# MATH 1033 Review Questions for the Final Exam

 Parallel and Perpendicular Lines Section 3.2

40. Find the slope of a line parallel to the given line:   m = _______

41. Find the slope of a line perpendicular to the given line: m = _______

42. Give the slope of a line
a) parallel to the line m = _______
b) perpendicular to the line m = _______

in questions 43 – 44 determine whether each pair of lines is parallel, perpendicular or neither.

_______ 43. a) parallel  b) perpendicular  c) neither

_______ 44. a) parallel  b) perpendicular  c) neither

________ 45. Determine which pair of lines is perpendicular.

 Graphing Lines Using a Point and the Slope Section 3.3

46. Graph the line passing through the
point  (2,1) with slope equal to  .

47. Graph the line passing through the
point (0,0) with slope equal to 3.

In questions 48 – 49 match the graph with the correct equation in slope - intercept form .

________ 48.

________ 49.

50. Graph each linear equation using the slope and y-intercept.

a) Graph

b) Graph

 Using the Point-Slope Formula to Find the Equation of a Line Section 3.4

________ 51. Find the equation of the line with slope = –2 that passes through the point
(–5, 3). Write your answer in slope-intercept form.

52. Find the equation of the line that passes through the point (–9, 4) and has a slope
of . Write your answer in standard form (Ax + By = C).

53. Find the equation of the line that passes through the points (4, –11) and (–2,1). Write your answer in standard form.

54. Write an equation of the line containing the point (2, –4) and parallel to the line . Write your answer in slope-intercept form.

55. Write an equation of the line containing the point (2, –4) and perpendicular to the line . Write your answer in standard form.

 Graphing Linear Inequalities Section 3.5

In questions 56 – 57 graph each inequality.

56.

57.

 Functions Section 3.6

58. Determine whether each of the fol lowing relations is a function.
Circle the correct answer.

______ 59. Given . Find

a) –9
b) 15
c) –15
d) –22

60. If , find

 Solving Systems Sections 4.1 and 4.3

61. Solve the system:

62. Solve the system:

63. The larger of two numbers is 1 more than the smaller . If the sum of the larger and twice the smaller is 7, find the two numbers.

64. A chemist is preparing 15 liters of a 25% saline solution. She has two other saline solutions available with strengths 40% and 10%. Find the amount of 40% solution and the amount of 10% solution she should mix to get 15 liters of a 25% solution.

 Graphing Systems of Linear Inequalities Section 4.5

In questions 65 – 66 graph the solutions of each system of linear inequalities.

_____ 67. Match the inequality with the correct graph.

 Ope rations with Polynomials Sections 5.1 – 5.3

_____ 68. Add :

_____ 69. Subtract :

_____ 70. Multiply :

_____ 71. Multiply:

_____ 72. Multiply:

_____ 73. Multiply:

_____ 74. Multiply:

_____ 75. Divide

76. Divide using long division.

77. Divide using long division.

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