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Algebraic manipulation
Class 9 · Mathematics · 5 questions
Name: ____________________ Date: ____________
What is the HCF of 12x2 and 18x?
- A 36x2
- B x
- C 6
- D 6x
What is the LCM of 4x and 6x2?
- A 12x2
- B 24x3
- C 2x
- D 12x
Simplify (x2 - 4) / (x - 2).
- A 2x
- B x - 2
- C x + 2
- D x2 + 2
Simplify 1/x + 1/y.
- A 2/(x + y)
- B xy/(x + y)
- C (x + y)/xy
- D 1/(xy)
What is the square root of 49x2?
- A 14x
- B 7x
- C 7x2
- D 49x
Answer key
1. D, 2. A, 3. C, 4. C, 5. B
The HCF of 12 and 18 is 6 and the common power of x is x, so 6x.
LCM of 4 and 6 is 12, and the highest power of x is x2, so 12x2.
x2 - 4 = (x + 2)(x - 2), so the fraction equals x + 2.
1/x + 1/y = y/xy + x/xy = (x + y)/xy.
The square root of 49 is 7 and the square root of x2 is x.