5 Questions
Which of the following is an algebraic expression?
3x^2 - 2xy + c
Which of the following is a rational expression?
$\frac{3x-2xy+c}{y-1}$
Which type of number is π?
Transcendental
What does the expression $\frac{1-x^2}{1+x^2}$ represent?
Not an algebraic expression
What makes an expression a rational expression?
It can be rewritten as a rational fraction using arithmetic properties.
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 $q(x) \neq 0$.
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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