1. How can you convert a variable situation into an equation?

2. In this lesson you will learn to convert a real world situation into an equation.

3. Let’s Review A variable is a letter or symbol that represents an unknown number. x = Lisa’s pencils y = total pens and pencils Lisa has Δ = bags of chips

4. Core Lesson Your class is going on a trip to the state fair. The trip costs $52. Included in that price is $11 for a concert ticket and the cost of 2 passes, one for the rides and one for the games. Each of the passes cost the same price. Write an equation representing the cost of the trip.

5. To write an equation: 1. Identify the variables & the constant 2. Identify the relationship among the variables and the constant 3. Use these relationships to build an equation

6. Your class is going on a trip to the state fair. The trip costs $52. Included in that price is $11 for a concert ticket and the cost of 2 passes, one for the rides and one for the games. Each of the passes cost the same price. What don’t we know? The cost of each pass! Let x = cost of each pass What do we know? The price of concert ticket! The constant is 11.

7. Your class is going on a trip to the state fair. The trip costs $52. Included in that price is $11 for a concert ticket and the cost of 2 passes, one for the rides and one for the games. Each of the passes cost the same price. 2x + 11 = 52 Relationship between variable & constant: Combine them to equal the cost of the trip!

8. In this lesson you have learned to convert a real world situation into an equation.

9. Guided Practice Amy has $26 to spend on school supplies. After buying a notebook for $3.50 and 8 pens of equal cost, she had $16.18 left. Write an equation representing the money Amy spent.

10. Extension Activities Given a word problem, create the equation then create a new word problem that could be represented by the same equation.

11. Given a word problem and equation, prove the representations are equivalent.

12. Quick Quiz David purchased three shirts that cost an equal price as well as a hat for $15. If he spent $47.50 shopping, write an equation that represents the situation. Tiffany withdrew three equal amounts then deposited $13 during the week. At the end of the week her bank account had $56.70. Write an equation to represent Tiffany’s bank account.