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

Objective for the Day Solve equations

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

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!

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

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

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

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

Whiteboards 2x + 9 + 5x + 8 = 24 x = 1 Early finishers: Check your answer!

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

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

Equations with Distributive Property

24 = 6(−𝑥 – 3)

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

Solve Two Different Ways 5(𝑥+3)= 25

2 3𝑏−4 =8𝑏 −11 Aniemiec

5 𝑥−1 =2 𝑥−4 −6

2𝑦+3=2 𝑦+7 −(𝑦+7)

Equations with Fractions

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

Homework: Worksheet! Just do the front

𝑥−4 2 = 3 𝑣𝑠 𝑥 2 – 4 =3

6 𝑥+2 3 =10𝑥

5(3𝑏−4) 2 =8𝑏−7

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

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.

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?

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.

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

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?

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

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

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

𝐶𝑜𝑜𝑙 𝐷𝑜𝑤𝑛 5 𝑥−20 = 1 2 (4𝑥+4)

Error Analysis Problems Work with table group on Worksheet

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

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

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.

Vera is planning to use exactly 112 feet of fencing as the border of a rectangular garden. If the width of the garden is 1 3 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.

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?