Algebraic Expressions and Factorisation Quiz for Class 8 Students

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Questions and Answers

Which of the following is an algebraic expression?

  • 2 + 3 = 5
  • 3 + x = 7 (correct)
  • 3 x 4 = 12
  • 5 x 7 = 35

What is the process of breaking down an algebraic expression into its factors called?

  • Factorisation (correct)
  • Expansion
  • Substitution
  • Simplification

Which of the following is a factor of the algebraic expression '3x + 6'?

  • x + 6
  • 3x + 3
  • 3x (correct)
  • 3x - 6

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Study Notes

Algebraic Expressions

  • An algebraic expression is a mathematical phrase that combines variables, constants, and mathematical operations.
  • Examples of algebraic expressions include 2x + 3, x^2 - 4, and 5x - 2.

Factoring Algebraic Expressions

  • The process of breaking down an algebraic expression into its factors is called factoring.
  • Factoring involves expressing an algebraic expression as a product of simpler expressions, called factors.

Factors of Algebraic Expressions

  • A factor of an algebraic expression is an expression that divides the original expression exactly without leaving a remainder.
  • 3 is a factor of the algebraic expression '3x + 6', as 3(3x + 2) = 3x + 6.

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