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What is a one

Solving One and Two Step Equations

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**1. **Solving One and Two Step Equations
By
John Thurmond

**2. **What is a one – step equation? Examples:
3x = 21
a/5 = 10
5 + b = 12
x – 10 = 15
6t = 36

**3. **How do you solve a one–step equation?
Identify operation
Undo operation
Balance equation
Solve for variable
Check solution

**4. **Undo Operation Use opposite operation or “undo” operation
Addition is opposite of subtraction (addition undoes subtraction)
Subtraction is opposite of addition (subtraction undoes addition)
Multiplication is opposite of division (multiplication undoes division)
Division is opposite of multiplication (division undoes multiplication)

**5. **Apply steps Example: 2x = 10
Identify operation – multiplication 2x = 10
Undo operation – use division 2 2
Balance equation – do the same to both sides
Solve equation – x = 5
Check solution – does 2 * 5 = 10?

**6. **What are two-step equations? Examples of two-step equations:
1) m/5 + 6 = 9
2) 5w + 2.7 = 12.8
3) 15 – 3x = -6
2x + 2/3 = 4/5
5/2d – 3/2 = -1/2

**7. **How do you solve a two-step equation? Identify operations
Undo operations
Balance equation
Repeat steps
Solve for variable
Check solution

**8. **Identify operations
a/2 - 3 = 8
Fraction bar = division
Minus sign = subtraction

**9. **Undo Operations Use opposite operations or “undo” operations
Addition is opposite of subtraction (addition undoes subtraction)
Subtraction is opposite of addition (subtraction undoes addition)
Multiplication is opposite of division (multiplication undoes division)
Division is opposite of multiplication (division undoes multiplication)

**10. **Keep Equation Balanced
Whatever you do to one side of the equation you do to the other side of the equation.

**11. **Repeat Steps
Continue these steps until you have solved the equation.

**12. **Solve Equation
Solve for the variable.

**13. **Check answer
Replace your answer for your variable in the original equation.
Simplify the equation using your answer.

**14. **Apply Steps
Identify operations
Undo operations
Balance equation
Repeat steps
Solve equation
Check solution a/2 – 3 = 8
division and subtraction
a/2 - 3 = 8
+ 3 + 3
a/2 = 11
(2)a/2 = (2)11
a = 22
22/2 – 3 = 8?
11 – 3 = 8?
11 – 3 = 8

**15. **Examples 3x = 21
5
6
3
7
8

**16. **Examples 2) a/5 = 10
20
30
50
10
40

**17. **Examples 3) 5 + b = 12
6
7
5
4
3

**18. **Examples x – 10 = 15
25
24
23
22
20

**19. **Examples 6y = 36
5
4
2
3
6

**20. **Examples 6) m/5 + 6 = 9
30
45
15
3/5
106

**21. **Examples 7) 5w + 2.7 = 12.8
1.02
2.02
64
32
95

**22. **Examples 8) 15 – 3x = -6
7
9
-7
-9
-3

**23. **Examples 9) 2x + 2/3 = 4/5
5
2/5
6
3/15
1/15

**24. **Examples 10) 5/2d – 3/2 = -1/2
3/5
1/5
1/10
3/10
2/5

**25. **The End