MAC 1105

1. MAC 1105 Test 1 Review and Practice Solutions

2. MAC 1105 Test 1 Review 1.4 – 1.8 • You will need to have your own graphing calculator for the test. • You may not share calculators or use any type of communication device in place of a calculator. • Tests cannot be made up for any reason other than an NWFSC event for which you must miss class. • If you miss one test, your final exam score will be substituted. A second missed test is a zero.

3. There are twenty objectives on the exam. • Keep in mind that test questions will be in a random order and not in the order that appears below.

7. To study for the test: • Complete the first ALEKS objective (HW 1: 1.4 – 1.8). In order to receive the bonus, your HW 1 percentage must be greater than or equal to 80% (without rounding). • Complete the practice test and check your solutions. • Set up a study system (note cards for example) for each of the 20 objectives in the chart above. • Review your notes and worksheets for each of the 20 objectives in the chart above. • Work the suggested text problems for each of the 20 objectives in the chart above. • It is always possible that some questions may not be exactly like those on the practice test (objectives will remain unchanged). Some of these questions may ask you to analyze or synthesize what we’ve learned but if you prepare by studying your notes and your worksheets (as well as this review), you will be ready to complete those questions as well.

8. Practice Test Solutions

9. 1) Identify the type of equation and solve the equation by choosing an appropriate method.

10. 2) Identify the type of equation and solve the equation by choosing an appropriate method.

11. 3) Indicate the constant that is needed to complete the square. a) b)

12. 4) Identify the type of equation and solve the equation by choosing an appropriate method.

13. 5) Use the discriminant of the quadratic equation to determine the number and type of solutions of the equation.

14. 6) A rectangular garden has a length 6 more than three times the width. If the area of the garden is 144 square feet, find the length and width.

15. 7) The height of a ball after t seconds when thrown straight up is given by the function When will the height of the ball be 40 feet? • You can solve this on the graphing calculator or by using the quadratic formula. On the graphing calculator: • Place the function in Y1 • Place 40 in Y2 • Graph the function using a window that is large enough to see the curve and the two intersections. [0,10] for x and [0, 200] for y works well. • Use 2ndcalc 5 twice to find both points of intersection. The x coordinates are the two times.

16. 7) (Quadratic Formula)

17. 8) Identify the type of equation and solve the equation by choosing an appropriate method. Please round your answer to the nearest thousandth. Sketch the graph (from your calculator).

18. Graph

19. 9) Identify the type of equation and solve the equation by choosing an appropriate method.

20. 10) Identify the type of equation and solve the equation by choosing an appropriate method.

22. You could also solve by substitution.

23. 11) Identify the type of equation and solve the equation by choosing an appropriate method.

24. 12) Write the inequality notation for each interval. You do not have to graph the inequality. a) b) c) d)

25. 13) Write the interval notation for each inequality. You do not have to graph the interval. a) b) c) d)

26. 14) Solve the following inequality. Write your answer in interval notation.

27. 15) Solve the following inequality. Write your answer in interval notation.

28. 16) Solve the following inequality. Write your answer in interval notation.

29. 17) Identify the type of equation and solve the equation by choosing an appropriate method.

30. 18) Identify the type of equation and solve the equation by choosing an appropriate method.

31. 19) Solve the following inequality. Graph the solution on the number line and write your answer in interval notation.

32. 20) Solve the following inequality. Graph the solution on the number line and write your answer in interval notation.

33. Additional Practice

34. 1) Identify the type of equation and solve the equation by choosing an appropriate method.

35. 1) Identify the type of equation and solve the equation by choosing an appropriate method.

36. 2) Identify the type of equation and solve the equation by choosing an appropriate method.

37. 2) Identify the type of equation and solve the equation by choosing an appropriate method.

38. 3) Indicate the constant that is needed to complete the square. a) b)

39. 3) Indicate the constant that is needed to complete the square. a) b)

40. 4) Identify the type of equation and solve the equation by choosing an appropriate method.

41. 4) Identify the type of equation and solve the equation by choosing an appropriate method.

42. 5) Use the discriminant of the quadratic equation to determine the number and type of solutions.

43. 5)

44. 6) A rectangular table istwice as long as itiswide. The area is 800 What are the dimensions of the table ?

45. 6) A rectangular table istwice as long as itiswide. The area is 800 What are the dimensions of the table ?

46. 7) The height of a ball after t seconds when thrown straight up is given by the function When will the ball reach a height of 70 feet?

47. 7) On the graphing calculator

48. 7) Quadratic Formula

49. 8) Identify the type of equation and solve the equation by choosing an appropriate method. Please round your answer to the nearest thousandth. Sketch the graph (from your calculator).

50. 8) Identify the type of equation and solve the equation by choosing an appropriate method. Please round your answer to the nearest thousandth. Sketch the graph (from your calculator).