Equivalent Expressions / Equivalent EquationsDate: 07/27/97 at 13:12:25 From: Anonymous Subject: Equivalent expressions and equivalent equations Dr. Math, Could you please explain the difference between equivalent expressions and equivalent equations? Thank you, Linda Date: 07/29/97 at 11:33:50 From: Doctor Rob Subject: Re: Equivalent expressions and equivalent equations Good question! This is often a source of confusion to students. Equivalent expressions have the same value for every possible value of the variables they include. 5*(x-4) and 5*x - 20 are equivalent expressions because no matter what the value of x, they are equal in value. Equivalent equations are ones such that the truth of one implies and is implied by the truth of the other. (y-2)^2 = 0 and y = 2 are equivalent equations, even though the expressions y and (y-2)^2 are not equivalent expressions. -Doctor Rob, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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