# Final Exam Review for Math 0098

Solve the compound inequality and graph the solution set.

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

32. 9x - 6 < 3x or -2x ≤ -6

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:

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