1. 5 Minute Check Complete in your notes. The school cafeteria sells lunch passes that allow a student to purchase any number of lunches in advance for $3 per lunch. 1. Write an equation to find t, the total cost in dollars for a lunch pass for n lunches. 2. Make a table to show the relationship between the number of lunches n and the cost t. 3. Graph the ordered pairs.

2. 5 Minute Check Complete in your notes. The school cafeteria sells lunch passes that allow a student to purchase any number of lunches in advance for $3 per lunch. t = 3n

13. Monday, Dec 1 Lesson 6.8.5 and 6.8.6 Inequalities

14. Objective: To solve inequalities using mental math and to write and graph inequalities.

15. Inequalities An inequality is a mathematical sentence that compares quantities. You will need your number line for today’s lesson.

16. Inequalities This symbol means what? >

17. Inequalities This symbol means what? > means greater than This symbol means what? <

18. Inequalities This symbol means what? > means greater than This symbol means what? < means less than

19. Inequalities This symbol means what? >

20. Inequalities This symbol means what? > means equal to or greater than

21. Inequalities This symbol means what? > means equal to or greater than This symbol means what? <

22. Inequalities This symbol means what? > means equal to or greater than This symbol means what? < means equal to or less than

23. Inequalities Of the numbers 6, 7, or 8, which is the solution for the inequality f + 2 < 9? To solve this, substitute 6,7, and 8 for the variable f to make a true statement.

24. Inequalities Of the numbers 6, 7, or 8, which is the solution for the inequality f + 2 < 9? To solve this, substitute 6,7, and 8 for the variable f to make a true statement. 6 + 2 < 9; 6 is the only solution.

25. Inequalities Of the numbers 8, 9, or 10, which is the solution for the inequality n -3 > 6? Do this on your own.

26. Inequalities Of the numbers 8, 9, or 10, which is the solution for the inequality n -3 > 6? 10 – 3 > 6 7 > 6 10 is the only solution.

27. Inequalities Is the given value a solution for the inequality? x + 3 > 9; x = 4 Do this on your own.

28. Inequalities Is the given value a solution for the inequality? x + 3 > 9; x = 4 4 + 3 > 9 7 > 9 4 is not a solution.

29. Inequalities Is the given value a solution for the inequality? 12 < 18 - y; y = 6 Do this on your own.

30. Inequalities Is the given value a solution for the inequality? 12 < 18 - y; y = 6 12 < 18 - 6 12 < 12 6 is a solution.

31. Inequalities Lulsa works at a gift shop. She receives a bonus if she makes more than 20 balloon bouquets in a month. Which months did she receive a bonus? Use the inequality b > 20, where b represents the number of balloon bouquets made each month. Do this on your own.

32. Inequalities Lulsa works at a gift shop. She receives a bonus if she makes more than 20 balloon bouquets in a month. Which months did she receive a bonus? Use the inequality b > 20, where b represents the number of balloon bouquets made each month. The only months greater than 20 are July and August.

33. Inequalities If a bakery sells more than 45 bagels in a day, they make a profit. Use the inequality b > 45, to determine which days the bakery makes a profit. Do this on your own.

34. Inequalities If a bakery sells more than 45 bagels in a day, they make a profit. Use the inequality b > 45, to determine which days the bakery makes a profit. Friday and Saturday

35. Inequalities The table shows the number of different types of roller coasters in the U.S. An amusement park wants to build a new coaster. They will only build a coaster if there are less than 10 of that type in the U.S. Use the inequality r < 10 to determine which types can be built. Do this on your own.

36. Inequalities The table shows the number of different types of roller coasters in the U.S. An amusement park wants to build a new coaster. They will only build a coaster if there are less than 10 of that type in the U.S. Use the inequality r < 10 to determine which types can be built. Flying, Stand up and Suspended.

37. Inequalities Write an inequality for the sentence below. A number less than 5.

38. Inequalities Write an inequality for the sentence below. A number less than 5. A < 5 (Any number that is to the left of 5 on the number line, is less than 5) We can also graph this on a number line.

39. Inequalities Write an inequality for the sentence below. A number less than 5. A < 5 Any point on the blue line is a solution to the inequality.

40. Inequalities Write an inequality for the sentence below. A number less than 5. A < 5 Anytime an inequality with is graphed, an open dot is used. Write this down

41. Inequalities Write and graph an inequality for the sentence below. A number greater than -8.

42. Inequalities Write and graph an inequality for the sentence below. A number greater than -8. A > -8 Any number that is to the right of -8 on the number line, is greater than -8.

43. Inequalities Write and graph an inequality for the sentence below. A number greater than -8. A > -8 Notice the inequality sign faces the same direction as the arrow on the graph.

44. Inequalities Write and graph an inequality for the sentence below. You must be over 12 years old to ride the go- karts. Do this on your own.

45. Inequalities Write and graph an inequality for the sentence below. You must be over 12 years old to ride the go- karts. a > 12; your age = a

46. Inequalities Write and graph an inequality for the sentence below. A pony is less than 14.2 hands tall. Do this on your own.

47. Inequalities Write an inequality for the sentence below. A pony is less than 14.2 hands tall. p < 14.2 ; p = the height of the pony in hands

48. Inequalities Write and graph an inequality for the sentence below. You must be at least 16 years old to have a driver’s license. Do this on your own.

49. Inequalities Write and graph an inequality for the sentence below. You must be at least 16 years old to have a driver’s license. a > 16; a = your age

50. Inequalities A closed dot means the number is included in the graph. Anytime an inequality with is graphed, an closed dot is used. Write this down

51. Inequalities Write and graph an inequality for the sentence below. You must be older than13 years old to play in the basketball league. Do this on your own.

52. Inequalities Write and graph an inequality for the sentence below. You must be older than13 years old to play in the basketball league. a > 13; a = your age

53. Inequalities Write and graph an inequality for the sentence below. To use one stamp, your domestic letter must weigh under 3.5 ounces. Do this on your own.

54. Inequalities Write and graph an inequality for the sentence below. To use one stamp, your domestic letter must weigh under 3.5 ounces. m < 3.5; m = weight in ounces

55. Inequalities Traffic on a residential street can travel at no more than 20 miles per hour. Write and graph an inequality to describe the possible speeds on the street. Do this on your own.

56. Inequalities Traffic on a residential street can travel at no more than 20 miles per hour. Write and graph an inequality to describe the possible speeds on the street. s < 20; s = speed

57. Inequalities Traffic on a residential street can travel at no more than 20 State three numbers that are solutions to the inequality x + 1 < 5.

58. Inequalities Traffic on a residential street can travel at no more than 20 State three numbers that are solutions to the inequality x + 1 < 5. Sample answers: 0, 1, and 2

59. Inequalities Traffic on a residential street can travel at no more than 20 If x = 2, is the following inequality true or false?

60. Inequalities Traffic on a residential street can travel at no more than 20 If x = 2, is the following inequality true or false? True

61. Inequalities Traffic on a residential street can travel at no more than 20 If a > b and b > c, what is true about the relationship between a and c? Explain.

62. Inequalities Traffic on a residential street can travel at no more than 20 If a > b and b > c, what is true about the relationship between a and c? Explain. a > c ; if a is greater than b and b is greater than c, then all values for a must be greater than all values for c

63. Inequalities Traffic on a residential street can travel at no more than 20 Mel is writing an inequality for the expression at least 10 hours of community service. Find her mistake and correct it.

64. Inequalities Traffic on a residential street can travel at no more than 20 Mel is writing an inequality for the expression at least 10 hours of community service. Find her mistake and correct it. She used the incorrect symbol. It should be c > 10

65. Inequalities Agenda Notes Homework – Homework Practice 6.8.5 Due by the end of class Homework Practice 6.8.6 Due Tuesday, Dec 2 Chapter 6.8 Test - Thursday, Dec 4 Accum Rev 8 – Due Thursday, Dec 4