College Math CLEP Prep Practice Exam

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How many solutions are there for the equation 10x + 6 = 3?

0
1
2
Infinite

The correct answer is: 0

Since 10x + 6 = 3 is a 1st degree (linear) equation, it can have a maximum of one solution. This is because a 1st degree equation only has one slope and one y-intercept which corresponds to only one point of intersection. The correct answer is therefore A, as there are no real values of x that would make the equation true. Option B, 1, may seem like a possible answer, but in fact there are no solutions that can make the equation true. Option C, 2, is incorrect because a 1st degree equation can only have one solution. Option D, infinite, is incorrect because infinite solutions would mean that all values of x would make the equation true, but in this case, there are no real values of x that would make the equation true.