1. Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. BELLWORK – DAY #1 Solve. 1. n + 9 = 17 2. 6x = 42 3. 71 – z = 55 4. n = 8 x = 7 z = 16 = 9 y = 72 y8y8

3. 2-6 Solving Two-Step Equations BELLWORK – DAY #2 1. 0 = w + 4 2. n – 9 = -14 3. -3b = 36 4. -100 = -4u 5. d/5 = -7 6. c/4 = -20

4. 2-6 Solving Two-Step Equations BELLWORK – DAY #3 4.Brandon follows a 2,800 calorie-per- day diet. He has 11 servings of breads and cereals, which average 140 calories each. Yesterday, he had a combined 9 servings of fruits and vegetables, averaging 60 calories each. How many 180-calorie servings of meat and milk did he have to complete his diet?

5. 2-6 Solving Two-Step Equations BELLWORK – DAY #4 1.Last week, Carlie had several rice cakes and 3 granola bars as snacks. The snacks contained a total of 800 calories. If each granola bar had 120 calories and each rice cake had 40 calories, how many rice cakes did she have? 2.Erika is following a 2,200 calorie-per-day diet. She eats the recommended 9 servings of breads and cereals, averaging 120 calories per serving. She also eats 5 servings of vegetables. If the rest of her daily intake is 870 calories, what is the average number of calories in each serving of vegetables?

6. 2-6 Solving Two-Step Equations MA.7.A.3.3 We will solve two-step linear equations. MA.7.A.3.4 Sunshine State Standards Learning Goal

7. When you solve equations that have one operation, you use an inverse operation to isolate the variable. n + 7 = 15 – 7 –7 n = 8 2x + 3 = 23 – 3 2x = 20 Use the inverse of mulitplication to isolate x. You can also use inverse operations to solve equations that have more than one operation.

8. Solve. Check each answer. Additional Example 1A: Solving Two-Step Equations Using Division 9c + 3 = 39 – 3 –3 9c = 36 c = 4 Subtract 3 from both sides. Divide both sides by 9. 9c99c9 = 36 9

9. Check. Additional Example 1A Continued 9c + 3 = 39 9(4) + 3 39 ?=?= ?=?= ?=?= 36 + 3 39 39 Substitute 4 for c. 4 is a solution.

10. Reverse the order of operations when solving equations that have more than one operation. Helpful Hint

11. Additional Example 1B: Solving Two-Step Equations Using Division –34 = –4m – 6 + 6 +6 –28 = –4m Add 6 to both sides. Solve. Check the answer. 7 = m Divide both sides by –4. –28 –4 = –4m –4

12. Additional Example 1B Continued –4m – 6 = –34 –4(7) – 6 –34 ?=?= ?=?= ?=?= –28 – 6 –34 –34 Substitute 7 for m. 7 is a solution. Check.

13. 2-6 Solving Two-Step Equations rubric on solving two step equations 12345 No understanding Little understanding Some understanding Good understanding Complete understanding No comprenderPoca comprension Una Cierta comprension Buena comprension Comprension Completa Pa gen okenn konpreyansyon Ti konpreyansyon Kek konpreyansyon Bon konprannRanpli konpreyansyon

14. 3x + 13 = 37 – 13 –13 3x = 24 x = 8 3x33x3 = 24 3 Check It Out: Example 1A Solve.

15. Check It Out: Example 1B Solve. –33 = –7a – 5 + 5 + 5 –28 = –7a 4 = a –28 –7 = 7a – 7

16. 2-6 Solving Two-Step Equations rubric on solving two step equations 12345 No understanding Little understanding Some understanding Good understanding Complete understanding No comprenderPoca comprension Una Cierta comprension Buena comprension Comprension Completa Pa gen okenn konpreyansyon Ti konpreyansyon Kek konpreyansyon Bon konprannRanpli konpreyansyon

17. Solve. Additional Example 2A: Solving Two-Step Equations Using Multiplication 6 + y5y5 = 21 y5y5 6 + – 6 –6 y5y5 = 15 y5y5 = (5)15(5) ‏ y = 75 Subtract 6 from both sides. Multiply both sides by 5.

18. Solve. Additional Example 2B: Solving Two-Step Equations Using Multiplication z6z6 5 = – 7 z6z6 12 = z6z6 (6)12 =(6) ‏ 72 = z Add 7 to both sides. Multiply both sides by 6. +7 + 7 z6z6 5 = – 7

19. Check It Out: Example 2A Solve. + 45 r 7 = –60 – 45 –45 r7r7 =–105 r7r7 = (7)(–105) (7) ‏ r = –735 + 45 r7r7 = –60

20. 2-6 Solving Two-Step Equations rubric on solving two step equations 12345 No understanding Little understanding Some understanding Good understanding Complete understanding No comprenderPoca comprension Una Cierta comprension Buena comprension Comprension Completa Pa gen okenn konpreyansyon Ti konpreyansyon Kek konpreyansyon Bon konprannRanpli konpreyansyon

21. Check It Out: Example 2B Solve. – 7 p –8 = 12 19 = (–8)19 (–8) ‏ p = –152 – 7 = 12 + 7 + 7 p –8 p –8 = p –8

22. Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00, plus $7.00 each day. Her total cost was $127.00. For how many days did she rent the canoe? Additional Example 3: Consumer Math Application Let d represent the number of days she rented the canoe. 7d + 85 = 127 – 85 –85 7d = 42 7 7 d = 6 Jamie rented the canoe for 6 days. Subtract 85 from both sides. Divide both sides by 7.

23. Check It Out: Example 3 Leo and his five brothers have $40 to spend on movie tickets and popcorn. They pay $25 for the tickets. If popcorn costs $3 per box, can each person have his own box of popcorn? Explain. Let b represent the number of boxes they can afford to buy. 25 + 3b = 40 – 25 3b = 15 3b 3 15 3 = b = 5

24. No. For each person to have his own box, Leo and his brothers must buy 6 boxes (one for Leo and one for each brother). But they have enough for only 5 boxes. Check It Out: Example 3 continued

25. 2-6 Solving Two-Step Equations rubric on solving two step equations 12345 No understanding Little understanding Some understanding Good understanding Complete understanding No comprenderPoca comprension Una Cierta comprension Buena comprension Comprension Completa Pa gen okenn konpreyansyon Ti konpreyansyon Kek konpreyansyon Bon konprannRanpli konpreyansyon

26. Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

27. Lesson Quiz Solve. Check your answers. 1. 6x + 8 = 44 2. 14y – 14 = 28 3. 4. y = 3 x = 6 63 = m v = –112 m7m7 12 = + 3 – 6 = 8 5. Last Sunday, the Humane Society had a 3-hour adoption clinic. During the week the clinic is open for 2 hours on days when volunteers are available. If the Humane Society was open for a total of 9 hours last week, how many weekdays was the clinic open? 3 days v –8

28. 1. Solve 7q + 5 = 68. A. q = 6 B. q = 7 C. q = 8 D. q = 9 Lesson Quiz for Student Response Systems

29. 2. Solve 17h – 10 = 75. A. h = 5 B. h = 7 C. h = 9 D. h = 10 Lesson Quiz for Student Response Systems

30. 3. Solve A. z = 72 B. z = 86 C. z = 90 D. z = 104 Lesson Quiz for Student Response Systems

31. 4. A taxi charges an airport pickup fee of $3 plus $1.50 for each mile traveled. If a taxi ride cost John $36, how many miles did John travel in the taxi? A. 21 miles B. 22 miles C. 31 miles D. 32 miles Lesson Quiz for Student Response Systems