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