1. One-Step Equations
Hooray! Lets learn!

2. Inverse operations Inverse means opposites
Lets start with learning about inverse operation!
Inverse means opposite.
Inverse means
opposites

3. Opposites
Examples of opposites:
BIG small
HOT COLD
Fast Slow

4. Since inverse means opposite, what’s the inverse of these?
Addition:
Subtraction:
Multiplication:
Division:
What’s the opposite of adding 9?
What’s the inverse operation of multiplying 12?
What’s the opposite of dividing 7?
What’s the inverse of subtraction 3?

5. You have been doing one-step equations your whole life and probably didn’t know it!
+ _______ =
How many ice creams are missing? _______

6. What we do to one side we HAVE to do the same thing to the other side!
In your mind you are actually doing this!
2 ice creams + x = 5 ice creams
- 2 ice creams = - 2 ice creams
x = 3 ice creams X
Is the variable
Important!
What we do to one side we HAVE to do the same thing to the other side!

7. I have three friends coming over and I have 12 pieces of pizza to split between us. Using one-step equations, how can I find out how many pieces of pizza we each get?
The facts: We have 3 people and 12 pieces of pizza.
What we want to know: How many pieces of pizza will each person get?

8. Solve for x What is the inverse operation for multiplication? 3x = 12
Now we have x by itself x = 4
The goal is to get the variable by itself. How do we do this? By using the inverse of the coefficient or constant.

9. Practice
26 = 8 + v 15 + b = 23 m – 9 = 13 v – 15 = 25

10. Keep it up!
6 = 2x v 8 = 2 16 = k 49= 7n 10

11. Solve for x with integers
-42 = 7x n + 4 = -12
b = w – 9 = -13

12. Group work
v – 15 = 27

13. Group work
- 15x = 0

14. Group work
n – 8 = -10

15. Group work
v = 8 7

16. Group
- 7 + m = 8

17. 18 + x = 8

18. 60 = 12k

19. What is the inverse operation?

20. Future learning
P- Parenthesis E - Exponents M - Multiply D – Divide A - Add S - Subtract
4 ( ) - 5