Which option is equal to (6(x+1)-x)?
Answer and explanation
Correct answer: 5x+6
Use the distributive property: \(6(x+1)-x=6x+6-x\). Combining the like terms \(6x\) and \(-x\) gives \(5x\), so the expression equals \(5x+6\). The option \(7x+6\) results from incorrectly treating \(6x-x\) as \(7x\). Exam tip: after opening brackets, add or subtract coefficients only of like terms.
Frequently asked questions
What is the correct answer to this question?
5x+6
Why is this the correct answer?
Use the distributive property: \(6(x+1)-x=6x+6-x\). Combining the like terms \(6x\) and \(-x\) gives \(5x\), so the expression equals \(5x+6\). The option \(7x+6\) results from incorrectly treating \(6x-x\) as \(7x\). Exam tip: after opening brackets, add or subtract coefficients only of like terms.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.
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