Solving Two Step Equations Using Opposites

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This presentation shows how to solve two step linear equations using Opposite Operations and Reversing their order.

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Solving Two Step Equations Using Opposites

  1. 1. Image Source: http://www.esquire.com
  2. 2. Step 1 - Work out the operations on the variable letterStep 2 - Put operations into BODMAS or PEMDAS orderStep 3 - Work out what the Opposite Operations areStep 4- Put Opposites into SAMDOB or SADMEP orderStep 5- Apply Opposites one by one to the equationStep 6 - Simplify the final answer
  3. 3. There is a set order we must do Math Ops in:Brackets ( ) ParenthesisOther Things X2 ExponentsDivision / or MultiplicationMultiplication X or DivisionAddition + AdditionSubtraction Subtraction
  4. 4. The Opposite operations we use for solving Equations are these ones.
  5. 5. 2N + 5 = 111) Operations: + 5 and x 22) BODMAS or PEMDAS is x 2 then + 53) Opposite Operations are / 2 and – 54) SAMDOB or SADMEP order is -5 then /25) Apply Opposites one by one to both sides of the equation. (Shown on the next slide).
  6. 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. 7. 2N + 5 = 11 Using Reversing Steps our answer was N = 3Substitute N = 3 into the original equation andcheck that it works. 2N + 5 = 11 (Sub N = 3) 2 x 3 + 5 = 11 6 + 5 = 11 11 = 11Left Side = Right Side N = 3 must be correct.
  8. 8. Fill in the missing blanks in the steps below 3k - 2 = 101) Operations: - __ and x ___2) BODMAS or PEMDAS is x ___ then - ___3) Opposite Operations are / ___ and + ___4) SAMDOB or SADMEP order is + 2 then / 35) Apply Opposites one by one to both sides of the equation. (Shown on the next slide).
  9. 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. 10. Fill in the missing blanks in the steps below n/5 + 2 = 61) Operations: __ __ and __ ___2) BODMAS or PEMDAS is __ ___ then __ ___3) Opposite Operations are x ___ and - ___4) SAMDOB or SADMEP order is - 2 then x 55) Apply Opposites one by one to both sides of the equation. (Shown on the next slide).
  11. 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. 12. Fill in the missing blanks in the steps below 2(a-3) = 81) 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. 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
  14. 14. http://passyworldofmathematics.com/

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