1. Inverse Operations

2. 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?

3. 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?

4. 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?

5. 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

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

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

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

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

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

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

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

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

14. So lets undo some operations
+12
-12 =0

15. So lets undo some operations-6 +6 =0

16. So lets undo some operationsx6 ÷6 =1

17. 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

18. So lets undo some operations+4

19. So lets undo some operations
4÷__

20. So lets undo some operations-4

21. Learning to Balance Equations
Online Problem Algeblocks
Draw problems out.

22. 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!

23. Apply to Algebraic Equations
15 + x = 25
+  So we are going to + or –
 These are the equations we
will solve.
x = 10
x = 10

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

25. 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

26. 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

27. Name:______________________ Date:______________________ TEST
g = 1
-4= d – 4
5+𝑢=−10
12 = 3x
a = -20
𝑠 3 =−5

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