If the rectangle sides are (3x+1) and (x+2), what will be the total (x)-term in the area model?
Answer and explanation
Correct answer: \(7x\)
In the area model, the linear terms come from two products: \(3x\times 2=6x\) and \(1\times x=x\). Therefore, the total \(x\)-term is \(6x+x=7x\). Choosing only \(6x\) misses the \(1\times x\) part. Exam tip: write the products of all four small regions and then combine like terms.
Frequently asked questions
What is the correct answer to this question?
\(7x\)
Why is this the correct answer?
In the area model, the linear terms come from two products: \(3x\times 2=6x\) and \(1\times x=x\). Therefore, the total \(x\)-term is \(6x+x=7x\). Choosing only \(6x\) misses the \(1\times x\) part. Exam tip: write the products of all four small regions and then combine like terms.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Visual models of identities.
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