اردو

Home / Practice / Algebraic manipulation / Worksheet

Practise online

Algebraic manipulation

Written by Hassan Raza (Mathematics)

Class 9 · Mathematics · 9 questions

Name: ____________________   Date: ____________

  1. What is the HCF of 12x² and 18x?

    • A 36x²
    • B x
    • C 6
    • D 6x

  2. What is the LCM of 4x and 6x²?

    • A 12x²
    • B 24x³
    • C 2x
    • D 12x

  3. Simplify (x² - 4) / (x - 2).

    • A 2x
    • B x - 2
    • C x + 2
    • D x² + 2

  4. Simplify 1/x + 1/y.

    • A 2/(x + y)
    • B xy/(x + y)
    • C (x + y)/xy
    • D 1/(xy)

  5. What is the square root of 49x²?

    • A 14x
    • B 7x
    • C 7x²
    • D 49x

  6. The HCF of 8x³ and 12x² is:

    • A 24x³
    • B 8x²
    • C 4x
    • D 4x²

  7. Simplify (6x²) / (3x).

    • A 2x²
    • B 18x³
    • C 2x
    • D 3x

  8. The LCM of x and x² is:

    • A x
    • B 1
    • C x³
    • D x²

  9. Simplify (x + 2)/(x² - 4).

    • A 1/(x + 2)
    • B x + 2
    • C 1/(x - 2)
    • D x - 2

Answer key

1. D, 2. A, 3. C, 4. C, 5. B, 6. D, 7. C, 8. D, 9. C

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

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

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

  4. 1/x + 1/y = y/xy + x/xy = (x + y)/xy.

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

  6. HCF of 8 and 12 is 4 and the lowest power of x is x².

  7. 6 / 3 = 2 and x² / x = x.

  8. The LCM takes the highest power.

  9. x² - 4 = (x + 2)(x - 2).