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1. |
Name the property illustrated by (3c · 6)2 = 3c(6 · 2). |
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A. |
commutative property of addition |
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B. |
commutative property of multiplication |
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C. |
associative property of multiplication |
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D. |
associative property of addition |
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Hint |
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2. |
What is true about the system  and  |
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A. |
The system is consistent and dependent. |
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B. |
The system is consistent and independent. |
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C. |
The system is inconsistent. |
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D. |
The system has infinitely many solutions. |
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Hint |
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3. |
Use synthetic division to find  |
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A. |
 |
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B. |
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C. |
2d3 - d2 + 2d - 4 + 5 |
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D. |
 |
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Hint |
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4. |
Simplify  |
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A. |
 |
B. |
 |
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C. |
2i |
D. |
 |
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Hint |
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5. |
Simplify (8 - 9i) + (3 + 4i). |
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A. |
11 + 5i |
B. |
-i + 17 |
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C. |
11 - 5i |
D. |
17 + 7i |
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Hint |
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6. |
Find the axis of symmetry of the graph of g(x) = x2 - 5x + 2. |
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A. |
x = 2 |
B. |
 |
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C. |
x = -5 |
D. |
 |
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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. |
0 |
B. |
1 |
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C. |
3 |
D. |
2 |
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Hint |
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8. |
Suppose p varies jointly as r and t. If p = 1 when r = -5 and t = 2, find t when p = 6 and r = 12. |
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A. |
-6.4 |
B. |
-7.2 |
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C. |
-5.4 |
D. |
-5 |
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Hint |
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9. |
Solve  |
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A. |
1, 4 |
B. |
-1, 4 |
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C. |
0 |
D. |
-1 |
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Hint |
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10. |
Solve  |
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A. |
y < -3 or 0 < y < 1 |
B. |
y < -3 |
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C. |
-3 < y < 0 or y > 1 |
D. |
-3 < y < 1 |
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Hint |
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11. |
Simplify  . |
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A. |
 |
B. |
n + 1 |
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C. |
n + 1 |
D. |
n |
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Hint |
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12. |
What is the inequality represented in the graph? |
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A. |
x + 2y > 4 |
B. |
x + 2y  4 |
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C. |
x + 2y > 4 |
D. |
x + 2y  4 |
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Hint |
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13. |
Solve the system of equations 3x – 5y = 4
–2x + 4y = 3. |
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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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14. |
Which of the following is not a vertex of the figure formed by  |
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A. |
(2, –1) |
B. |
(0, 2) |
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C. |
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D. |
(6, 4) |
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Hint |
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15. |
What are the coordinates of the vertices of the image of rectangle HJKL with H(4, 1), J(-3, -2), K(2, -6), and L(-4, 5) after a reflection across the x-axis? |
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A. |
H'(-4, –1), J'(-3, -2), K'(-2, -6), L'(-4, -5) |
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B. |
H'(-4, 1), J'(3, -2), K'(-2, -6), L>'(4, 5) |
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C. |
H'(-4, –1), J'(3, 2), K'(-2, 6), L'(4, -5) |
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D. |
H'(4, –1), J'(-3, 2), K'(2, 6), L'(-4, -5) |
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Hint |
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16. |
In order for a matrix to have an inverse, what must be true? |
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A. |
ad – bc = 0 |
B. |
ad – bc = 1 |
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C. |
ad – bc  1 |
D. |
ad – bc 0 |
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Hint |
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17. |
Determine whether the expression x + y + z is a monomial, binomial, or trinomial. |
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A. |
binomial |
B. |
trinomial |
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C. |
Cannot be determined from given information. |
D. |
monomial |
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Hint |
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18. |
Which of the following is a zero of the polynomial  |
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A. |
 |
B. |
6 |
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C. |
 |
D. |
 |
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Hint |
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19. |
Suppose black coffee has a pH of 5 and milk of magnesia has a pH of 10. How many times more hydrogen ions are in black coffee than in milk of magnesia? (pH = –log[H+], where H+ is the substance's hydrogen ion concentration in moles per liter) |
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A. |
100,000 times |
B. |
100 times |
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C. |
2 times |
D. |
5 times |
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Hint |
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20. |
Which of the following is not always a step in mathematical induction? |
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A. |
Assume true for a positive integer k. |
B. |
Prove true for some integer n. |
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C. |
Add (k + 1)2 to each side. |
D. |
Prove true for n + 1. |
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Hint |
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