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1. |
Choose the matrix that represents the ordered triple (5, -7, 1). |
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A. |
[5 -7 1] |
B. |
[1 -7 5] |
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C. |
 |
D. |
 |
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Hint |
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2. |
Find (c2 + 2c - 6)(c + 5). |
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A. |
c3 + 2c2 - 30 |
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B. |
c3 + 7c2 + 4c - 30 |
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C. |
c3 + 2c2 - 6c - 30 |
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D. |
c3 + 2c2 + 5 |
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Hint |
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3. |
Simplify  |
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A. |
±84.5 |
B. |
13 |
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C. |
±13 |
D. |
-13 |
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Hint |
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4. |
Use the graph to determine the solution of -x2 + 6x - 9 = 0. |
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 |
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A. |
-9 |
B. |
3 |
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C. |
2 |
D. |
4 |
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Hint |
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5. |
Solve x2 - 6x = 0 by graphing or by factoring. |
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A. |
-6, 0 |
B. |
-6 |
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C. |
0, 6 |
D. |
0 |
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Hint |
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6. |
Solve x2 - 6x + 25 = 0. |
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A. |
 |
B. |
-3 ± 4i |
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C. |
6 ± 8i |
D. |
3 ± 4i |
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Hint |
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7. |
State the number of positive real zeros for the polynomial
f(x) = x3 + 4x2 + x + 5. |
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A. |
2 |
B. |
1 |
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C. |
3 |
D. |
0 |
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Hint |
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8. |
Solve  |
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A. |
-1 |
B. |
0 |
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C. |
1, 4 |
D. |
-1, 4 |
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Hint |
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9. |
Solve the equation 3y + 8 = 36. |
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A. |
20 |
B. |
 |
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C. |
4 |
D. |
 |
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Hint |
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10. |
Find the area of a triangle whose vertices are located at (-3, 2), (0, -5), and (4, 4). |
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A. |
 |
B. |
1 |
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C. |
 |
D. |
55 |
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Hint |
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11. |
Two sides of an angle are contained in lines whose equations are 6x + 4y = 15 and 7x – 9y = 3. Find the coordinates of the vertex of the angle. Round to the nearest hundredth. |
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A. |
(–147, –87) |
B. |
(1.79, 1.06) |
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C. |
(147, 87) |
D. |
(–1.79, 1.06) |
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Hint |
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12. |
Determine whether the expression x + y + z is a monomial, binomial, or trinomial. |
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A. |
monomial |
B. |
Cannot be determined from given information. |
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C. |
binomial |
D. |
trinomial |
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Hint |
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13. |
If the vertex of a parabola is (3, -4), what is its axis of symmetry? |
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A. |
y = 3 |
B. |
x = -4 |
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C. |
x = 3 |
D. |
y = -4 |
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Hint |
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14. |
Solve 0 = x2 + 4x + 5 by graphing. |
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A. |
2 |
B. |
–1, 5 |
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C. |
no real roots |
D. |
1, –5 |
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Hint |
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15. |
Find the value for the discriminant for the following equation:  . Then describe the number and type of roots. |
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A. |
The discriminant is 96, which is not a perfect square; therefore, there are two irrational roots. |
B. |
The discriminant is negative, so there are two complex roots. |
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C. |
The discriminant is 100, which is not a perfect square; therefore, there are two irrational roots |
D. |
The discriminant is 100, which is a perfect square; therefore, there are two rational roots |
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Hint |
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16. |
Given that  and  , find  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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17. |
What are the x- and y-intercepts of  ? |
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A. |
x: –5, y: |
B. |
x: no intercept, y: |
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C. |
x:, y: –5 |
D. |
x: 5, y: |
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Hint |
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18. |
Solve the equation 2 log 6 x – log 6 5 = log 6 125. |
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A. |
312.5 |
B. |
25 |
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C. |
–25 |
D. |
no solution |
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Hint |
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19. |
Express log 6 15 in terms of common logarithms. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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20. |
Shrinivas deposited $1300 in an account which pays 8% annual interest, compounded continuously. How long will it take to reach $3500? |
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A. |
12.4 years |
B. |
1.2 years |
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C. |
176 years |
D. |
9.2 years |
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Hint |
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