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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? . Answer.

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Halloween warm up l.jpg
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

    24 -18 = 6 cookies left over, but on Thursday he needs to eat 7 cookies to continue his pattern.



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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

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

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

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

  • -7y + 3 = -25

  • 3t – 13 = 2

  • x = 3

  • t = -4

  • m = -4

  • w = -3

  • y = 4

  • t = 5


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Homework

  • Complete Lesson 4-4 # 2-24 evens


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