- 1. You place $1,500 in the bank, where it will earn 6% interest compounded quarterly. How much will you have 7 years later? Answer must be correct to the cent, please include a dollar sign ($) before your answer.
- 2. The complex congugate of 9 - i is:
- 3. The complex conjugate of -8 + 3i is:
- 4. What is the sum of 7 + 4i and its conjugate?
- 5. What is the product of 7 - 4i and its conjugate?
- 6. Consider a 5th degree polynomial. Which of these would be impossible for it to have?
A) 3 real roots and 2 complex roots
B) 4 real roots and 1 complex root
C) 1 real root and 4 complex roots
D) One triple root and one double root
A) -81
B) -6561
C) 81
D) 6561
- 8. i to the 12067th power equals...
A) 1
B) i
C) -i
D) -1
- 9. i to the negative 7th power equals...
A) -i
B) i
C) -1
D) 1
- 10. i to the 313986th power equals....
A) 1
B) i
C) -i
D) -1
- 11. What is the maximum number of points of intersection between a cubic and a circle?
A) 6
B) 5
C) 3
D) 4
- 12. Consider y = 7 log4 (x + 11) - 19. What is the locator point?
A) (-11/7, -19)
B) (-11, -19)
C) (-10,-19)
D) (-19,-10)
- 13. Consider y = 7 log4 (x + 11) - 19. What is the domain?
- 14. Consider y = 7 log4 (x + 11) - 19. What is the x-intercept? Express answer in parentheses, as a data point, and round to 2 decimal places.
- 15. A certain 6th degree polynomial has a positive orientation. It has a root at -5, a double root at 1, and a triple root at 7. This polynomial goes through the point (4, -4811). What is the value of a? Round to a single decimal place.
- 16. Solve for x: 2 log9 x = -2x + 9. Round answer to 2 decimal places.
- 17. Please find the roots of y = x2 - 8x + 41. In your answer, use +- to indicate plus or minus.
- 18. (2i2)(3i3)(4i4)(101i101) equals...
- 19. (i + i)(2i + 2i)(3i + 3i)(4i + 4i)(5i + 5i) equals...
- 20. A certain 7th degree polynomial has a triple root at 3 and a quadruple root at 5. What is the orientation?
A) Unable to tell due to asymptotes
B) Negative
C) Positive
D) Could be positive or negative
- 21. (-i) to the 21st power equals...
A) -i
B) 1
C) -1
D) i
- 22. A 9th degree polynomial can have no real roots.
A) True
B) False
- 23. i is totally incredible!
A) True
B) False
- 24. In a geometric sequence, t(0) = 44 and t(1) = 484. Find t(5).
- 25. What is the domain of y = 3log4 (2x - 10) + 63?
A) x E R
B) x > 4
C) x > 5
D) x > 10
E) x > 63
- 26. What was the name of the mathematician who first used the number i?
A) Havarti
B) Bombelli
C) Bombardi
D) Stromboli
E) Ghiradelli
- 27. Which is the only one of the following that has a locator point that is NOT on the graph?
A) Sleeping Parabola
B) Logarithmic Function
C) Hyperbola
D) Cubic
E) Exponential Function
- 28. Which of the following has a domain that is NOT x E R?
A) Sleeping Parabola
B) Exponential Function
C) Cube root Graph
D) Absolute Value Function
E) Polynomial Function
- 29. Determine the locator point of y = -7x2 + 224x (express your answer as a data point, with parentheses)
- 30. One of my favorite things from Algebra 2 this semester was........
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