1. Agenda for the Week Wednesday and Thursday: Create and Solve Equations
Friday: Review
Monday- Quiz

2. Objective for the Day
Solve equations

3. 2 variable terms on the SAME SIDE:
Combine like terms
2 variable terms on OPPOSITE SIDES:
“Get rid” of one of them: add or subtract the x’s on both sides the same way you do with regular numbers

4. If you keep struggling with these…
I am always going to go back to the picture. The pictures really help explain why you solve these the way you do!

5. Whiteboards
𝑥 5 +2=22 x = 100
Early finishers: Check your answer! How do I that?

6. Whiteboards
3x + 2x = 45 x = 9
Early finishers: Check your answer! How do I that?

7. Whiteboards
4x = 2x + 18 x = 9
Early finishers: Check your answer!

8. -3x + 16 = x + 20 x = -1 Whiteboards
Early finishers: Check your answer!

10. Whiteboards
2x x + 8 = 24 x = 1
Early finishers: Check your answer!

11. 5x – 8 = x + 5 x = 13 4 or 3.25 Whiteboards
Early finishers: Check your answer!

12. 2x + 7 = 5x + 35 𝑥=− 28 3 𝑜𝑟 −9 1 3 Whiteboards
Early finishers: Check your answer!

13. Equations with Distributive Property

14. 24 = 6(−𝑥 – 3)

15. If −2(3𝑦+5) = −4, find the value of 5y.

16. Solve Two Different Ways
5(𝑥+3)= 25

17. 2 3𝑏−4 =8𝑏 −11
Aniemiec

18. 5 𝑥−1 =2 𝑥−4 −6

19. 2𝑦+3=2 𝑦+7 −(𝑦+7)

20. Equations with Fractions

21. 1 5 6 = 1 3 +𝑝
Change the mixed number to a fraction!

25. Homework: Worksheet!
Just do the front

26. 𝑥−4 2 = 3 𝑣𝑠 𝑥 2 – 4 =3

27. 6 𝑥+2 3 =10𝑥

28. 5(3𝑏−4) 2 =8𝑏−7

29. Write an equation and solve
Five times the sum of a third of a number plus 20 equals 400

30. Perimeter
Millie is planning to use exactly 112 feet of fencing as the border of a rectangular garden. If the width of the garden is 13 of the length of the garden, what is the width of the garden?
Hint: let L be the length of the garden. Draw a picture.

31. Equal Cost
A house painting company charges $376 plus $12 per hour. Another painting company charges $280 plus $15 per hour.
a. How long is a job for which both companies will charge the same amount?
b. What will that cost be?

32. Age Problem
Mary is 16 years older than Dana and Dana is 13 years younger than Chris. if the sum of their ages is 62, find each person’s age.

33. Consecutive Number Problem
Find three consecutive numbers whose sum is 543.

34. Another Word Problem
You and your friend both bought some gum. Your friend spent three times as much as you did. Altogether, you spent $4.80. How much did you each spend on gum?

35. Age Problem
In 16 years, Lilly will be 5 times as old as she is now. How old is Lilly now?

36. Consecutive Numbers
The sum of two consecutive numbers is 87. What are the numbers?

38. If the perimeter of the triangle is 38, find the value of x.

40. 𝐶𝑜𝑜𝑙 𝐷𝑜𝑤𝑛 5 𝑥−20 = 1 2 (4𝑥+4)

41. Error Analysis Problems
Work with table group on Worksheet

42. Work on Exit Ticket!
Once you are done, complete your homework!

43. Consecutive Numbers
The sum of two consecutive numbers is 87. What are the numbers?

44. A water park charges $12 to get into the park and $5 for each drink purchased. How many drinks can you buy if you have $47 before you go to the water park? Write and solve an equation for this problem.

45. Vera is planning to use exactly 112 feet of fencing as the border of a rectangular garden. If the width of the garden is of the length of the garden, what is the width of the garden?
Hint: let 𝑙 be the length of the garden. Draw a picture.

46. In one baseball season, Peter hit twice the difference of the number of homeruns Jordan hit and six. Altogether they hit 18 homeruns. How many homeruns did each player hit this season?