1. Chapter 3 Linear Equations and Inequalities
Sect. 3.1 Solving Linear Equations Part I

2. The Addition and Subtraction Properties of Equality
Ex. 1 Solve and check x - 8 = 3

3. Multiplication and Division Properties of Equality
Ex. 2 Solve and check 4k = -24

4. Solve Equations of the Form ax + b = c
Ex. 3 Solve 4/7 a - 5 = 1

5. Combine Like Terms on One Side of the Equal Sign and Solve
Ex. 4 Solve 4x x + 2 = 17

6. Sect. 3.2 Solving Linear Equations Part II

7. How to Solve a Linear Equation

8. Example of Solving a Linear Equation

9. Example of Solving continued

10. Solve Equations Containing Fractions or Decimals
Ex. 3

11. Fractional Equation Continued
Ex. 4

12. Solving Equations that have No Solution or an Infinite Number of Solutions
Ex. 5
Ex. 6

13. Outcomes When Solving Linear Equations

14. Solving Applied Problems

15. Example of Applied Problem
Ex. 7 Six more than a number is nineteen. Find the number.

16. More examples of Applied problems

17. Sect. 3.3 Applications of Linear Equations to General Problems, Consecutive Integers, and Fixed and Variable Cost

18. Applied Problem continued

19. Solve Problems Involving Different Lengths
Ex. 2
Solve Problems Involving Different Lengths

20. Length Problem continued

21. Consecutive Integer Problems
To define the unknowns for consecutive integers, let
Ex. 3

22. Consecutive Even and Consecutive Odd Integers

23. Consecutive Odd Problem continued

24. Solve Problems Involving Fixd and Variable Costs
Ex. 5

25. Another Problem Using Fixed and Variable Costs

26. Problem Involving Fixed and Variable Costs continued

27. Applications of Linear Equations to Percent Increase/Decrease and Investment Problems
Ex. 1

28. Problems Involving Percent Change
Ex. 2 The sale price of a CD is after a 20% discount. What was the original price of the CD?

29. Problems Involving Simple Interest
Ex. 3

30. Another Simple Interest Problem
Ex. 4

31. Another Simple Interest Problem
Ex. 5

32. Simple Interest Problem continued
Neema invested $4000 at 5% interest.

33. Sect. 3.5 Geometry Applications and Solving Formulas for a Specific Variable
Ex. 1

34. Geometry example continued

35. Solve Problems Involving Angle Measures
Ex. 2

36. Solve Problems Involving Complementary and Supplementary Angles
Ex. 3

37. Angle example continued

38. Solve an Equation for a Specific Variable
Ex. 4

39. Example of Solving for Specific Variable cont.

40. More examples of solving for a Specific Variable

41. More examples of solving for a Specific Variable

42. Sect. 3.6 Applications of Linear Equations to Proportion, d = rt, and Mixture Problems

43. Solve a Proportion
Ex. 1
Ex. 2

44. Solve Problems Involving a Proportion
Ex. 3
Solve Problems Involving a Proportion

45. Similar Triangles

46. Problem Involving Similar Triangles
Ex. 4

47. Problems Involving Money

48. Another Problem Involving Money

49. Mixture Problems
Ex. 7

50. Mixture Problems continued
Ex. 8

51. Mixture Problems continued
30 - x =10 so 20 L of the 4% solution and 10 L of the 10% solution.

52. Rate, Time and Distance Problems
The formula used in rate, time and distance problems is: distance = rate x time
Ex. 9

53. Rate, Time and Distance Problems
So 3.5 hours is the time Jenny has traveled and t - .5 = 3 hr = Alexandra’s time.

54. Sect. 3.7 Linear Inequalities in One Variable

55. Example of Linear Inequality
Ex. 1 Graph the inequality x < -1 and express the solution in set notation and interval notation.

56. Solving Linear Inequalities

57. Example of Solving a Linear Inequality

58. Solve Linear Inequalities Using Multiplication Property

59. Example of Solving Using Multiplication Property
Ex, 3 Solve -5w < 20 Graph the solution set and write the answer in interval and set notations.

60. Another example of Solving Inequalities

61. Solve Compound Inequalities with 3 Parts
Ex. 5

62. Inequalities with Fractions

63. Another Example of a Compound Inequality

64. Applications Involving Linear Inequalities
Ex. 8

65. Inequality Problem continued

66. Section 3.8 Compound Inequalities
Union and Intersection of Sets
Ex. 1

67. Solve Compound Inequalities Containing “And”
Ex. 2

68. Compound Inequality Problem continued

69. Steps for Solving a Compound Inequality

70. Example of Compound Inequality

71. Example of Compound Inequality continued

72. Compound Inequalities Containing the word “or”
Ex. 4
Compound Inequalities Containing the word “or”

73. Compound Inequalities that have No Solution or that have Solution Sets of All Real Numbers

74. Solve Special Compound Inequalities (cont.)