CLASS 7 MATHS · ALGEBRAIC EXPRESSIONS

Add and subtract algebraic expressions

Only like terms (same letters with the same powers) can be combined: add or subtract their coefficients.

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Worked examples

Example 1 · level 1

Add 4x + 9y and 2x + 9y.

  1. 2x + 18y
  2. 6x
  3. 2x
  4. 6x + 18y
Show solution
  1. (4x + 9y) + (2x + 9y)
  2. x: 4 + 2 = 6; y: 9 + 9 = 18.
  3. Answer: 6x + 18y.

Answer: 6x + 18y

Example 2 · level 2

Add 4x − y and 7x + 2y.

  1. 11x + y
  2. −3x − 3y
  3. 11x − 3y
  4. −3x + y
Show solution
  1. (4x − y) + (7x + 2y)
  2. x: 4 + 7 = 11; y: −1 + 2 = 1.
  3. Answer: 11x + y.

Answer: 11x + y

Example 3 · level 3

Add 7x² + 6x − 1 and −7x² − x + 9.

  1. 14x² + 7x − 10
  2. 7x + 8
  3. 5x + 8
  4. 14x² + 5x + 8
Show solution
  1. (7x² + 6x − 1) + (−7x² − x + 9)
  2. x²: 7 + (−7) = 0; x: 6 + (−1) = 5; numbers: −1 + 9 = 8.
  3. Answer: 5x + 8.

Answer: 5x + 8

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