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Variable

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College Algebra

Definition

A variable is a symbol used to represent an unknown or arbitrary number in mathematical expressions and equations. It allows for generalization and manipulation of algebraic formulas.

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5 Must Know Facts For Your Next Test

  1. Variables are often denoted by letters such as $x$, $y$, or $z$.
  2. In an equation, variables can represent any value that satisfies the equation.
  3. Variables can be dependent or independent; independent variables are inputs, while dependent variables are outputs.
  4. Substituting different values for a variable can help solve algebraic expressions and equations.
  5. Understanding the role of variables is crucial for solving linear equations, inequalities, and functions.

Review Questions

  • What is a variable and why is it important in algebra?
  • How do you distinguish between dependent and independent variables?
  • Give an example of how substituting a value for a variable helps solve an equation.
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