In a rectangle model for ((x+4)(x+1)), what is the sum of the (x)-terms after splitting into four parts?
Answer and explanation
Correct answer: \(5x\)
The four products in the rectangle model are \(x^2\), \(x\), \(4x\), and \(4\). The terms containing \(x\) are \(x\) and \(4x\), so their sum is \(x+4x=5x\). Do not combine \(x^2\) with these terms because it has a different exponent. Exam tip: combine only like terms with the same variable and exponent.
Frequently asked questions
What is the correct answer to this question?
\(5x\)
Why is this the correct answer?
The four products in the rectangle model are \(x^2\), \(x\), \(4x\), and \(4\). The terms containing \(x\) are \(x\) and \(4x\), so their sum is \(x+4x=5x\). Do not combine \(x^2\) with these terms because it has a different exponent. Exam tip: combine only like terms with the same variable and exponent.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Visual models of identities.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
