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Grade 8 - Mathematics
1.7 Solution of Simple Equations - V

Transposition:
  • Changing a term from one side of an equation to the other side is called transposition.
  • If a term is moved (Transposed) from one side of an equation to the other then the sign of the term is changed.
  • If a quantity dividing a side is moved (Transposed) to the other side, it multiplies the other side.
  • If a quantity multiplying a side is moved (Transposed) to the other, it divides the other side.
  • If the same term (same both in magnitude and sign) is present on both sides of an equation then it can be cancelled.

Example:
Solve the equation 2x+4 = 8.
Solution:
Moving (Transposing) +4 to the other side i.e., R.H.S.
2x = 8-4
2x = 4
Taking 2, which is a multiplying quantity to L.H.S.
x = 4/2
x = 2

Verification:
Substituting x = 2 in the equation
L.H.S. 2x+4 = 2*2 + 4 = 4 + 4 = 8 = R.H.S.
\ x = 2 is the solution.
Answer: 2


Directions: Solve the following equations. Also write at least ten examples of your own.

Name: ___________________

Date:___________________

Grade 8 - Mathematics
1.7 Solution of Simple Equations - V

Q 1: Solve the equation 6x + 3 = 9.
Answer:

Q 2: Solve the equation 7x + 5 = 19.
Answer:

Q 3: Solve the equation 15x - 5 = 130.
Answer:

Q 4: Solve the equation 12x + 2 = 26.
Answer:

Q 5: Solve the equation 15x + 5 = 140.
Answer:

Q 6: Solve the equation 9x + 3 = 21.
Answer:

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Question 8: This question is available to subscribers only!


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