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After simplifying (2(5x+3y)-7(x-y)+4x), what will be the coefficient of (x)?

Answer and explanation

Correct answer: 7

Expanding the expression gives \(2(5x+3y)-7(x-y)+4x=10x+6y-7x+7y+4x\). Combining the \(x\)-terms, \(10x-7x+4x=7x\). Therefore, the coefficient of \(x\) is \(7\). The distractor \(11\) can result from mishandling the negative sign in \(-7(x-y)\). Exam tip: when a negative sign is outside parentheses, distribute it to every term inside.

Related tags

Algebraic ExpressionsCoefficientsExpanding BracketsLike TermsPolynomialsIntroduction To PolynomialsMathematicsClass 9 Mcq

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