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Published byClaire Ball Modified over 4 years ago

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Halloween Warm-Up Paul has two dozen Halloween cookies. He will eat three cookies on Sunday. On every day that follows, he will eat a number of cookies that is one greater than the day before. On what day will he find that he doesn’t have enough cookies to follow this procedure?

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**Answer Thursday Sun -3 Mon- 4 Tues- 5 Wed -6 18 cookies eaten**

= 6 cookies left over, but on Thursday he needs to eat 7 cookies to continue his pattern.

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**Solving Two- Step Equations**

Lesson 4-4

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Rules to Remember When solving an equation, the goal is to get the variable by itself. Addition and Subtraction are inverse operations. (opposites) Multiplication and Division are inverse operations. (opposites)

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Don’t Forget The equation is like a balance scale. Whatever you do to one side of the equation must be done to the other side of the equation.

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**How to solve two-step equations**

“Undo” the operations in the reverse order of the order of operations. You are using the work back-words strategy In order of operations we do multiplication or division first, then addition and subtraction. When solving an equation we do the opposite!

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**Integer Rules to Remember**

Adding Integers Same sign= add and keep the sign Different sign = subtract and keep the sign of the larger number Subtracting Integers Keep, Change, Change Follow the rules for addition Multiplying and Dividing Integers Same Sign = Positive Answer Different Sign = Negative Answer

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**Let’s Try One… 3x + 2 = 23 - 2 -2 21 3x = 21 3 3 x = 7**

21 3x = 21 x = 7 The problem contains addition and multiplication. Which one do we undo 1st?

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**Another Example -2y – 7 = 3 +7 +7 10 -2y = 10 -2 -2 y = -5**

10 -2y = 10 y = -5 The problem contains subtraction and multiplication. Which one do we undo 1st?

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**Last Example -3c + 9 = 3 -9 -9 -6 -3c = -6 -3 -3 c = 2**

-6 -3c = -6 c = 2 The problem contains addition and multiplication. Which one do we undo 1st?

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**Now it’s your turn 5x + 4 = 19 2t + 7 = -1 6m + 1 = -23 -4w – 4 = 8**

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Homework Complete Lesson 4-4 # 2-24 evens

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