Unit of Addition
Algebra Help: Section 2.5
Learn to apply the unit of addition.
The Unit of Addition is
the quantity whose coefficients are added.
In the example, 3x
- 4x
+ 7x
= 6x
,
the unit of addition is x
. Obtain the result, 6x
,
by uniting the coefficients of x
into one number.
Dissimilar terms may often be added, by making some common letter or letters the unit of addition.
1. What is the sum of ax
, bx
and cx
?
OPERATION:
ax
bx
cx
____________ (a
+b
+c
)x
ANALYSIS -
We make the common letter, x
, the
unit of addition.
Therefore a
times x
, b
times x
, and c
times x
,
must equal x
multipled by the
sum of a
plus b
plus c
.
Since
a, b
, and c
are dissimilar,
to indicate
their addition, enclose the sum in parenthesis.
Write the coefficient as x
, and the sum within parenthesis.
32
32
Help with Algebra Homework
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New Elementary Algebra
containing the rudiments of the science for schools and academies.
By Horation N Robinison, LL. D. Ivison, Blakeman & Company, Publishers, New York and Chicago.