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Happy Monday 

Happy Monday . Please take out your whiteboard marker Tonight’s HW #1-8 on Friday’s worksheet . Mad Minute. Deconstructing Word Problems . Learning Objective. By the end of the period you will be able to: Define variables and create system of equations based on a real life situation. .

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Happy Monday 

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  1. Happy Monday  • Please take out your whiteboard marker Tonight’s HW • #1-8 on Friday’s worksheet

  2. Mad Minute

  3. Deconstructing Word Problems

  4. Learning Objective By the end of the period you will be able to: • Define variables and create system of equations based on a real life situation.

  5. Today, we are going to be focusing on writing equations based on a word problem. Tomorrow, we will solve these problems.

  6. Whiteboard • What is a variable?

  7. Whiteboard Write an equation: Cell America charges an hourly call rate of $2 plus an initial phone set up fee of $30. Write an equation to show the cost (y) per hour (x).

  8. Whiteboard Write an equation: Martha’s Movie House charges $32 for a membership plus $3 per movie rental. Write an equation to show the total cost (C) of renting movies for (R) rentals.

  9. Whiteboard A hot air balloon at a height of 150 feet descends at a rate of 5 feet per second. • Define your variables • Write an equation

  10. Example 1 Joe bought 15 items for $135. If the 15 items consisted of notebooks that cost $4.50 each and calculators that cost $12.00 each, how many of each did he buy? Step 1: Define the variables Let n = Let c=

  11. Example 1 Joe bought 15 items for $135. If the 15 items consisted of notebooks that cost $4.50 each and calculators that cost $12.00 each, how many of each did he buy? Step 2:Write one equation to show how many of each item were purchased. How many items were bought? ______________ Equation: _______________________

  12. Example 1 Joe bought 15 items for $135. If the 15 items consisted of notebooks that cost $4.50 each and calculators that cost $12.00 each, how many of each did he buy? Step 3: Write an equation for the TOTAL cost of all the items. How much did each cookie cost? __________________ How much did each brownie cost? _________________ How much did Joe spend in total?____________ Equation: _______________________

  13. Step 4: Write both equations.

  14. Example 2 Merna raised $24 by selling 40 baked items for the Builders Club. She sold cookies for 50 cents each and brownies for 75 cents each . How many of each did she sell? Step 1: Define the variables Let c= Let b =

  15. Example 2 Merna raised $24 by selling 40 baked items for the Builders Club. She sold cookies for 50 cents each and brownies for 75 cents each . How many of each did she sell? Step 2:Write one equation to show how many of each item were purchased. How many items were bought? ______________ Equation: _______________________

  16. Example 2 Merna raised $24 by selling 40 baked items for the Builders Club. She sold cookies for 50 cents each and brownies for 75 cents each . How many of each did she sell? Step 3: Write an equation for the TOTAL cost of all the items. How much did each notebook cost? ______________ How much did each calculator cost? ______________ How much did Merna spend in total?_________ Equation: _______________________

  17. Step 4: Write both equations.

  18. Whiteboard A door-to-door salesperson sells dictionaries at $15 and almanacs at $6.50 each. Sales over three days amounted to 36 books sold with total sales amounting to $361.50. How many of each kind of book were sold? 1. Define your variables

  19. Whiteboard A door-to-door salesperson sells dictionaries at $15 and almanacs at $6.50 each. Sales over three days amounted to 36 books sold with total sales amounting to $361.50. How many of each kind of book were sold? 1. Write your two equations

  20. Example 3 The Miller and Benson families went to a theme park. The Millers bought 6 adult and 15 children tickets for $423. The Bensons bought 5 adult and 9 children tickets for $293. Find the cost of each ticket. Work with a partner and try to do Example 3 on your notes

  21. Practice Problems With your partner, you are going to answer the following questions on the back of your notes. You are going to define your variables and write the two equations. Do not worry about solving the problems!

  22. Volunteers?

  23. Take out a half sheet of paper…

  24. Create your own! Write your own school-appropriate word problem that involves two equations. • Define your variables • Write your two equations. I will use one of yours on your next quiz/test

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