Form an opinion. Be able to defend your opinion with evidence. Bell Ringer 3-5 Do in your notebook (5 min) P. 373 Guided Practice #3 The Theatre Club is selling shirts. They have only enough supplies to print 120 shirts. They will sell sweatshirts for $22 and T-shirts for $15, with a goal of at least $2,000 in values. (Define your variables, write a system of inequalities, then solve by graphing. A calculator will be definitely be needed). Form an opinion. Be able to defend your opinion with evidence. When finished, take out your notes and your project packet. Example 3

"If a team is to reach its potential, each player must be willing to subordinate his personal goals to the good of the team." ~ Bud Wilkinson Turn and Talk to a peer about this quote and its relevancy to your own work. What does this mean to you? Each team must have at least one representative to respond.

The strength of the team is each individual member The strength of the team is each individual member. The strength of each member is the team.” (only 6th) ~ Phil Jackson Turn and Talk to a peer about this quote and its relevancy to your own work. What does this mean to you? Each team must have at least one representative to respond.

Due today: Launch and Brainstorm (Choose a Point Person) Save the Date 1st Exchange Email and Numbers Due today: Launch and Brainstorm (Choose a Point Person) Launch: Bullets 1 – 3 Assign a member to oversee 5 roles. Discuss and turn in ideas for each. Write your role(s) and responsibilities in your notebook. (1) Venue - Choose a location for at least 50 people - Real location (2) Catering – Choose a caterer to provide a 4 course meal - Real location (3) Decorations and Favors – A gift should be provided at each place setting. Have a picture and provide a vivid description. Each person should compare costs and minimum purchase amounts. If you are assigned to find a venue and do the catering, members should - Research local companies online and contact businesses to get their fees.

"Coming together is a beginning. Keeping together is progress "Coming together is a beginning. Keeping together is progress. Working together is success. " ~ Henry Ford Due Wednesday March 12 Task 1: #1 on the Fundraising Guidelines Research and describe the cause for the charity and theme. Task 2 – (4th person) Members should research careers as an event planner, including a job description and qualifications (Include this in your project).

Write on the same paper as yesterday. "Teamwork divides the task and multiplies the success. " ~ Unknown All students in each group should research and understand the terms costs, revenues and profits. Tell what will be included in each for your project. (Include in your project) (5) Also, find and choose an organization that you will donate proceeds to. (Choose a member to oversee) Write on the same paper as yesterday.

Brainstorm: Today, think about a theme for the fundraising dinner Brainstorm: Today, think about a theme for the fundraising dinner. Come to a decision as a group so that the details can be based around a theme. (Grab a handout)

You solved systems of equations by graphing. Solve systems of equations by using substitution. Solve real-world problems involving systems of equations by using substitution. Then/Now

3 METHODS TO SOLVE A SYSTEM OF EQUATIONS BY GRAPHING (Lesson 6-1) √ BY SUBSTITUTION (Lesson 6-2) BY ELIMINATION – a. with Addition and Subtraction (Lesson 6-3) b. with Multiplication (Lesson 6-4)

Use substitution to solve the system of equations. 1. What is the solution to the system of equations y = 2x + 1 and y = –x – 2? 5-Minute Check 4

2. Adult tickets to a play cost $5 and student tickets cost $4 2. Adult tickets to a play cost $5 and student tickets cost $4. On Saturday, the adults that paid accounted for seven more than twice the number of students that paid. The income from ticket sales was $455. How many students paid? 5-Minute Check 6

Do Packet 5 - 7

Do Packet 5 - 7

Use substitution to solve the system of equations. 4x + 5y = 11 Solve and then Substitute Use substitution to solve the system of equations. 4x + 5y = 11 y – 3x = -13 Step 1 Solve the first equation for y since the coefficient is -1. Example 2

Use substitution to solve the system of equations Use substitution to solve the system of equations. 3x – y = –12 –4x + 2y = 20 Example 2

Do Packet 17, 18

Solve the second equation for y. x + y = –2 Second equation No Solution or Infinitely Many Solutions Use substitution to solve the system of equations. 2x + 2y = 8 x + y = –2 Solve the second equation for y. x + y = –2 Second equation x + y – x = –2 – x Subtract x from each side. y = –2 – x Simplify. Substitute –2 – x for y in the first equation. 2x + 2y = 8 First equation 2x + 2(–2 – x) = 8 y = –2 – x Example 3

2x – 4 – 2x = 8 Distributive Property No Solution or Infinitely Many Solutions 2x – 4 – 2x = 8 Distributive Property –4 = 8 Simplify. Answer: no solution The statement –4 = 8 is false. This means that there are no solutions of the system of equations. If a system results in a false sentence such as -4 = 8, then the system has no solution. The equations represent parallel lines. Example 3

Use substitution to solve the system of equations Use substitution to solve the system of equations. 3x + y = -5 6x + 2y = 10 If a system results in a true sentence, then the system has infinitely many solutions. This happens when 2 equations are the same line. Example 1

So, the two equations are x + y = 50 and 35.25x + 6.25y = 660.50. Write and Solve a System of Equations NATURE CENTER A nature center charges $35.25 for a yearly membership and $6.25 for a single admission. Last week it sold a combined total of 50 yearly memberships and single admissions for $660.50. How many memberships and how many single admissions were sold? Let x = the number of yearly memberships, and let y = the number of single admissions. So, the two equations are x + y = 50 and 35.25x + 6.25y = 660.50. Example 4

Step 1 Solve the first equation for x. x + y = 50 First equation Write and Solve a System of Equations Step 1 Solve the first equation for x. x + y = 50 First equation x + y – y = 50 – y Subtract y from each side. x = 50 – y Simplify. Step 2 Substitute 50 – y for x in the second equation. 35.25x + 6.25y = 660.50 Second equation 35.25(50 – y) + 6.25y = 660.50 Substitute 50 – y for x. Example 4

1762.50 – 35.25y + 6.25y = 660.50 Distributive Property Write and Solve a System of Equations 1762.50 – 35.25y + 6.25y = 660.50 Distributive Property 1762.50 – 29y = 660.50 Combine like terms. –29y = –1102 Subtract 1762.50 from each side. y = 38 Divide each side by –29. Example 4

Step 3 Substitute 38 for y in either equation to find x. Write and Solve a System of Equations Step 3 Substitute 38 for y in either equation to find x. x + y = 50 First equation x + 38 = 50 Substitute 38 for y. x = 12 Subtract 38 from each side. Answer: The nature center sold 12 yearly memberships and 38 single admissions. Example 4