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1. |
The equation x2 + 1 = -3x does not have integral roots. State the consecutive integers between which the roots lie. |
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A. |
between -3 and -2 and between -1 and 0 |
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B. |
between -3 and -2 and between 0 and 1 |
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C. |
between 0 and 1 and between 2 and 3 |
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D. |
between -1 and 0 and between 0 and 1 |
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Hint |
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2. |
A quadratic function has a maximum point at (1, 4). The roots of the related quadratic equation are -1 and 3. Which is the graph of the function? |
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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. |
Use the quadratic formula to solve 3y2 + 2 = 8y. Approximate the solutions to the nearest hundredth. |
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A. |
-0.64, 1.32 |
B. |
0.56, 4.77 |
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C. |
0.43, 2.87 |
D. |
0.28, 2.39 |
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Hint |
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4. |
What is the y-intercept of the graph of y = 4x - 2? |
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A. |
-2 |
B. |
0 |
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C. |
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D. |
-1 |
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Hint |
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5. |
Which equation represents exponential decay? |
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A. |
y = 1.05(0.95)x |
B. |
y = 2.62(1.22)x |
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C. |
y = 1.7(1.06)x |
D. |
y = 0.86(1.46)x |
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Hint |
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6. |
Solve a2 - a - 20 = 0 by completing the square. |
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A. |
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B. |
-4, 5 |
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C. |
-5, 4 |
D. |
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Hint |
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7. |
Find the vertex of y = –2x2 + 4x – 3, and tell whether it is a maximum or minimum. |
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A. |
(–1, –9), maximum |
B. |
(1, –1), maximum |
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C. |
(1, 3), minimum |
D. |
(–1, 1), maximum |
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Hint |
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8. |
The sum of two numbers is 2, and the product is 3. What are the numbers? |
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A. |
–1 and 3 |
B. |
no solution |
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C. |
1 and 1 |
D. |
1 and –3 |
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Hint |
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9. |
Which method of solving quadratic equations should be used when only an estimated solution is necessary? |
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A. |
graphing |
B. |
completing the square |
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C. |
quadratic formula |
D. |
factoring |
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Hint |
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10. |
Nancy invests $100 in one account for ten years at a 9% interest rate compounded annually, and she invests $150 in an account for 10 years at a 6% interest rate compounded semi-annually. How much money will she have in the accounts after 10 years? |
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A. |
$505.36 |
B. |
$507.65 |
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C. |
$270.92 |
D. |
$236.74 |
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Hint |
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