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Algebraic expressions and formulas

Written by Hassan Raza (Mathematics)

10 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
    Show answer

    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 3x⁴ + 2x² + 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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  7. The value of (a + b)(a - b) when a = 5 and b = 3 is:

    • 1 34
    • 2 64
    • 3 16
    • 4 4
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    Correct answer: 16

    a² - b² = 25 - 9 = 16.

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  8. Expand (x + 2)(x + 3).

    • 1 x² + 5x + 6
    • 2 2x + 5
    • 3 x² + 5x + 5
    • 4 x² + 6
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    Correct answer: x² + 5x + 6

    x² + 3x + 2x + 6.

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  9. The coefficient of x in 7x² + 5x - 3 is:

    • 1 -3
    • 2 2
    • 3 7
    • 4 5
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    Correct answer: 5

    The term in x is 5x.

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  10. An expression with two terms is called a:

    • 1 Quadratic
    • 2 Monomial
    • 3 Binomial
    • 4 Trinomial
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    Correct answer: Binomial

    A binomial has two terms.

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