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Algebra and Factorization

Comprehensive quiz covering algebraic expressions, polynomial operations, and factorization techniques including algebraic identities

20 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

In a polynomial, the exponents of the variables are always

  1. Integers
  2. Positive integers
  3. Non-negative integers
  4. Non-positive integers
Question 2 Multiple Choice (Single Answer)

The sum of -7pq and 2pq is

  1. -9pq
  2. 9pq
  3. 5pq
  4. -5pq
Question 3 Multiple Choice (Single Answer)

Like term as 4m3n2 is

  1. 4m2n2
  2. -6m3n2
  3. 6pm3n2
  4. 4m3n
Question 4 Multiple Choice (Single Answer)

Which of the following is a binomial?

  1. 7×a+a
  2. 6a2+7b+2c
  3. 4a×3b×2c
  4. 6(a2+b)
Question 5 Multiple Choice (Single Answer)

The product of a monomial and a binomial is a

  1. Monomial
  2. Binomial
  3. Trinomial
  4. None of these
Question 6 Multiple Choice (Single Answer)

If we subtract -3x2y2 from x2y2, then we get

  1. -4x2y2
  2. -2x2y2
  3. 2x2y2
  4. 4x2y2
Question 7 Multiple Choice (Single Answer)

Area of a rectangle with length 4ab and breadth 6b2 is

  1. 24a2b2
  2. 24ab3
  3. 24ab2
  4. 24ab
Question 8 Multiple Choice (Single Answer)

Which of the following is correct?

  1. (a-b)2 = a2 + 2ab – b2
  2. (a-b)2 = a2 -2ab + b2
  3. (a-b)2 = a2 – b2
  4. (a+b)2 = a2 + 2ab –b2
Question 9 Multiple Choice (Single Answer)

Which of the following are like terms?

  1. 5xyz2, -3xy2z
  2. -5xyz2, 7xyz2
  3. 5xyz2, 5x2yz
  4. 5xyz2, x2y2z2
Question 10 Multiple Choice (Single Answer)

Product of 6a2-7b+5ab and 2ab is

  1. 12a3b-14ab2 + 10ab
  2. 12a3b -14ab2 + 10a2b2
  3. 6a2-7b+7ab
  4. 12a2b – 7ab2 +10ab
Question 11 Multiple Choice (Single Answer)

Sum of a-b +ab, b+c –bc and c –a – ac is

  1. 2c+ab-ac-bc
  2. 2c-ab-ac-bc
  3. 2c +ab+ac+bc
  4. 2c-ab+ac+bc
Question 12 Multiple Choice (Single Answer)

Factorized form of 23xy – 46x + 54y -108 is

  1. (23x +54) (y-2)
  2. (23x +54y) (y-2)
  3. (23xy + 54y) ( -46x -108)
  4. (23x +54) (y+2)
Question 13 Multiple Choice (Single Answer)

Square of 9x – 7xy is

  1. 81x2 + 49x2y2
  2. 81x2 – 49x2y2
  3. 81x2 + 49x y2 – 126x2y
  4. 81x 2 + 49x2y2 – 63x2y
Question 14 Multiple Choice (Single Answer)

Coefficient of y in the term -y/3 is

  1. -1
  2. -3
  3. -1/3
  4. 1/3
Question 15 Multiple Choice (Single Answer)

Factorized form of r2 – 10r + 21 is

  1. (r -1) (r -4)
  2. (r -7) (r – 3)
  3. (r -7) (r +3)
  4. (r+7) (r +3)
Question 16 Multiple Choice (Single Answer)

Common factor of 17abc, 34ab2, 51a2b is

  1. 17abc
  2. 17ab
  3. 17ac
  4. 17a2b2c
Question 17 Multiple Choice (Single Answer)

A2 – B2 is equal to

  1. (a –b)2
  2. (a –b) (a –b)
  3. (a +b) (a-b)
  4. (a +b) (a+ b)
Question 18 Multiple Choice (Single Answer)

Product of the following monomials 4p,-7q3, -7pq is

  1. 196 p2q4
  2. 196 pq4
  3. -196p2q4
  4. 196p2q3
Question 19 Multiple Choice (Single Answer)

Square of 3x-4y is

  1. 9x2 – 16y2
  2. 6x2 -8y2
  3. 9x2 +16y2 +24xy
  4. 9x2 + 16y2 -24xy
Question 20 Multiple Choice (Single Answer)

Volume of a rectangular box (cuboid ) with length = 2ab, breadth:3ac and height = 2ac is

  1. 12a3bc2
  2. 12a3bc
  3. 12a2bc
  4. 2ab+3ac+2ac
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