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Algebraic manipulation

5 Class 9 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers

  1. What is the HCF of 12x2 and 18x?

    • 1 36x2
    • 2 x
    • 3 6
    • 4 6x
    Show answer

    Correct answer: 6x

    The HCF of 12 and 18 is 6 and the common power of x is x, so 6x.

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  2. What is the LCM of 4x and 6x2?

    • 1 12x2
    • 2 24x3
    • 3 2x
    • 4 12x
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    Correct answer: 12x2

    LCM of 4 and 6 is 12, and the highest power of x is x2, so 12x2.

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  3. Simplify (x2 - 4) / (x - 2).

    • 1 2x
    • 2 x - 2
    • 3 x + 2
    • 4 x2 + 2
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    Correct answer: x + 2

    x2 - 4 = (x + 2)(x - 2), so the fraction equals x + 2.

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  4. Simplify 1/x + 1/y.

    • 1 2/(x + y)
    • 2 xy/(x + y)
    • 3 (x + y)/xy
    • 4 1/(xy)
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    Correct answer: (x + y)/xy

    1/x + 1/y = y/xy + x/xy = (x + y)/xy.

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  5. What is the square root of 49x2?

    • 1 14x
    • 2 7x
    • 3 7x2
    • 4 49x
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    Correct answer: 7x

    The square root of 49 is 7 and the square root of x2 is x.

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More Mathematics topics
Matrices and determinants
Real and complex numbers
Logarithms
Algebraic expressions and formulas
Factorization
Linear equations and inequalities
Linear graphs and their applications
Basic statistics