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1. |
Find (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
6x2 + 5 |
B. |
6x2 - 5 |
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C. |
12x2 - 36x + 28 |
D. |
12x2 + 36x + 28 |
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Hint |
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2. |
Find the x- and y-intercepts for 3x + 4y - 12 = 0. |
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A. |
(0, 3) and (4, 0) |
B. |
(-3, 0) and (0, -4) |
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C. |
(0, 4) and (3, 0) |
D. |
(-4, 0) and (0, -3) |
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Hint |
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3. |
Determine whether the graphs of the pair of equations 3x - 2y = 7 and 3x + 2y = 7 are parallel, coinciding, or neither. |
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A. |
neither |
B. |
coinciding |
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C. |
parallel |
D. |
all are correct |
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Hint |
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4. |
The math scores, x, and chemistry scores, y, for six students are given in the table. Use a graphing calculator to find the Pearson product-moment correlation. |
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A. |
about 0.65 |
B. |
about 0.68 |
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C. |
about 0.74 |
D. |
about 0.71 |
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Hint |
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5. |
The equation 2x - y + 3z = 5 represents _____________ |
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A. |
a plane. |
B. |
a line. |
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C. |
a circle. |
D. |
none of these. |
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Hint |
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6. |
Solve the systems of equations by using matrix equations. |
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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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7. |
Solve the system of inequalities by graphing. |
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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. |
Determine the symmetry of the graph of xy = -4. |
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A. |
the line y = x and the line y = -x |
B. |
the line y = x |
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C. |
the line y = -x |
D. |
none is correct |
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Hint |
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9. |
Describe how the graphs of f(x) = |2x| and g(x) = -|2x| are related. |
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A. |
None are true. |
B. |
The graph of g(x) is a reflection of the graph of f(x) over the x- and y-axes. |
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C. |
The graph of g(x) is a reflection of the graph of f(x) over the x-axis. |
D. |
The graph of g(x) is a reflection of the graph of f(x) over the y-axis. |
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Hint |
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10. |
Which point is one of an infinite number of solutions for the inequality y > (x + 2)2 - 4? |
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A. |
(1, 5) |
B. |
(2, 12) |
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C. |
(3, 4) |
D. |
(-1, 5) |
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Hint |
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11. |
Find the number of positive real zeros for f(x) = 3x5 + 2x3 + x2 + 7x - 1 = 0. |
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A. |
no positive real zeros |
B. |
4 or 2 or 0 positive real zeros |
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C. |
4 or 2 positive real zeros |
D. |
exactly 1 positive real zero |
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Hint |
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12. |
Solve - x + 1 = 0. |
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A. |
1, 2 |
B. |
1, -2 |
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C. |
-1, -2 |
D. |
-1, 2 |
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Hint |
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13. |
How can you tell if two lines are perpendicular? |
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A. |
The slopes are opposite reciprocals. |
B. |
The slopes are reciprocals. |
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C. |
The slopes are the same. |
D. |
The slopes are opposites. |
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Hint |
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14. |
Which is the graph of the inequality y > |2x + 1| ? |
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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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15. |
Given A = [3 -2], C = , find AC. |
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A. |
impossible |
B. |
[14 3 13] |
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C. |
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D. |
[-10 -4 -2] |
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Hint |
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16. |
Determine the coordinates of a dilated figure with a scale factor of 1.5 if the vertices of the original are A(3,5), B(-4,5), C(-4,-5), and D(3,-5) |
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A. |
A(4.5,7.5), B(-6,7.5), C(-6,-7.5) and D(4.5,-7.5) |
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B. |
A(1.5,2.5), B(-2,2.5), C(-2,-2.5), and D(1.5,-2.5) |
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C. |
A(1.5,3.5), B(-5.5,3.5), C(-5.5,-6.5) and D(1.5,-6.5) |
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D. |
A(4.5,6.5), B(-2.5,6.5), C(-2.5,-3.5) and D(4.5,-3.5) |
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Hint |
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17. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account that earns 3% interest. He wants no less than $5,000 in the account with 7% interest. Write a system of inequalities to represent this situation. |
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A. |
x 3000 y 5000 x + y 10,000 |
B. |
x 5000 y 3000 x + y 10,000 |
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C. |
x 3000 y 5000 x + y 10,000 |
D. |
x 3000 y 5000 x + y 10,000 |
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Hint |
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18. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account with 3% interest. He wants no less than $5,000 in the account with 7% interest. For the equation l(x, y) = 30x + 70y find the maximum interest if the vertices are (3,5), (3,7) and (5,5) |
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A. |
500 |
B. |
440 |
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C. |
no maximum |
D. |
580 |
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Hint |
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19. |
The equation f(-x) = -f(x) is true for which statement? |
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A. |
only even functions |
B. |
only functions with point symmetry |
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C. |
only odd functions |
D. |
both odd functions and relations symmetrical about the origin |
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Hint |
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20. |
The function f(x) = - (x + 2)3 - 3 has a critical point at x = -2. Determine whether this is the location of a maximum, minimum or a point of inflection. |
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A. |
point of inflection |
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B. |
minimum |
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C. |
extremum |
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D. |
maximum |
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Hint |
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