1. Algebra II 2002

2. 1. What is the sum of the polynomials 12345 1.A 2.B 3.C 4.D

3. 2. Which of the following equations is an example of the commutative property? 12345 1.F 2.G 3.H 4.J

4. 3. For which of the following operations is the commutative property not valid? 12345 1.Multiplication of real numbers 2.Multiplication of complex numbers 3.Multiplication of matrices 4.Multiplication of negative real numbers

5. 4. Which expression is equivalent to 12345 1.F 2.G 3.H 4.J

6. 5. Which expression is equivalent to 12345 1.A 2.B 3.C 4.D

7. 6. Which is equivalent to 12345 1.F 2.G 3.H 4.J

8. 7. Which is a factored form of 8x 3 + 1? 12345 1.A 2.B 3.C 4.D

9. 8. Which is a factor of 16x 2 – 1? 12345 1.F 2.G 3.H 4.J

10. 9. Which is equivalent to (4-3i) 2 ? 12345 1.25 2.25 – 2i 3.7 4.7 – 24i

11. 10. What number does i 4 equal? 12345 1.i 2.-1 3.-i 4.1

12. 11. Which best represents the graph of y = x 2 – 2x + 3? 12345 1.A 2.B 3.C 4.D

13. 12. Which most likely represents the equation of the graph? 12345 1.F 2.G 3.H 4.J

14. 13. The graph below is an example of which typed of function? 12345 1.Absolute value 2.Exponential 3.Linear 4.Quadratic

15. 14. If f(x) = 5s 2 – 7, what is f(-3)? 12345 1.-52 2.-22 3.38 4.45

16. 15. Which value is not a zero of P(x) = x 3 + 3x 2 –x -3? 12345 1.1 2.-1 3.3 4.-3

17. 16. Which graph could represent a polynomial function with no real zeros? 12345 1.F 2.G 3.H 4.J

18. 17. The amount of interest (I) owed on a loan varies directly with the length of time (t) of the loan. If K is the constant of proportionality, which formula represents this relationship? 12345 1.A 2.B 3.C 4.D

19. 18. Boyle’s Law states that, for a fixed amount of gas, the volume of the gas at a constant temperature is inversely proportional to the pressure. If a certain gas occupies 9.84 liters at a pressure of 50 centimeters of mercury (cm Hg), what is the approximate pressure when the volume is increased to 12 liters? 12345 1.39.8 cm Hg 2.41.0 cm Hg 3.43.2 cm Hg 4.45.1 cm Hg

20. 19. Which of the following sets represents an arithmetic sequence? 12345 1.{2,11, 20, 29, 38,…} 2.{1, 3, 9, 27, 81,…} 3.{3, -5, 7, -9, 11…} 4.{1,16,36, 64, 100,…}

21. 20. If a n = 6 + (n-1)5, then a 7 = 12345 1.31 2.36 3.40 4.42

22. 21. Given: Which of the following expressions represents g(f(x))? 12345 1.A 2.B 3.C 4.D

23. 22. Which of the following represents the solution to lxl = 7? 12345 1.X =7 2.X =0 3.X =-7 4.X=-7 or x = 7

24. 23. What is the solution to 12345 1.x = ½ 2.x = 8/5 3. x = 2 4. x= 8

25. 24. Which inequality describes the solution set graphed? 12345 1.F 2.G 3.H 4.J

26. 25. What are the solutions to y 2 – 4y + 4 = 36? 12345 1.Y = -4 or y = 8 2.Y = 4 or y = 8i 3.Y = +4 4.Y = + 4i

27. 26. What is the solution set for (x +1) 2 – 9 = 0 12345 1.{ -4,2} 2.{-3,-1} 3.{2,4} 4.{-1,3}

28. 27. Which quadratic equation has solutions x = ½ and x = 2/3? 12345 1.6x 2 - 7x - 2 =0 2.6x 2 + 7x + 2 =0 3.6x 2 + 7x - 2 =0 4.6x 2 -7x + 2 =0

29. 28. What is the solution set for 5x 2 + 4x =1? 12345 1.F 2.G 3.H 4.J

30. 29. What is the solution set for 12345 1.{21} 2.{25} 3.{29} 4.{33}

31. 30. What value of q is the solution to the equation 12345 1.F 2.G 3.H 4.J

32. 31. What is the solution to 12345 1.A 2.B 3.C 4.D

33. 32. The polynomial function shown apparently has zeros at___ 12345 1.-1 and 2 2.-1, 0.7, and 3 3.-2 4.1,-0.7, and -3

34. 33. Which of the following functions has x- intercepts at -2 and 1? 12345 1.Y = x 2 - x - 2 2.Y =x 2 + x - 2 3.Y =x 2 - 2x +1 4.Y=2x-1

35. 34. Which is the factored form of f(x)? 12345 1.F 2.G 3.H 4.J

36. 35. Which equation is most likely represented by the ellipse shown? 12345 1.A 2.B 3.C 4.D

37. 36. When graphed, which of the following equations would produce a parabola? 12345 1.F 2.G 3.H 4.J

38. 37. Which graph best represents (x-2) 2 + (y-3) 2 =4? 12345 1.A 2.B 3.C 4.D

39. 38. Which matrix is the product of B. A? 12345 1.F 2.G 3.H 4.J

40. 39 Which matrix is the multiplicative inverse of 12345 1.A 2.B 3.C 4.D

41. 40. Given the system of equations, =? 12345 1.F 2.G 3.H 4.J

42. 41. Which matrix equation represents the given system of linear equations? 12345 1.A 2.B 3.C 4.D

43. 42. The graph of the linear programming model consists of polygon ABCD and its interior. Under these constraints, which is the point where the maximum value of 4x + 3y occurs? 12345 1.A 2.B 3.C 4.D

44. 43. Which set of constraints produced the shaded feasible region? 12345 1.A 2.B 3.C 4.D

45. 44. This is a portion of the graph of a system of equations. Which is most likely the solution set for the system? 12345 1.F 2.G 3.H 4.J

46. 45. Which is the solution set for the system of equations? 12345 1.A 2.B 3.C 4.D

47. 46. Which of the following scatterplots shows a negative correlation? 12345 1.F 2.G 3.H 4.J

48. 47. The Social Security (FICA) wage base, y, (in thousands of dollars) from 1983 to 1988 is given by the equation y = 1.9x + 34.1, where x is the number of years since 1983. What was the FICA wage base in 1995? 12345 1.$53,100 2.$48,200 3.$56,900 4.$58,800

49. 48. A clothing manufacturer is funding a study to determine the amount spent annually on clothes, given a family’s income. This table contains data tracking the clothing purchases for seven families. Assuming a linear relationship, approximately how much would you expect a family with an annual income of $33,000 to spend a clothes? 12345 1.4,400 2.4,600 3.4,800 4.5,000

50. 49. Consider this scatter plot. Which equation represents the line closest to the curve of best fit? 12345 1.A 2.B 3.C 4.D

51. 50. Which is closest to the value of the slope of the line of best fit of the data in this scatterplot ? 12345 1.-3 2.-1 3.-1/3 4.1