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Comprehensive Review of Final Exam Problems (June 2014)

This document provides a thorough review of various mathematical problems from the June 16, 2014 final exam. It covers a range of topics including evaluating expressions, simplifying equations, finding line equations in different forms, determining slopes, and analyzing systems of inequalities. Each problem encourages critical thinking and problem-solving skills, with answers labeled as correct or incorrect for user engagement. The review aims to help students prepare effectively for their final assessments by reinforcing key mathematical concepts.

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Comprehensive Review of Final Exam Problems (June 2014)

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  1. FINAL EXAM REVIEW June 16, 2014

  2. Problem #1 If x = ¼ and y = –½ , evaluate . None of the above.

  3. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  4. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  5. Problem #2 Simplify: 0 None of the above.

  6. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  7. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  8. Problem #3 Find all values of x that make the statement 48x3 = 12x true. None of the above.

  9. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  10. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  11. Problem #4 The reciprocal of the opposite of 4 is… 4 None of the above.

  12. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  13. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  14. Problem #5 Write the equation in standard form of a line whose x–intercept is 5 and whose y–intercept is –7 . None of the above.

  15. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  16. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  17. Problem #6 Write the equation of a line perpendicular to the y–axis that goes through the point (6, 7). None of the above.

  18. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  19. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  20. Problem #7 Write the equation in standard form that is parallel to the line y = ½x + 7 and goes through the origin. y = ½ x x + 2y = 0 x – 2y = 0 None of the above.

  21. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  22. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  23. Problem #8 Write the equation in slope–intercept form that is perpendicular to the line y = –¼ x –2 and has an x – intercept of 2. y = 4x – 8 y = 4x + 8 4x – y = 8 None of the above.

  24. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  25. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  26. Problem #9 What is the slope of the line 8y = – 3? m = 8 m = 0 m = – 3/8 None of the above.

  27. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  28. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  29. Problem #10 How many solutions does the following system have? one two infinite None of the above.

  30. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  31. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  32. Problem #11 Solve: x =  x =  7 x =  None of the above.

  33. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  34. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  35. Problem #12 Describe the graph of the following system. Same line Perpendicular lines Intersecting lines None of the above.

  36. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  37. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  38. Problem #13 If f(x) = 3x2 – 5 and g(x) = x – 1… find f[g(x)]. None of the above.

  39. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  40. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  41. Problem #14 What kinds of lines would you use to graph the following system of inequalities? Two dotted lines. One dotted line and one solid line. Two solid lines. None of the above.

  42. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  43. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  44. Problem #15 Describe the graph of the following system: Consistent/Dependent Inconsistent Consistent/Independent None of the above.

  45. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  46. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  47. Problem #16 State the slope and the vertex of the absolute value function m = ½ vertex = (3, –7) m = ½ vertex = (–7, 3) m = ½ vertex = (–3, –7) None of the above.

  48. CORRECT!CLICK ON THE ARROW TO GO TO THE NEXT PROBLEM

  49. INCORRECT!CLICK ON THE ARROW TO GO BACK TO THE PROBLEM

  50. Problem #17 Solve: None of the above.

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