Opener 1. How many 1 3 cupfulls would it take to fill a 6-cup container? 2. How many 3 4 cupfulls would it take to fill a 6-cup container? 3. How many 2 5 are contained in 6? 4. 3 5 · 1 6 = 5. −3 4 · 4 −3 = 6. 3 −8 · = 1

Opener - Answers 1. How many 1 3 cupfulls would it take to fill a 6-cup container? 1 3 𝑐=6 3• 1 3 𝑐 = 6 • 3 𝑐= 18 2. How many 3 4 cupfulls would it take to fill a 6-cup container? 3 4 𝑐 = 6 4 3 • 3 4 𝑐 = 6 • 4 3 c= 24 3 = 8 3. How many 2 5 are contained in 6? 2 5 𝑐 = 6 5 2 • 2 5 𝑐 = 6 • 5 2 c= 30 2 = 15 4. 3 5 · 1 6 = 3 30 = 1 10 5. −3 4 · 4 −3 = −12 −12 =1 6. 3 −8 · = 1 3 −8 𝑥 = 1 −8 3 • 3 −8 𝑥 =1• −8 3 𝑥= −8 3

Solving more complicated equations Chapter 8.3…Day 1 Solving more complicated equations

Page 404 Read for me please… 1.a.) The recipe for the cake calls for 2 3 of a cup of cocoa powder. The recipe for icing requires 3 4 of a cup of sugar. Aunt Heather told the cousins that she has exactly 4 cups of cocoa powder. How many cakes can they make with the amount of cocoa powder they have? 4 = 𝟐 𝟑 𝐱 4( 𝟑 𝟐 ) = ( 𝟐 𝟑 𝐱) ( 𝟑 𝟐 ) 𝟏𝟐 𝟐 = 6 = x They can make 6 cakes with 4 cups of cocoa.

More on page 404 1.b.) How much sugar will they need to ice all the cakes? Write and solve an equation. y = 𝟑 𝟒 (𝟔) They will need 4 𝟏 𝟐 cups of sugar to ice the cakes. y = 𝟏𝟖 𝟒 y = 𝟗 𝟐 y = 4 𝟏 𝟐

Page 404 (bottom) Read for me please…  Page 405 2.) Consider the equation 26 = 2 3 x. What number would you multiply 2 3 by to get 1? Multiply 𝟐 𝟑 by 𝟑 𝟐 to get 1. Read the box for me please… Substitute 39 for the x into the original equation 3.) Verify that 39 is the solution. 26 = 𝟐 𝟑 (𝟑𝟗) 26 = 𝟕𝟖 𝟑 Skip #4 26 = 26

Page 406 Read for me please…  5.a.) 42 = 3 5 x + 12 42 – 12 = 𝟑 𝟓 x + 12 – 12 30 = 𝟑 𝟓 x Work on b and d (skip c) in your groups…3 minutes. 30( 𝟓 𝟑 ) = 𝟑 𝟓 x ( 𝟓 𝟑 ) 𝟏𝟓𝟎 𝟑 = x 50 = x

Page 408 Read for me please…  Write an equation to represent the cost of purchasing a ticket without a membership. Let x represent the number of movie tickets and y represent the total cost of the movie tickets. y = 9.25x 2. Use the equation you wrote in Question 1 to determine the cost of purchasing the specified number of tickets shown in a year y = 9.25x It will cost $55.50 to purchase 6 tickets for the year y = 9.25(6) y = 55.50 Work on b and d (skip c) in your groups…3 minutes.

Still on page 409 3. Write an equation to represent the cost of purchasing a ticket with a discount membership. Let x represent the number of movie tickets and y represent the total cost of the movie tickets. y = 5.75x + 40 4. Use the equation to determine the cost of purchasing the specified number of tickets shown in a year. a. 6 tickets y = 5.75(6) + 40 It will cost $74.50 to purchase 6 tickets for the year y = 34.50 + 40 Work in your groups on 4.c (skip b & d), #5, 6, 7 & 8…5 minutes y = 74.50

Homework AB page 149-150

Opener Solve the equations 1. 2 5 w + 6 = 16 2. 9x + 4 = 7x + 48 3. 3(5y + 4) = 9y 4. 5x + 10 = 3x - 4

Opener – Answers p.1 Solve the equations 1. 2 5 w + 6 = 16 2. 9x + 4 = 7x + 48 - 6 - 6 - 4 - 4 2 5 w = 10 9x = 7x + 44 5 2 • 2 5 w=10• 5 2 -7x -7x + 44 w = 50 2 = 25 2x = 44 2𝑥 2 = 44 2 x = 22

Opener – Answers p.2 Solve the equations 3. 3(5y + 4) = 9y 4. 5x + 10 = 3x – 4 15y + 12 = 9y -3x -3x -15y -15y 2x + 10 = - 4 12 = - 6y - 10 - 10 12 −6 = −6𝑦 −6 2x = -14 - 2 = y 2𝑥 2 = −14 2 x = -7

Chapter 8.3…Day 2! Page 412 #1…read for me please…  1a. Moon Bounce Rental(hours) Walkin’ On the Moon (dollars) Moo-na Luna (dollars) 55h + 100 65h + 75 55(1) + 100 = 155 65(1) + 75 = 140 Finish a (table) and b in your groups…5 minutes c. Write an equation that represents the cost for the two companies being equal 55h + 100 = 65h + 75

Page 413 Read for me please… 2. Describe the steps that you will use to solve this equation. Explain your reasoning. First subtract 55h from both sides of the equal sign. Next subtract 75 from both sides of the equal sign. By doing this I will get all the terms with variables on the right side of the equation and all the constant terms on the left side of the equation Work in your groups on #3, 4 &5…3 minutes

Page 414 Read for me please…  Work on #2b and #3-6 in your groups…10 minutes Nic has $15 to spend. 1. Write an equation to determine how much money Nic will have after playing Dinosaur Tag. Let x represent the number of games and let y represent the amount of money remaining. y = 15 – 0.75x 2. Use your equation to determine how much money Nic has remaining after: a. 4 games y = 15 – 0.75(4) y = 15-3 y = 12 Nic will have $12 after playing 4 games.

Page 416 Read for me please… Now Check your answer: 5x = 3x + 18 5x – 3x = 3x – 3x +18 2x = 18 2x ÷ 2 = 18 ÷ 2 x = 9 5x = 3x + 18 5(9) = 3(9) + 18 45 = 27 + 18 45 = 45 Work on # 3 and 5 (skip #2, 4 & 6) in your large groups…5 minutes

Homework AB page 151-152 #2 all parts