This presentation shows how to solve two step linear equations using Opposite Operations and Reversing their order. To obtain a PowerPoint format download of this presentation, go to the following page: http://passyworldofmathematics.com/pwerpoints/

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2. Step 1 - Work out the operations on the variable letter
Step 2 - Put operations into BODMAS or PEMDAS order
Step 3 - Work out what the Opposite Operations are
Step 4- Put Opposites into SAMDOB or SADMEP order
Step 5- Apply Opposites one by one to the equation
Step 6 - Simplify the final answer

3. There is a set order we must do Math Ops in:
Brackets ( ) Parenthesis
Other Things X2 Exponents
Division / or Multiplication
Multiplication X or Division
Addition + Addition
Subtraction Subtraction

4. The Opposite operations we use for solving
Equations are these ones.

5. 2N + 5 = 11
1) Operations: + 5 and x 2
2) BODMAS or PEMDAS is x 2 then + 5
3) Opposite Operations are / 2 and – 5
4) SAMDOB or SADMEP order is -5 then /2
5) Apply Opposites one by one to both sides of
the equation. (Shown on the next slide).

6. From Step 4) SAMDOB or SADMEP order is - 5 then /2
2N + 5 = 11
-5 -5
2N = 6
2N = 6
2 2
N =3

7. 2N + 5 = 11
Using Reversing Steps our answer was N = 3
Substitute N = 3 into the original equation and
check that it works.
2N + 5 = 11 (Sub N = 3)
2 x 3 + 5 = 11
6 + 5 = 11
11 = 11
Left Side = Right Side N = 3 must be correct.

8. Fill in the missing blanks in the steps below
3k - 2 = 10
1) Operations: - __ and x ___
2) BODMAS or PEMDAS is x ___ then - ___
3) Opposite Operations are / ___ and + ___
4) SAMDOB or SADMEP order is + 2 then / 3
5) Apply Opposites one by one to both sides of the
equation. (Shown on the next slide).

9. From Step 4) SAMDOB or SADMEP order is + 2 then /3
3k - 2 = 10
+2 +2
3k = 12
3k = 12
3 3
k =4

10. Fill in the missing blanks in the steps below
n/5 + 2 = 6
1) Operations: __ __ and __ ___
2) BODMAS or PEMDAS is __ ___ then __ ___
3) Opposite Operations are x ___ and - ___
4) SAMDOB or SADMEP order is - 2 then x 5
5) Apply Opposites one by one to both sides of the
equation. (Shown on the next slide).

11. From Step 4) SAMDOB or SADMEP order is - 2 then x 5
n/5 + 2 = 6
-2 -2
n/5 = 4 (Now multiply by 5)
nx5 = 4x5
5
n = 20

12. Fill in the missing blanks in the steps below
2(a-3) = 8
1) Operations: ( - __ ) and x ___
2) BODMAS or PEMDAS is (- ___) then x ___
3) Opposite Operations are (+ ___) and / ___
4) SAMDOB or SADMEP order is /2 then (+ 3)
5) Apply Opposites one by one to both sides of the
equation. (Shown on the next slide).

13. From Step 4) SAMDOB or SADMEP order is / 2 then (+3)
2(a-3) = 8 ( First divide by 2)
2(a-3) = 8
2 2
(a-3) = 4 (Now add 3 both sides)
(a-3 + 3) = 4 + 3
a =7

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