Simplify the expression 7x + 15xy - 5xy.

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Multiple Choice

Simplify the expression 7x + 15xy - 5xy.

Explanation:
This question tests your ability to combine like terms. 7x is one term, while 15xy and -5xy are like terms because they both contain xy. You can only combine terms with the same variable parts, so add the coefficients of the xy terms: 15xy + (-5xy) = 10xy. The 7x term stays separate because it isn’t like the xy terms. Therefore, the simplified expression is 7x + 10xy. (If you like, you could factor an x to get x(7 + 10y), but 7x + 10xy is the straightforward form.)

This question tests your ability to combine like terms. 7x is one term, while 15xy and -5xy are like terms because they both contain xy. You can only combine terms with the same variable parts, so add the coefficients of the xy terms: 15xy + (-5xy) = 10xy. The 7x term stays separate because it isn’t like the xy terms. Therefore, the simplified expression is 7x + 10xy. (If you like, you could factor an x to get x(7 + 10y), but 7x + 10xy is the straightforward form.)

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