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Math Elementary Algebra

by Alecs Nulud
(Concepcion Tarlac)











































name the property illustrated in going from one step to the next. consider x,y and z as real numbers.
11.(3x+5)+(2x+7)=3x+(5+2x)+7

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Jun 14, 2011
Fundamental Properties of Real Numbers
by: Staff


The question:

by Alecs Nulud
(Concepcion Tarlac)


name the property illustrated in going from one step to the next. consider x,y and z as real numbers.

11.(3x+5)+(2x+7)=3x+(5+2x)+7



The answer:

Simplify the following expression:

(3x + 5) + (2x + 7)

Associative Law of Addition: Any series of addends (Any numbers being added are called addends) can be grouped in any way and added in any order without changing the results. This applies to all real numbers (including: fractions, decimals, and negative numbers).

= 3x + (5 + 2x) + 7



Commutative Property of Addition: Any two addends can be added in either order without changing the results.

Notice that the 5 + 2x has been reversed: 2x + 5

= 3x + (2x + 5) + 7


Associative Law of Addition: (Group like terms together)

= (3x + 2x) + (5 + 7)


Distributive Law: (factor x out of the expression 3x + 2x)

= x(3 + 2) + (5 + 7)

Now that x has been factored out of the expression, the coefficients (3 + 2) can be added

= x(5) + (12)

= 5x + 12


The final, simplified expression is:

= 5x + 12



Thanks for writing.

Staff
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