16Hit1600
AlgebraVery hardEquation with exactly one solution

Algebra practice question

Which of the following equations has exactly one solution?

  1. A. 4(x + 1) = 2x + 4Correct
  2. B. 4(x + 1) = 4x + 4
  3. C. 4(x + 1) = 4x + 1
  4. D. 4(x + 1) = 4x − 4

Answer: A. 4(x + 1) = 2x + 4

4x + 4 = 2x + 4 gives 2x = 0, x = 0: one solution.

Why the other answers are wrong

B. 4(x + 1) = 4x + 4
4x + 4 = 4x + 4 is true for every x.
C. 4(x + 1) = 4x + 1
4x + 4 = 4x + 1 is never true.
D. 4(x + 1) = 4x − 4
4x + 4 = 4x − 4 is never true.

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