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Inverse Operations

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**How do we undo an operation?**

If I owe Brandie $1 then how can I get rid of my debt? What math operation would you use to do that?

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**How do we undo an operation?**

If I have 8 slugs. How do I get rid of them? What math operation would you use to do that?

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**If each student in the class gave Ms**

If each student in the class gave Ms. Spangler 2 pencils (5x2) so she has 10 pencils total. How do I give back, or distributed, evenly those pencils? What math operation would you use?

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Inverse operations Definition: an inverse operation is any mathematical operation (+, -, x, ÷) that undoes another operation. ADDITION is the Inverse Operation of SUBTRACTION SUBTRACTION is the Inverse Operation of ADDITION MULTIPLICATION is the Inverse Operation of DIVISION DIVISION is the Inverse Operation of MULTIPLICATION

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NAME THAT OPPOSITE! IT’s OK to yell out!! +

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NAME THAT OPPOSITE! IT’s OK to yell out!! -

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NAME THAT OPPOSITE! IT’s OK to yell out!! x

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NAME THAT OPPOSITE! IT’s OK to yell out!! ÷

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NAME THAT OPPOSITE! IT’s OK to yell out!! x

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NAME THAT OPPOSITE! IT’s OK to yell out!! -

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NAME THAT OPPOSITE! IT’s OK to yell out!! ÷

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NAME THAT OPPOSITE! IT’s OK to yell out!! +

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**So lets undo some operations**

+12 -12 =0

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**So lets undo some operations**

-6 +6 =0

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**So lets undo some operations**

x6 ÷6 =1

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**Remember when we add or subtract 0 from an equation it doesn’t change the equation.**

5 + 0 = 5 14 - 0 Remember when we multiply

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**So lets undo some operations**

+4

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**So lets undo some operations**

4÷__

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**So lets undo some operations**

-4

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**Learning to Balance Equations**

Online Problem Algeblocks Draw problems out.

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**Math Steps Steps: Draw Line down Equal sign**

Find the number on the same side as the variable How is the number connected to the variable (+, -, /, x) Do the inverse to BOTH SIDES Solve!

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**Apply to Algebraic Equations**

15 + x = 25 + So we are going to + or – These are the equations we will solve. x = 10 x = 10

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**Apply to Algebraic Equations**

- 3 + x = 25 + So we are going to + or – These are the equations we will solve. x = 28 x = 28

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**Apply to Algebraic Equations**

𝑥 3 = 2 + So we are going to x or / These are the equations we will solve. x x3 1x = 6 x = 6

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**Apply to Algebraic Equations**

5 - z = 25 + So we are going to x or / These are the equations we will solve. 0 - z = 20 - z = 5 x(-1) x(-1) z = -5

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**Name:______________________ Date:______________________ TEST**

g = 1 -4= d – 4 5+𝑢=−10 12 = 3x a = -20 𝑠 3 =−5

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P + 7 = -4 d – 6 = -6 5−𝑢=−10 4x = 16 -2 + a = -1 𝑠 5 =−10

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Lesson 8.1. » A statement where two mathematical expressions are. » Think of an equation as a balance scale or teeter-totter. The left side must always.

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