# Algebraic Expressions - Terms

May 28th, 2015
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An equation is a complete mathematical sentence that includes a sign of equality (like an equal sign). An expression is a mathematical sentence; it doesn't have an equal sign.An expression is made up of terms. Terms are each separate values

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Algebraic ExpressionsOkay, let's clear this up:Anequationis acompletemathematical sentence that includes a sign of equality (like an equal sign).Anexpressionis a mathematical sentence;it doesn't have an equal sign.ExpressionEquation5 + 25 + 2 = 73x3x = 154(5 + 8x)4(5 + 8x) = -44Let's break it down further.An expression is made up of terms.Termsare each separate values in an expression. They can be separated by operations, like plus and minus signs.There are three parts of most expressions: the variable, constant, and coefficient.Variable: an unknown or changing number. Often represented by x.Constant: a number that doesnt changeCoefficient: the number that is multiplied by the variableNames for algebraic expressionsmonomial1 Termxybinomial2 Termsxy - 2xtrinomial3 Termsxy - 2x + 3yquadnomial4 Termsxy - 2x + 3 y 1Here is a chart of common phrases.Common Words and Phrases for:AddSubtractMultiplyDivideEqualsplusaddsummore thanin addition togreater thantotalanddifferencesubtractless thantake awayproductoftimestwice (2)factordivided byquotientsplitsharedistributeisIn these translations we will use the letter x to represent the variable, though any letter, symbol, or emoticon would work. Smiley faces and hearts, anyone?Expression in WordsExpression in Symbolsa number increased by twelvex + 12the sum of twice a number and six2x + 6eighty less than a numberx 80twe

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