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An algebraic expression is technically any mathematical form that contains a variable.

An expression is algebraic if it involves a finite combination of numbers and/or variables and algebraic operations (addition, subtraction, multiplication, division, or exponentiation [raising to a power]). Fractional exponentiation is equivalent to extracting a root. For example: sqr(9) = 9^(1/2) = 3.

Following are four examples of expressions:

9^(1/2)

5 + 2

x/y

[-b ± (b2 - 4ac)^(1/2)]/2a

Equations contain an "=" (equals) sign. Expressions do not.

Two important types of equations are:

  • linear equations : y = mx + b
  • quadratic equations: y = ax2 + bx + c
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8y ago

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