Algebraic Expressions Quiz
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Questions and Answers

Which of the following is an algebraic expression?

  • 3x^2 - 2xy + c (correct)
  • $\frac{1-x^2}{1+x^2}$
  • $\frac{1}{x} + \frac{1}{y}$
  • $\sqrt{3x-2xy+c}$
  • Which of the following is a rational expression?

  • $\frac{x+1}{x-1}$
  • $\frac{3x-2xy+c}{y-1}$ (correct)
  • $\frac{1-x^2}{1+x^2}$
  • $\sqrt{3x-2xy+c}$
  • Which type of number is π?

  • Integer
  • Transcendental (correct)
  • Algebraic
  • Rational
  • What does the expression $\frac{1-x^2}{1+x^2}$ represent?

    <p>Not an algebraic expression</p> Signup and view all the answers

    What makes an expression a rational expression?

    <p>It can be rewritten as a rational fraction using arithmetic properties.</p> Signup and view all the answers

    Study Notes

    Algebraic and Rational Expressions

    • An algebraic expression is an expression that contains variables, constants, and algebraic operations (addition, subtraction, multiplication, division, exponentiation, etc.)
    • A rational expression is an expression of the form $\frac{p(x)}{q(x)}$, where $p(x)$ and $q(x)$ are polynomials and $q(x) \neq 0$.

    Properties of π

    • π (pi) is an irrational number, which means it cannot be expressed as a finite decimal or fraction.

    Expression Analysis

    • The expression $\frac{1-x^2}{1+x^2}$ represents a rational expression, as it is in the form of a fraction of polynomials.

    Definition of Rational Expression

    • A rational expression is an expression that can be written in the form $\frac{p(x)}{q(x)}$, where $p(x)$ and $q(x)$ are polynomials and $q(x) \neq 0$.

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    Quiz Team

    Description

    Test your knowledge of algebraic expressions with this quiz. Identify and manipulate algebraic expressions involving constants, variables, and operations to solve problems.

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