Equivalent+Expressions

__**Equivalent Expressions**__
by: James & Mr. Rochester

We know expressions are equivalent when the value of the two expressions all always the same.

Example:

math \frac{21a+3b-9c}{3} math We can get an equivalent expression by simplifying.

math \frac{21a+3b-9c}{3}=\frac{21a}{3}+\frac{3b}{3}+\frac{-9c}{3} math

21 divided by 3 equals 7, 3 divided by 3 equals1, 9 divided by 3 equals to 3, So an equivalent expression for

math \frac{21a+3b-9c}{3} math

Would be, math 7a+1b-3c math

We can double check that these expressions are equivalent by substituting values such as a=1, b=1, and c=1 into both equations. Doing this would give the following results:

math \frac{21a+3b-9c}{3}=\frac{21(1)+3(1)-9(1)}{3}=\frac{21+3-9}{3}=\frac{15}{3}=5 math

Which should be equivalent to math 7a+1b-3c = 7(1)+1(1)-3(1) = 7+1-3=8-3=5 math

And yes we have further proof that both expressions are equivalent because when a=1, b=1, and c=1 both expressions were equal to 5.

edited by Mr. Rochester

edited by gina 10..One square feet is equivalent to 3 square yards. o False

examples: this isnt correct because 1 yard equals 3 feet. so three sq yards wouldnt add up to one sq ft.