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Halloween WarmUp

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When solving an equation, the goal is to get the variable by itself. ... The equation is like a balance scale. ... How to solve two-step equations ' ... – PowerPoint PPT presentation

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Title: Halloween WarmUp


1
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 doesnt have enough cookies to
    follow this procedure?

2
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.

3
Solving Two- Step Equations
  • Lesson 4-4

4
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)

5
Dont 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.

6
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!

7
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

8
Lets 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?
9
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?
10
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?
11
Now its 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

12
Homework
  • Complete Lesson 4-4 2-24 evens
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