College Math CLEP Prep Practice Exam

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Which of the following equations has an infinite number of solutions?

2x + 16 = 0
5x + 2 = 3x + 10
20x + 10 = 25x
6x + 2 = 18

The correct answer is: 5x + 2 = 3x + 10

Equation B, 5x + 2 = 3x + 10, has an infinite number of solutions. This is because both sides of the equation simplify to 5x = 5x, meaning that any value of x will make the equation true. This is called an identity equation and it has an infinite number of solutions. The other options have a specific value for x that will make the equation true, but not an infinite number of solutions. For example, in equation D, 6x+2=18, x=2 would make the equation true, but there is not an infinite number of values that can make it true. Options A and C have no solutions, as there is no value of x that can make both sides of the equation equal. This means they are inconsistent equations.