1. Solving Two-Step Equations
7th Grade

2. Standard – 7.EE.3
I can use expressions and equations to solve multi-step, real-life problems using positive and negative rational numbers.

3. What is a Two-Step Equation?
Put in your own words

4. W. A. C.
You can “WAC” these equations, too! YAY!
Don’t Forget…

5. Objective - To solve equations involving two steps.
3x + 4 = 16
Hard way
Easy way
3x + 4 = 16
3x + 4 = 16
- Undo Multiplication
or Division first
- Undo Addition or
Subtraction first

6. Hard way
- Undo Mult./
Div. first
Easy way
- Undo Add./
Subt. first
3x + 4 = 16
3x + 4 = 16 3 3
3x = 12 3x 4 16 + = 3 3 3 3 3 4 16
x = 4 x + = 3 3 4 4 - - 3 3 12 x = 3 x = 4

7. USE “PEMDAS” IN REVERSE!!! (Undo It!)
Two-Step Equations
Two Operations
USE “PEMDAS” IN REVERSE!!! (Undo It!)
Example: 3x + 1 = 7
Answer: x=2
You Try: 5 = 4a – = -3
P S
E A
M D
D M
A E
S P

8. 2) Golden Rule of Algebra. BALANCE
Rules for Solving Two-Step Equations
1) Goal:
Isolate the variable.
ISOLATE
2) Golden Rule of Algebra.
BALANCE
3) To undo an operation, use inverse operation.
INVERSE OPERATION

9. Solve the following equations (WAC).
Check:
/3 = 7
Check:
10 + 3(10) = 40
Check:
4 + 2(4) = 12
Check:
/7 = -2

10. Translate the sentence below and solve.
11) Five less than the quotient of x and 2 is 37.

11. Quick Draw for Points! Who is the best at showing their work?
The text is TWO STEP EQUATIONS
You will have seconds for each problem.
Are you ready to prove yourself?

12. Solve the following equations (Remember, WAC).
Check:
/3 = 6
Check:
2(12) – 5 = 19
Check:
8(3) + 1 = 25
Check:
35/5 – 4 = 3

13. Translate the sentence below and solve.
5) Eight more than 3 times a number y is the
same as 29.
Check:
3(7) + 8 = 29

14. Distributive Property (solve for x):

15. Practice:
“Practice Two-Step Equations” Worksheet
“Glencoe 3-5”
Solve equations from one-step section
“Writing Equations from Word Problems”
“Word Problem Prompts”

16. EQUATIONS BINGO!
Combination of one-step and two-step equations
Winner gets a prize!
Must show your work!!!!!!