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10 Question MCQ (including Assertion)

Chapter 4 Class 9 - Exploring Algebraic Identities (Ganita Manjari I) | 10 questions | about 8 minutes

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Question 1 of 10
Question 1 of 10
Simplify the rational expression \(\frac{x^{2}-7x+12}{5x^{2}+5x-100}\).
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Question 2 of 10
Simplify \(\frac{x^{2}-25}{x^{2}-3x-10}\), assuming the original denominator is non-zero.
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Question 3 of 10
For any three consecutive integers \(n-1,n,n+1\), what is \((n-1)^{2}+(n+1)^{2}-2n^{2}\)?
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Question 4 of 10
Using an identity, evaluate \(47^{2}\).
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Question 5 of 10
Expand \((2.5p+1.5q)^{2}\).
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Question 6 of 10
An algebra-tile rectangle represents \(x^{2}+9x+20\). Which side lengths can form the rectangle?
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Question 7 of 10
A calculator is unavailable. Which is the value of \(1001^{2}\)?
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Question 8 of 10
If \(a\) and \(b\) are non-zero numbers with \(ab\lt 0\), which comparison is always correct?
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Question 9 of 10
Factorise \(6x^{2}-x-2\).
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Question 10 of 10
If \(x^{2}+mx+24=(x+3)(x+8)\), what is \(m\)?
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