1. 5 Minute Check Simplify each expression. Complete in your notes. 1. (4x + 8) + (7x + 3) 2. (-3x + 7) + (-6x + 9) 3. (x – 10) + (3x – 6) 4. (-3x – 7) + (4x + 7)

2. 5 Minute Check Simplify each expression. Complete in your notes. 1. (4x + 8) + (7x + 3)

3. 5 Minute Check Simplify each expression. Complete in your notes. 1. (4x + 8) + (7x + 3) 4x + 8 + 7x + 3 11x + 11

4. 5 Minute Check Simplify each expression. Complete in your notes. 2. (-3x + 7) + (-6x + 9)

5. 5 Minute Check Simplify each expression. Complete in your notes. 2. (-3x + 7) + (-6x + 9) -3x + 7 -6x + 9 -9x + 16

6. 5 Minute Check Simplify each expression. Complete in your notes. 3. (x – 10) + (3x – 6)

7. 5 Minute Check Simplify each expression. Complete in your notes. 3. (x – 10) + (3x – 6) x – 10 + 3x – 6 4x - 16

8. 5 Minute Check Simplify each expression. Complete in your notes. 4. (-3x – 7) + (4x + 7)

9. 5 Minute Check Simplify each expression. Complete in your notes. 4. (-3x – 7) + (4x + 7) -3x – 7 + 4x + 7 x

10. Mid-Chapter Quiz Review Describe the relationship between the terms in the sequence. Then write the next three terms. 34, 38, 42, 46,…….

11. Mid-Chapter Quiz Review Describe the relationship between the terms in the sequence. Then write the next three terms. 34, 38, 42, 46,……. Add 4; 50,54,58

12. Mid-Chapter Quiz Review Describe the relationship between the terms in the sequence. Then write the next three terms. 5.6, 5.9, 6.2, 6.5,………

13. Mid-Chapter Quiz Review Describe the relationship between the terms in the sequence. Then write the next three terms. 5.6, 5.9, 6.2, 6.5,……… Add.3; 6.8, 7.1, 7.4

14. Mid-Chapter Quiz Review Name the property shown in the statement. 45 + (5 + 3) = (45 + 5 ) + 3

15. Mid-Chapter Quiz Review Name the property shown in the statement. 45 + (5 + 3) = (45 + 5 ) + 3 Associative Property

16. Mid-Chapter Quiz Review Name the property shown in the statement. 45 + (3 + 5) = (45 + 5 ) + 3

17. Mid-Chapter Quiz Review Name the property shown in the statement. 45 + (3 + 5) = (45 + 5 ) + 3 Commutative Property

18. Mid-Chapter Quiz Review Name the property shown in the statement. 4(3 + 5) = 12 + 20

19. Mid-Chapter Quiz Review Name the property shown in the statement. 4(3 + 5) = 12 + 20 Distributive Property

20. Mid-Chapter Quiz Review Evaluate if x = 5, y = 2, z = -4 y + z

21. Mid-Chapter Quiz Review Evaluate if x = 5, y = 2, z = -4 y + z 2 +(-4) -2

22. Mid-Chapter Quiz Review Evaluate if x = 5, y = 2, z = -4 yz + x + 3y

23. Mid-Chapter Quiz Review Evaluate if x = 5, y = 2, z = -4 yz + x + 3y 2 · (-4) + 5 + 3 · 2 -8 + 5 + 6 -3 + 6 3

24. Mid-Chapter Quiz Review Evaluate. 3(x + 6)

25. Mid-Chapter Quiz Review Evaluate. 3(x + 6) 3x + 18

26. Mid-Chapter Quiz Review Evaluate. 4(2w - 3)

27. Mid-Chapter Quiz Review Evaluate. 4(2w - 3) 8w - 12

28. Mid-Chapter Quiz Review Evaluate. -5(2 – 3t)

29. Mid-Chapter Quiz Review Evaluate. -5(2 – 3t) -10 + 15t

30. Mid-Chapter Quiz Review Everything off your desk.

31. Friday, May 15 Lesson 7.5.7 Subtract Linear Expressions

32. Objective: To subtract linear expressions.

33. Subtract Linear Expressions A linear expression is an algebraic expression in which the variable is raised to the first power.

34. Subtract Linear Expressions A linear expression is an algebraic expression in which the variable is raised to the first power. These are called linear because when graphed, it makes a straight line. Expressions with powers greater than 1, make a curved line.

35. Subtract Linear Expressions Non-linear graphs y = x²

36. Subtract Linear Expressions Non-linear graphs y = x³

37. Subtract Linear Expressions Simplify. (7x – 4) - (2x – 6) To Simplify Linear Expressions Step 1 – Multiply the sign outside the first parenthesis by both terms inside.

38. Subtract Linear Expressions Simplify. (7x – 4) - (2x – 6) 7x - 4 To Simplify Linear Expressions Step 1 – Multiply the sign outside the first parenthesis by both terms inside.

39. Subtract Linear Expressions Simplify. (7x – 4) - (2x – 6) 7x - 4 To Simplify Linear Expressions Step 2 – Multiply the sign outside the second parenthesis by both terms inside.

40. Subtract Linear Expressions Simplify. (7x – 4) - (2x – 6) 7x – 4 - 2x + 6 To Simplify Linear Expressions Step 2 – Multiply the sign outside the second parenthesis by both terms inside.

41. Subtract Linear Expressions Simplify. (7x – 4) - (2x – 6) 7x – 4 - 2x + 6 To Simplify Linear Expressions Step 3 – Combine like terms.

42. Subtract Linear Expressions Simplify. (7x – 4) - (2x – 6) 7x – 4 -2x + 6 5x + 2 To Simplify Linear Expressions Step 3 – Combine like terms.

43. Subtract Linear Expressions Simplify. (7x – 4) - (2x – 6) 7x – 4 - 2x + 6 Terms with x: 7x, -2x = 5 Constants: -4, 6 = 2 5x + 2 We can prove this by substituting a number in for x in both expressions.

44. Subtract Linear Expressions What if x = 4? (7x – 4) - (2x – 6) = 5x + 2

45. Subtract Linear Expressions What if x = 4? (7x – 4) - (2x – 6) = 5x + 2 (7· 4 – 4) - (2 · 4 – 6) = 5 · 4 + 2 (28 – 4) – (8 – 6) = 20 + 2 24 – 2 = 22 22 = 22

46. Subtract Linear Expressions Simplify. (2x – 1) - (x – 5) Step 1 - ?

47. Subtract Linear Expressions Simplify. (2x – 1) - (x – 5) 2x - 1 Step 2 - ?

48. Subtract Linear Expressions Simplify. (2x – 1) - (x – 5) 2x – 1 – x + 5 Step 3 - ?

49. Subtract Linear Expressions Simplify. (2x – 1) - (x – 5) 2x – 1 – x + 5 x + 4

50. Subtract Linear Expressions Simplify. (3x – 5) - (2x – 3) Do this on your own.

51. Subtract Linear Expressions Simplify. (3x – 5) - (2x – 3) 3x – 5 – 2x + 3 x - 2 Terms with x: 3x, -2x = 1 Constants: -5, +3 = -2

52. Subtract Linear Expressions Simplify. (2x + 5) - (4x + 1) Do this on your own.

53. Subtract Linear Expressions Simplify. (2x + 5) - (4x + 1) 2x + 5 - 4x - 1 -2x + 4 Terms with x: 2x, -4x = -2 Constants: 5, -1 = 4

54. Subtract Linear Expressions Simplify. (6x + 5) - (3x + 1)

55. Subtract Linear Expressions Simplify. (6x + 5) - (3x + 1) 6x + 5 - 3x - 1 3x + 4 Terms with x: 6x, -3x = 3 Constants: 5, -1 = 4

56. Subtract Linear Expressions Simplify. (-4x - 7) - (-5x - 2)

57. Subtract Linear Expressions Simplify. (-4x - 7) - (-5x - 2) -4x - 7 + 5x + 2 x - 5 Terms with x: -4x, 5x = 1 Constants: -7, 2 = -5

58. Subtract Linear Expressions Simplify. (4x - 3) - (2x + 7)

59. Subtract Linear Expressions Simplify. (4x - 3) - (2x + 7) 4x - 3 - 2x - 7 2x - 10 Terms with x: 4x, -2x = 2 Constants: -3, -7 = -10

60. Subtract Linear Expressions Simplify. (5x - 4) - (2x + 3)

61. Subtract Linear Expressions Simplify. (5x - 4) - (2x + 3) 5x - 4 - 2x - 3 3x - 7 Terms with x: 5x, -2x = 3 Constants: -4, -3 = -7

62. Subtract Linear Expressions A hat store tracks the sale of college and professional team hats for m months. The number of college hats sold is represented by (6m + 3). The number of professional hats sold is represented by (5m -2) Write an expression to show how many more college hats were sold than professional hats. Then evaluate when m is 10.

63. Subtract Linear Expressions A hat store tracks the sale of college and professional team hats for m months. The number of college hats sold is represented by (6m + 3). The number of professional hats sold is represented by (5m -2) Write an expression to show how many more college hats were sold than professional hats. Then evaluate when m is 10. (6m + 3) - (5m - 2) 6m + 3 - 5m + 2 Terms with m: 6m, -5m = 1 Constants: 3, 2 = 5 m + 5; m = 10, then 10 + 5 = 15

64. Subtract Linear Expressions Agenda Notes Homework – Homework Practice 7.5.7 due by the end of the period. Circle all answers and show all work Chapter 7.5 Test -Wednesday, May 20