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Advanced MathEasyAdding two linear expressions

Advanced Math practice question

The sum (x + 7) + (3x − 2) is equivalent to which of the following?

  1. A. 4x + 5Correct
  2. B. 3x + 5
  3. C. 4x − 5
  4. D. 4x + 9

Answer: A. 4x + 5

Add the x-terms (x + 3x = 4x) and the constants (7 − 2 = 5).

Why the other answers are wrong

B. 3x + 5
The x from the first expression must be counted: x + 3x = 4x.
C. 4x − 5
7 − 2 = +5; the constant stays positive.
D. 4x + 9
The −2 subtracts from 7, giving 5, not 9.

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