College Algebra CLEP Prep Practice Exam

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Which equation has an infinite number of solutions?

  1. 3x + 2 = 14

  2. x – 1 = 10

  3. x + 1 = 0

  4. 4x – 4 = 0

The correct answer is: x + 1 = 0

The equation x + 1 = 0 has an infinite number of solutions because any value of x that satisfies this equation will make it true. For example, if x = -1, then -1 + 1 = 0, or if x = 0, then 0 + 1 = 1. Therefore, there are an infinite number of values that can be substituted for x to make this equation true. On the other hand, the equations A, B, and D all have a specific solution or only a finite number of solutions. In equation A, the value of x that makes the equation true is x = 4. In equation B, the value of x is x = 11. In equation D, the value of x is x = 1. Therefore, option C is the only equation that has an infinite number of solutions, making

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