** Solve the compound inequality and graph the solution set.**

31. -6x > -24 and x + 6 > 5

32.
9x - 6 < 3x or -2x ≤ -6

33. Solve algebraically and write your answer in interval notation:

34. Solve the equation algebraically :

(A) 6 and -8

(B) 6 only

(C) -8 only

(D) 6 and -14

(E) None of these

35. Solve algebraically :

36. Solve algebraically:

(E) All real numbers are solutions

37. Determine the x and y- intercepts of the line whose equation is -3x -y = -12

(A) x-intercept: (4 , 0)

y-intercept: (0 , 12)

(B) x-intercept: (-4,0)

y-intercept: (0 , -12)

(C) x-intercept: (0, 4)

y-intercept: (12, 0)

(D) x-intercept: (0, -4)

y-intercept: (-12 , 0)

(E) None of these

38. Determine the slope of the line 2x – 3y = 3.

(A) 3

(B) -2

(C) -1

(D) 2/3

(E) None of these

39. Calculate the slope from the graph.

(A) 3/2

(B) -3/2

(C) 2/3

(D) -2/3

(E) None of these

40. Determine slope of the line containing points (-2 , 5) and (8 , -3)

(A) -5/4

(B) 5/4

(C) -4/5

(D) 4/5

(E) None of these

41. Find the equation of the line using function notation. Through the point (2,
-6) and parallel to 6x + 3y = 5

(A) f(x) = -2x -6

(B) f(x) = -2x -2

(C) f(x) = 2x + 3/5

(E) None of these

42 Find the equation of the line that through (-2, 3) perpendicular to the line
x = 4.

43. Find the equation of the line whose slope is 2/5 and which
contains the point (10, -4).

(E) None of these

44. Find the equation of the line which contains the
points (2, 3) and (-3, -2).

(E) None of these

45. When factored completely , **one** of the factors of
is

46. When factored completely, **one** of the factors of
is

47. When factored completely,** one** of the factors of
is

48. When factored completely,** one** of the factors of
is

49. When factored completely,** one** of the factors of

50. When factored completely,** one** of the factors of
is

51. Solve the equaton:

52. Simplify the rational expression:

53. Perform the multiplication andsimplofy :

54. Perform the division and simplify :

55. Perform the division and simplify :

56. Divide. Use long
division.

57. Divide. ; Use long
division.

58. Graph the inequality : 3x - 2y ≤ 2

(E) None of these

59. Graph the inequality : 4x + y > 5

(E) None of these

60. Graph the intersection of:

**ANSWERS FOR FINAL
EXAM REVIEW**