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Solving equations with bags – NOTES and CLASSWORK
In this lesson you will draw a balance with bags and marbles in order to solve equations.
Example 1
Find the value for n. 
This equation can be modeled using bags and marbles.

Using the model, we can see that each bag contains 3 marbles. So, n = 3.
We can verify this by substituting 3 for n in the equation. 
Example 2
Sometimes a balance puzzle can be used to solve a problem situation represented by an equation. Even if the problem situation has nothing to do with bags or marbles!
Jenny was filling bottles from a tank of water. When she had filled two bottles with water, 7 liters of water remained in the tank. Then she returned all the water back into the tank. When she had filled four bottles with water 1 liter of water was left in the tank. 
Model this problem with bags and marbles. Then solve.
So,
Solving equations with bags  HOMEWORK
Solve the following equations by imagining a balance puzzle. You donÕt have to draw a balance if you donÕt want to. Check each solution by substituting it into the equation.
1. 4s + 5 = 13 + 2s  2. 2a + 3 = a + 10 
3. 4y + 6 = 13 + 3y  4. 2h + 9 = 4h + 5 
5. 3a + 15 = 7a + 3  6. 4b + 12 = 9b + 2 
Represent each of the following situations with an equation. Solve the equation by imagining a balance puzzle. Finally, check your solution by substituting it into the equation.
7. Maya said, ÒI am thinking of a number. If I multiply my number by 6 and add 5, I get the same result as when I multiply it by 3 and add 17.Ó What is MayaÕs number 
8. David has three envelopes labeled ÒxÓ and an additional $15. Roxanne has four envelopes labeled ÒxÓ and an additional $9. How much money must be in each envelope for them to have the same amount of money 
Question 1 QUESTION 1 GOES HERE

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Question 2 QUESTION 2 GOES HERE

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Question 3 QUESTION 3 GOES HERE

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