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Identities — Flashcards

ICSE · Class 8 · Mathematics

28 flashcards for Identities (ICSE Class 8 Mathematics) to test yourself on key terms and facts. Sample: "Solve and check: (a + 2)(a + 3) = a^2 + 5a +"

75 questions28 flashcards7 formulas & key relations5 concepts

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28 Flashcards·
Identity checkIdentity conceptSpecial product 1Special product 2Special product 3Special product 4
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?
Key topics in Identities include Identity and Special Products, Expansion of Squares, Cubes of Binomials, Application of Identities. Study these first, then practise questions on each for Class 8 exams.
How many flashcards are available for Identities?
There are 28 flashcards for Identities covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Identities for Class 8 exams?
Learn the core ideas first, then work through the 75 practice questions on Identities. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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