College Algebra CLEP Prep Practice Exam

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Simplify the expression 2(3x-4)+5(x+2).

11x-8
16x-2
14x+6
18x-6

The correct answer is: 18x-6

To simplify this expression, we need to use the distributive property and combine like terms. Starting with the first parentheses, we get 2(3x-4)=6x-8. For the second parentheses, we get 5(x+2)=5x+10. Combining these results, we get 6x-8+5x+10=11x+2. Thus, the simplified expression is 11x+2, which is equivalent to option D. The other options are incorrect because they do not combine the terms correctly or do not use the distributive property. Option A incorrectly distributes the 2 to both terms in the first parentheses and adds instead of subtracting 8. Option B incorrectly includes a term that is not part of the original expression. And option C does not distribute the 5 correctly. Therefore, the correct simplified expression is option D.