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Review Test

Review Test

Review Test

Review Test

1.

3 + x = ?    

2.

= ?    

3. The reduced row echelon form of

is    

4. Which of the following is the multiplicative inverse of

?    

5. Which of the following is a solution to

   

6. Which of the following is equal to x, if

   

7. How many different values of (x, y, z) satisfy the following system of equations?

   

8. Which of the following is a graph of 3x - y≥3?
Figure %: 3x - y≥3

9. Which of the following graphs represents the solution to the system of inequalities

   

Figure %: System of inequalities

10. Factor 15x2 - x - 6.

11. Factor 8x3 - y3.

12. Factor 2x3 +5x2 - 18x - 45.

13. How many real roots does f (x) = 4x2 - 8x - 16 have?

14. + - = ?

15. × = ?

16. ÷ = ?

17. What is the solution set of + = ?

18. y is a function of x in all the following relations EXCEPT:

19. What is the domain of f (x) = ?

20. What is the range of f (x) = x2 - 4 ?

21. If f (x) = 2x + 1 and g(x) = x2 - 6x, what is 3f (x) + 2g(x) ?

22. If f (x) = 2x - 4 and g(x) = 5x + 3, what is fg(x) ?

23. If f (x) = 3x - 7 and g(x) = x2 - 1, what is gof (x) ?

24. What is the inverse of f (x) = + 5 ?

25. If g(x) is shifted up 3 units and right 4 units from f (x), what is g(x) ?

26. If g(x) is stretched horizontally by a factor of 2 and shifted down 3 units from f (x), what is g(x)?

27. If g(x) is a reflection of f (x) = x3 + x2 - 4 over the y-axis, what is g(x)?

28. Which of the following graph is symmetric with respect to the origin?
Figure %: Graphs

29. Name all the vertical asymptotes and holes in the graph of f (x) = ?

30. Which equation could describe the following graph?
Figure %: Graph

31. If 7 athletes are running a race, in how many different ways can they finish in first place, second place, and third place?

32. Which of the following is equivalent to C(15, 10) ?

33. A function is defined recursively by

   


What is f (4) ?

34. What are the next two number in the sequence 1, 1, 2, 3, 5, 8, 13, __, __ ?

35. What is ()- ?

36. If = 1 - 2x, what are all the possible values of x?

37. Which equation could describe the following graph?
Figure %: Graph

38. log3 = ?

39. Simplify 3 log2x + 2 log2(x - 2) - log2(x - 3).

40. Solve for x: log2(x2 -1) - log2(x + 1) = 3.

41. Solve for x: 6x36x-1 = 216.

42. If $700 is put into a bank account with an interest rate of 5%, compounded yearly, how much money is in the account after 6 years?

43. Simplify .

44. (2 - 3i)(5 + 7i) = ?

45. (4 + 3i)÷(5 + 3i) = ?

46. Which of the following is a factor of x4 -22x2 + 31x - 28 ?

47. What is the remainder when P(x) = 2x5 -2x4 -6x3 +12x2 + 4x + 16 is divided by x + 2 ?

48. Factor completely: 2x4 +11x3 +10x2 - 11x - 12.

49. If 2 - i is a zero of P(x) = x3 -3x2 + x + 5, factor P(x) completely.

50. (x - 5y)4 = ?