Home › Quizzes › Expanding Algebraic Expressions

Expanding Algebraic Expressions

This quiz is designed to assess your understanding of expanding algebraic expressions. It covers various types of expressions, including binomials, trinomials, and polynomials. Each question presents an algebraic expression that needs to be expanded, and you are tasked with selecting the correct expanded form from the given options. Good luck!

14 Questions Published
Play Quiz Practise this topic out loud

Questions

Question 1 Multiple Choice (Single Answer)

Expand the following expression: (2x + 3)(x - 4)

  1. 2x^2 - 5x - 12
  2. 2x^2 + 5x - 12
  3. 2x^2 - 8x - 12
  4. 2x^2 + 8x - 12
Question 2 Multiple Choice (Single Answer)

Expand the following expression: (x^2 + 2x - 3)(x - 1)

  1. x^3 + x^2 - 5x - 3
  2. x^3 + x^2 - 5x + 3
  3. x^3 + x^2 + 5x - 3
  4. x^3 + x^2 + 5x + 3
Question 3 Multiple Choice (Single Answer)

Expand the following expression: (2a - 3b)(4a + 5b)

  1. 8a^2 - 7ab - 15b^2
  2. 8a^2 + 7ab - 15b^2
  3. 8a^2 - 7ab + 15b^2
  4. 8a^2 + 7ab + 15b^2
Question 4 Multiple Choice (Single Answer)

Expand the following expression: (x^3 - 2x^2 + 3x - 4)(x + 2)

  1. x^4 - x^3 - 4x^2 + 5x - 8
  2. x^4 - x^3 - 4x^2 + 5x + 8
  3. x^4 + x^3 - 4x^2 + 5x - 8
  4. x^4 + x^3 - 4x^2 + 5x + 8
Question 5 Multiple Choice (Single Answer)

Expand the following expression: (a^2 + b^2)(a - b)

  1. a^3 - b^3
  2. a^3 + b^3
  3. a^2 - b^2
  4. a^2 + b^2
Question 6 Multiple Choice (Single Answer)

Expand the following expression: (2x - 3y)^2

  1. 4x^2 - 9y^2
  2. 4x^2 + 9y^2
  3. 4x^2 - 12xy + 9y^2
  4. 4x^2 + 12xy + 9y^2
Question 7 Multiple Choice (Single Answer)

Expand the following expression: (x + y + z)^3

  1. x^3 + y^3 + z^3 + 3(x^2y + xy^2 + xz^2 + yx^2 + yz^2 + zy^2) + 6xyz
  2. x^3 + y^3 + z^3 + 3(x^2y + xy^2 + xz^2 + yx^2 + yz^2 + zy^2) - 6xyz
  3. x^3 + y^3 + z^3 - 3(x^2y + xy^2 + xz^2 + yx^2 + yz^2 + zy^2) + 6xyz
  4. x^3 + y^3 + z^3 - 3(x^2y + xy^2 + xz^2 + yx^2 + yz^2 + zy^2) - 6xyz
Question 8 Multiple Choice (Single Answer)

Expand the following expression: (2a - 3b)(2a + 3b)

  1. 4a^2 - 9b^2
  2. 4a^2 + 9b^2
  3. 4a^2 - 12ab + 9b^2
  4. 4a^2 + 12ab + 9b^2
Question 9 Multiple Choice (Single Answer)

Expand the following expression: (x^2 - 2x + 1)(x^2 + 2x + 1)

  1. x^4 - 1
  2. x^4 + 1
  3. x^4 - 4x^2 + 1
  4. x^4 + 4x^2 + 1
Question 10 Multiple Choice (Single Answer)

Expand the following expression: (a + b + c)(a^2 + b^2 + c^2 - ab - bc - ca)

  1. a^3 + b^3 + c^3 - 3abc
  2. a^3 + b^3 + c^3 + 3abc
  3. a^3 + b^3 + c^3
  4. a^3 + b^3 + c^3 - ab - bc - ca
Question 11 Multiple Choice (Single Answer)

Expand the following expression: (x - y - z)^3

  1. x^3 - y^3 - z^3 - 3(x^2y + xy^2 + xz^2 + yx^2 + yz^2 + zy^2) + 6xyz
  2. x^3 - y^3 - z^3 + 3(x^2y + xy^2 + xz^2 + yx^2 + yz^2 + zy^2) - 6xyz
  3. x^3 - y^3 - z^3 + 3(x^2y + xy^2 + xz^2 + yx^2 + yz^2 + zy^2) + 6xyz
  4. x^3 - y^3 - z^3 - 3(x^2y + xy^2 + xz^2 + yx^2 + yz^2 + zy^2) - 6xyz
Question 12 Multiple Choice (Single Answer)

Expand the following expression: (2x + 3y)(3x - 2y)

  1. 6x^2 - 9xy - 6y^2
  2. 6x^2 + 9xy - 6y^2
  3. 6x^2 - 9xy + 6y^2
  4. 6x^2 + 9xy + 6y^2
Question 13 Multiple Choice (Single Answer)

Expand the following expression: (x^2 + 2x + 1)(x - 1)

  1. x^3 - 1
  2. x^3 + 1
  3. x^3 - x^2 - 2x - 1
  4. x^3 + x^2 + 2x + 1
Question 14 Multiple Choice (Single Answer)

Expand the following expression: (a^3 - b^3)(a + b)

  1. a^4 - b^4
  2. a^4 + b^4
  3. a^4 - a^3b - ab^3 + b^4
  4. a^4 + a^3b + ab^3 + b^4
← Back to Quizzes