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Algebraic expressions and formulas

6 Class 9 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. What is (a + b) squared?

    • 1 2a + 2b
    • 2 a2 - 2ab + b2
    • 3 a2 + 2ab + b2
    • 4 a2 + b2
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    Correct answer: a2 + 2ab + b2

    (a + b)2 = a2 + 2ab + b2.

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  2. What is (a - b) squared?

    • 1 a2 - ab + b2
    • 2 a2 - 2ab + b2
    • 3 a2 - b2
    • 4 a2 + 2ab + b2
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    Correct answer: a2 - 2ab + b2

    (a - b)2 = a2 - 2ab + b2.

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  3. If a + b = 5 and ab = 6, what is a2 + b2?

    • 1 13
    • 2 37
    • 3 11
    • 4 25
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    Correct answer: 13

    a2 + b2 = (a + b)2 - 2ab = 25 - 12 = 13.

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  4. What is the value of (101)2 using a formula?

    • 1 10001
    • 2 10101
    • 3 10201
    • 4 10200
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    Correct answer: 10201

    (100 + 1)2 = 10000 + 200 + 1 = 10201.

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  5. The degree of the polynomial 3x^4 + 2x^2 + 1 is:

    • 1 1
    • 2 2
    • 3 4
    • 4 3
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    Correct answer: 4

    The degree is the highest power of x, which is 4.

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  6. a2 - b2 is equal to:

    • 1 a(a - b)
    • 2 (a + b)2
    • 3 (a + b)(a - b)
    • 4 (a - b)2
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    Correct answer: (a + b)(a - b)

    Difference of squares: a2 - b2 = (a + b)(a - b).

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