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1. |
Name the property illustrated by the statement below.
If 5n = 15, then 15 = 5n. |
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A. |
symmetric property of equality |
B. |
transitive property of equality |
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C. |
reflexive property of equality |
D. |
substitution property of equality |
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Hint |
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2. |
Determine which matrix has a determinant. |
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A. |
 |
B. |
[1 -4 -8] |
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C. |
 |
D. |
 |
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Hint |
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3. |
Write the matrix equation  as a system of linear equations. |
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A. |
-2s = 7
5t = 12 |
B. |
-2s + t = 12
5s + 8t = 7 |
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C. |
-2s + t = 7
5s + 8t = 12 |
D. |
-2s + 5t = 7
s + 8t = 12 |
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Hint |
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4. |
Find the product of -15i and its conjugate. |
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A. |
15i |
B. |
225i |
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C. |
225 |
D. |
-225 |
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Hint |
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5. |
What is the degree of the polynomial p(x) = 2x5 - 6x4 + 2x2 + 7x - 9? |
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A. |
3 |
B. |
4 |
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C. |
5 |
D. |
2 |
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Hint |
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6. |
Solve log6 ( y2 - 9) = log6 ( 7y - 21). |
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A. |
3, 4 |
B. |
-6, 4 |
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C. |
4 |
D. |
3, 6 |
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Hint |
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7. |
Solve log3 (x + 4) - log3 (x - 2) = 2 log3 2. |
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A. |
6 |
B. |
8 |
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C. |
4 |
D. |
9 |
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Hint |
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8. |
Business An analyst estimates that the computers his company just bought will depreciate at a rate of 25% per year. At this rate, approximately how long will it take a computer to depreciate to 30% of its original value? |
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A. |
10 years |
B. |
5 years |
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C. |
3 years |
D. |
4 years |
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Hint |
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9. |
What are the arithmetic means of the sequence 31, ___, ___, ___, 3? |
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A. |
25, 20, 15 |
B. |
24, 17, 10 |
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C. |
28, 20, 12 |
D. |
38, 45, 52 |
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Hint |
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10. |
Find the arithmetic means of the sequence  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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11. |
Find C(10, 3). |
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A. |
34 |
B. |
120 |
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C. |
144 |
D. |
80 |
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Hint |
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12. |
Which of the following systems of equations is inconsistent? |
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A. |
3y + 2x = 13 6y + 4x = 3 |
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B. |
4y – x = 12 3y – 2x = 1 |
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C. |
y = 2x – 3 y = –3x + 4 |
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D. |
y = 7x – 2 y = –2x – 5 |
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Hint |
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13. |
Find the coordinates of the vertices of the image of a triangle FGH with F(-4, 2), G(-3, -3), H(3,4) after it is rotated 270° counterclockwise about the origin. |
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A. |
F'(2, 4), G'(-3, 3),H'(4, -3) |
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B. |
F'(-2, 4), G'(3, 3),H'(-4, -3) |
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C. |
F'(2, -4), G'(-3, -3),H'(4, 3) |
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D. |
F'(4, 2), G'(3, -3),H'(-3, 4) |
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Hint |
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14. |
Express the result in scientific notation.  |
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A. |
1.25 × 10-10 |
B. |
1.25 × 1010 |
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C. |
1.25 × 104 |
D. |
1.25 × 10-4 |
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Hint |
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15. |
Determine whether the expression x + y + z is a monomial, binomial, or trinomial. |
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A. |
binomial |
B. |
monomial |
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C. |
trinomial |
D. |
Cannot be determined from given information. |
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Hint |
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16. |
The graph represents which of the following? |
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A. |
circle |
B. |
hyperbola |
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C. |
ellipse |
D. |
parabola |
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Hint |
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17. |
Gail and Gayla throw balls into the air. The equation  represents Gail's throw, where x is time in seconds, and y is height. Gayla's throw is represented by  When are the balls at the same height? |
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A. |
never |
B. |
at –1 seconds |
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C. |
at 7 seconds |
D. |
at 5 seconds |
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Hint |
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18. |
What is the equation of the vertical asymptote in the figure? |
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A. |
x = 0 |
B. |
x = 3 |
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C. |
y = 0 |
D. |
x =  |
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Hint |
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19. |
What is the 21st iterate of the function  if x0 = 3. |
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A. |
–3 |
B. |
–19 |
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C. |
–1 |
D. |
3 |
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Hint |
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20. |
Which of the following is a counterexample to the statement 8p – 3 is prime? |
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A. |
p = 3 |
B. |
p = 4 |
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C. |
none of the above |
D. |
p = 2 |
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Hint |
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