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Algebraic Expressions and Identities

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

Addition and Subtraction of Algebraic Expressions

Subtopic

Addition and Subtraction of Algebraic Expressions under Algebraic Expressions and Identities for Grade 8 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Subtract (w10)(w - 10) from (w+10)(w + 10).

    A.

    2w2w

    B.

    00

    C.

    2020

    D.

    w+20w + 20

  2. 2.

    Simplify: 12h2hh12h - 2h - h.

    A.

    10h10h

    B.

    9h9h

    C.

    8h8h

    D.

    11h11h

  3. 3.

    What is the result of subtracting 3x3x from (10x)(10 - x)?

    A.

    104x10 - 4x

    B.

    102x10 - 2x

    C.

    10+2x10 + 2x

    D.

    7x7x

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

Multiplication of Algebraic Expressions

Subtopic

Multiplication of Algebraic Expressions under Algebraic Expressions and Identities for Grade 8 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Find the product of (ab)(a - b) and bb.

    A.

    abbab - b

    B.

    abb2ab - b^2

    C.

    ab2a - b^2

    D.

    ab2bab - 2b

  2. 2.

    What is the result of 1×(4a5b)1 \times (4a - 5b)?

    A.

    11

    B.

    4a+5b4a + 5b

    C.

    4a5b4a - 5b

    D.

    4a+5b-4a + 5b

  3. 3.

    Multiply the binomials (xy)(x - y) and (z+w)(z + w).

    A.

    xz+xwyzywxz + xw - yz - yw

    B.

    xzywxz - yw

    C.

    xz+xw+yz+ywxz + xw + yz + yw

    D.

    xyzwxyzw

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

Standard Identities: (a+b)², (a-b)², (a+b)(a-b)

Subtopic

Standard Identities: (a+b)², (a-b)², (a+b)(a-b) under Algebraic Expressions and Identities for Grade 8 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the square of (3x1)(3x - 1)?

    A.

    9x219x^2 - 1

    B.

    9x26x+19x^2 - 6x + 1

    C.

    3x26x+13x^2 - 6x + 1

    D.

    9x2+6x+19x^2 + 6x + 1

  2. 2.

    Calculate 103×97103 \times 97 using a standard identity.

    A.

    99919991

    B.

    1000910009

    C.

    99019901

    D.

    99999999

  3. 3.

    The expression 4x212x+94x^2 - 12x + 9 is equivalent to:

    A.

    (2x+3)2(2x+3)^2

    B.

    (2x3)2(2x-3)^2

    C.

    (4x3)2(4x-3)^2

    D.

    (2x9)2(2x-9)^2

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

Applying Identities

Subtopic

Applying Identities under Algebraic Expressions and Identities for Grade 8 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Simplify (10x0.1)2(10x - 0.1)^2 using the identity (ab)2=a22ab+b2(a-b)^2 = a^2 - 2ab + b^2.

    A.

    100x2x+0.01100x^2 - x + 0.01

    B.

    100x22x+0.1100x^2 - 2x + 0.1

    C.

    100x22x+0.01100x^2 - 2x + 0.01

    D.

    100x2+0.01100x^2 + 0.01

  2. 2.

    Expand (0.1p+0.2q)2(0.1p + 0.2q)^2 using identities.

    A.

    0.01p2+0.04pq+0.04q20.01p^2 + 0.04pq + 0.04q^2

    B.

    0.1p2+0.04pq+0.2q20.1p^2 + 0.04pq + 0.2q^2

    C.

    0.01p2+0.02pq+0.04q20.01p^2 + 0.02pq + 0.04q^2

    D.

    0.01p2+0.4pq+0.04q20.01p^2 + 0.4pq + 0.04q^2

  3. 3.

    Find the square of (23x+9)(\frac{2}{3}x + 9) using (a+b)2(a+b)^2.

    A.

    49x2+6x+81\frac{4}{9}x^2 + 6x + 81

    B.

    49x2+12x+81\frac{4}{9}x^2 + 12x + 81

    C.

    23x2+12x+81\frac{2}{3}x^2 + 12x + 81

    D.

    49x2+81\frac{4}{9}x^2 + 81

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