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Identities

ICSE · Class 8 · Mathematics

Flashcards for Identities — ICSE Class 8 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

75 questions28 flashcards5 concepts

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28 Flashcards
Card 1Identity check

Solve and check: (a + 2)(a + 3) = a^2 + 5a + 6 for a = 2

Answer

Step 1: L.H.S. = (2 + 2)(2 + 3) = 4 × 5 = 20 Step 2: R.H.S. = 2^2 + 5(2) + 6 = 4 + 10 + 6 = 20 Answer: L.H.S. = R.H.S. = 20, so the identity is true for a = 2.

Card 2Identity check

Solve and check: (a + 2)(a + 3) = a^2 + 5a + 6 for a = 5

Answer

Step 1: L.H.S. = (5 + 2)(5 + 3) = 7 × 8 = 56 Step 2: R.H.S. = 5^2 + 5(5) + 6 = 25 + 25 + 6 = 56 Answer: Both sides equal 56.

Card 3Identity check

Solve and check: (a + 2)(a + 3) = a^2 + 5a + 6 for a = -8

Answer

Step 1: L.H.S. = (-8 + 2)(-8 + 3) = (-6)(-5) = 30 Step 2: R.H.S. = (-8)^2 + 5(-8) + 6 = 64 - 40 + 6 = 30 Answer: Both sides equal 30.

Card 4Identity concept

Why is (a + 2)(a + 3) = a^2 + 5a + 6 called an identity?

Answer

An identity is an algebraic equation whose two sides give the same result for every value of the variable. This equation gives equal values for a = 2, 5, and -8, and it works for every other value too…

Card 5Special product 1

Expand: (x + 5)(x + 3)

Answer

Use Special Product 1: (x + a)(x + b) = x^2 + (a + b)x + ab Here, a = 5 and b = 3 So, (x + 5)(x + 3) = x^2 + (5 + 3)x + 5 × 3 = x^2 + 8x + 15 Answer: x^2 + 8x + 15…

Card 6Special product 2

Expand: (x + 5)(x - 3)

Answer

Use Special Product 2: (x + a)(x - b) = x^2 + (a - b)x - ab Here, a = 5 and b = 3 So, (x + 5)(x - 3) = x^2 + (5 - 3)x - 5 × 3 = x^2 + 2x - 15 Answer: x^2 + 2x - 15…

Card 7Special product 3

Expand: (x - 5)(x + 3)

Answer

Use Special Product 3: (x - a)(x + b) = x^2 - (a - b)x - ab Here, a = 5 and b = 3 So, (x - 5)(x + 3) = x^2 - (5 - 3)x - 5 × 3 = x^2 - 2x - 15 Answer: x^2 - 2x - 15…

Card 8Special product 4

Expand: (x - 5)(x - 3)

Answer

Use Special Product 4: (x - a)(x - b) = x^2 - (a + b)x + ab Here, a = 5 and b = 3 So, (x - 5)(x - 3) = x^2 - (5 + 3)x + 5 × 3 = x^2 - 8x + 15 Answer: x^2 - 8x + 15…

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Frequently Asked Questions

What are the important topics in Identities for ICSE Class 8 Mathematics?
Identities covers several key topics that are frequently asked in ICSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Identities — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 75 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Identities?
There are 28 flashcards for Identities covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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