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Algebraic Expressions and Identities

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Addition, Subtraction, Multiplication and Division of Algebraic Expressions

Subtopic

Addition, Subtraction, Multiplication and Division of Algebraic Expressions under Algebraic Expressions and Identities for Grade 8 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the product of a2a^2, a3a^3, and a4a^4.

    A.

    a9a^9

    B.

    a24a^{24}

    C.

    3a93a^9

    D.

    a5a^5

  2. 2.

    Simplify the expression: 10−(2−x)10 - (2 - x).

    A.

    8−x8 - x

    B.

    12−x12 - x

    C.

    8+x8 + x

    D.

    12+x12 + x

  3. 3.

    Find the sum of the expressions (x+1)(x + 1), (x+2)(x + 2), and (x+3)(x + 3).

    A.

    3x+63x + 6

    B.

    3x+33x + 3

    C.

    x+6x + 6

    D.

    x3+6x^3 + 6

Download the worksheet for Algebraic Expressions and Identities - Addition, Subtraction, Multiplication and Division of Algebraic Expressions to practice offline. It includes additional chapter-level practice questions.

Standard Identities: (a+b)², (a-b)², a²-b², (x+a)(x+b)

Subtopic

Standard Identities: (a+b)², (a-b)², a²-b², (x+a)(x+b) under Algebraic Expressions and Identities for Grade 8 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the product (2x+5)(2x+1)(2x + 5)(2x + 1).

    A.

    4x2+12x+54x^2 + 12x + 5

    B.

    4x2+6x+54x^2 + 6x + 5

    C.

    4x2+10x+54x^2 + 10x + 5

    D.

    4x2+54x^2 + 5

  2. 2.

    Factorize x2−0.04x^2 - 0.04.

    A.

    (x−0.02)(x+0.02)(x-0.02)(x+0.02)

    B.

    (x−0.2)(x+0.2)(x-0.2)(x+0.2)

    C.

    (x−0.2)2(x-0.2)^2

    D.

    (x−0.4)(x+0.4)(x-0.4)(x+0.4)

  3. 3.

    Simplify (x+y)(x−y)(x2+y2)(x+y)(x-y)(x^2+y^2).

    A.

    x4+y4x^4 + y^4

    B.

    x4−y4x^4 - y^4

    C.

    (x2−y2)2(x^2-y^2)^2

    D.

    x2−y2x^2 - y^2

Download the worksheet for Algebraic Expressions and Identities - Standard Identities: (a+b)², (a-b)², a²-b², (x+a)(x+b) to practice offline. It includes additional chapter-level practice questions.

Application of Identities

Subtopic

Application of Identities under Algebraic Expressions and Identities for Grade 8 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the product of (x+0.4)(x + 0.4) and (x+0.5)(x + 0.5) using identity.

    A.

    x2+0.9x+0.2x^2 + 0.9x + 0.2

    B.

    x2+0.2x+0.9x^2 + 0.2x + 0.9

    C.

    x2+0.9x+0.9x^2 + 0.9x + 0.9

    D.

    x2+0.2x^2 + 0.2

  2. 2.

    Factorize the expression x2−100x^2 - 100.

    A.

    (x−10)2(x - 10)^2

    B.

    (x+10)2(x + 10)^2

    C.

    (x−10)(x+10)(x - 10)(x + 10)

    D.

    (x−50)(x+50)(x - 50)(x + 50)

  3. 3.

    Expand (3a−4b)2(3a - 4b)^2.

    A.

    9a2−24ab+16b29a^2 - 24ab + 16b^2

    B.

    9a2−12ab+16b29a^2 - 12ab + 16b^2

    C.

    9a2+16b29a^2 + 16b^2

    D.

    3a2−24ab+4b23a^2 - 24ab + 4b^2

Download the worksheet for Algebraic Expressions and Identities - Application of Identities to practice offline. It includes additional chapter-level practice questions.

Algebraic Expressions and Identities - Class 8 Maths (ICSE) | Krit.club