9 seconds |
D. |
15.7 seconds |
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Hint |
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9. |
Which graph represents an exponential function? |
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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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10. |
Write an equation of the parabola that is the graph of y = 4x2 + 1 moved left 2 units. |
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A. |
y = 4x2 – 15 |
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B. |
y = 4x2 – 16x + 17 |
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C. |
y = 4x2 + 16x + 17 |
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D. |
y = 4x2 + 17 |
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Hint |
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11. |
Estimate the roots of 2x2 + 3x – 4. |
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A. |
between 2 and 3, between -4 and -3 |
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B. |
between -3 and -2, between -4 and -3 |
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C. |
between 0 and 1, between -3 and -2 |
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D. |
between 0 and -1, between 2 and 3 |
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Hint |
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12. |
Terrez just made a garden in the shape of a parallelogram. If the base of the parallelogram is two feet more than half the height and the area of the garden is 30 square feet, what are the dimensions of the garden? |
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A. |
base: 5 ft height: 6 ft |
B. |
base: 8 ft height: 6 ft |
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C. |
base: 6 ft height: 8 ft |
D. |
base: 6 ft height: 5 ft |
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Hint |
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13. |
Solve x2 – 10x + 21 = 0 by completing the square. |
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A. |
x = 4, x= 2 |
B. |
x= -7, x= -3 |
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C. |
x = 7, x = 3 |
D. |
x = -4, x = -2 |
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Hint |
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14. |
If a piece of paper is folded in half four times, how many sections are formed? |
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A. |
16 |
B. |
12 |
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C. |
8 |
D. |
32 |
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Hint |
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