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1. |
Solve the system of equations x = 4 and 3x - 4y = 12 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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2. |
Sketch the graph of the function f(x) = |x2 - 6|. |
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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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3. |
Which point is one of an infinite number of solutions for the inequality
y > (x + 2)2 - 4? |
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A. |
(2, 12) |
B. |
(-1, 5) |
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C. |
(3, 4) |
D. |
(1, 5) |
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Hint |
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4. |
State the degree of the polynomial function f(x) = x4 - 2x2 + 3x - 1. |
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A. |
3 |
B. |
2 |
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C. |
4 |
D. |
5 |
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Hint |
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5. |
How many direction changes are there in the graph of a quartic function? |
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A. |
1 |
B. |
3 |
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C. |
2 |
D. |
0 |
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Hint |
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6. |
If f = 9 and d = 13, find the measure of  . |
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A. |
about 34.7° |
B. |
about 43.8° |
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C. |
about 46.2° |
D. |
about 55.3° |
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Hint |
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7. |
What is the distance from the origin to the graph of 3x + 4y + 12 = 0? |
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A. |
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B. |
5 |
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C. |
12 |
D. |
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Hint |
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8. |
Which pair of vectors is perpendicular? |
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A. |
 ,  |
B. |
 ,  |
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C. |
 ,  |
D. |
 ,  |
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Hint |
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9. |
Write the equation of the parabola whose vertex is at (-6, 2) and whose focus is at (4, 2). |
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A. |
(x - 2)2 = 40(y + 6) |
B. |
(x - 2)2 = -40(y + 6) |
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C. |
(y - 2)2 = 40(x - 4) |
D. |
(y - 2)2 = 40(x + 6) |
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Hint |
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10. |
y = 2x is a(n)_____. |
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A. |
linear function |
B. |
power function |
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C. |
exponential function |
D. |
polynomial function |
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Hint |
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11. |
For the graph of y = bx, the domain is _____. |
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A. |
all real numbers > 0 |
B. |
all real numbers |
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C. |
all real numbers  |
D. |
all real numbers  |
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Hint |
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12. |
Find n for a series for which a1 = 9, d = 4.5, and Sn = 40.5. |
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A. |
4 |
B. |
5 |
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C. |
6 |
D. |
3 |
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Hint |
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13. |
Find the first two iterates of the function f(z) = z + 3, if the initial value is 1 + i. |
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A. |
4 + i, 7 + i |
B. |
4i, 7i |
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C. |
4 + i, 10 + i |
D. |
7 + i, 10 + i |
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Hint |
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14. |
Which of the following describes the system of equations x - 3y + 2 = 0 and
2x - 6y + 4 = 0? |
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A. |
none of these |
B. |
Consistent and dependent |
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C. |
Inconsistent |
D. |
Consistent and independent |
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Hint |
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15. |
A quadrilateral with vertices A(-2,-3), B(-4,2), C(-2,4) and D(0,2) is translated 5 units to the right and 3 units down. What are the new coordinates? |
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A. |
A(3,-6), B(1,-1), C(3,7), D(5,5) |
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B. |
A(-5,2), B(-7, 7), C(-5, 9), D(-3, 7) |
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C. |
A(3,-6), B(1,-1), C(3,1), D(5,-1) |
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D. |
A(3,0), B(-1,5), C(3,7), D(5,5) |
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Hint |
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16. |
Two vectors  and  are perpendicular if ________. |
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A. |
their inner product is v1w1 +v2w2 |
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B. |
their dot product is equal to their cross product |
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C. |
their inner product equals zero |
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D. |
their cross product equals zero |
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Hint |
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17. |
Which of the following matrices represents a dilation by a scale factor of 2? |
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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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18. |
Identify the graph of
3x2 + 3y2 - 3xy +5x - 3y + 7 = 0. |
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A. |
ellipse |
B. |
circle |
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C. |
hyperbola |
D. |
parabola |
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Hint |
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19. |
Identify the graph of the equation
x2 - 8xy + 6y2 + 4 y + 5 = 0. |
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A. |
circle |
B. |
ellipse |
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C. |
parabola |
D. |
hyperbola |
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Hint |
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20. |
Use the first three terms of the trigonometric series and a calculator to approximate the value of  to four decimal places. |
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A. |
0.8453 |
B. |
0.8663 |
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C. |
1.2491 |
D. |
0.866 |
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Hint |
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