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Title: 1. Algebra Addition of Algebraic Expressions
Description: This file contains sample problems and step-by-step explanatory solutions for adding algebraic expressions.
Description: This file contains sample problems and step-by-step explanatory solutions for adding algebraic expressions.
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04 - 17 - 23
ALGEBRA: Addition of Algebraic Expressions
(Sample Problems & Solutions) - Part 002
1
...
6�2 + 1
...
3 , 8
...
2� + 0
...
1�2 −
0
...
0
...
6�2 + 1
...
3 + 8
...
2� + 0
...
1�2 − 0
...
0
Remove all parenthesis for simplifying the expressions as
follows,
0
...
2� − 0
...
1�2 − 7
...
4 − 1
...
7� + 1
...
��� + 1
...
3 + �
...
2� + 0
...
��� − 0
...
0
�
...
2� − 0
...
2� + 0
...
7� + 1
...
6�2 + �
...
3 − �
...
4 − �
...
0
7
...
�� − 0
...
4 + 1
...
6�2 − 6
...
�
7
...
7� + �
...
��� −
�
...
What is the sum of the following expressions:
1
3
2
� − 1 and − �2 − � + 4
...
3
...
Solution:
Add up all the three algebraic expressions as follows,
3�3 − 1 + 4�2 + � + 3 + �3
Then, indicate the expressions with similar variables and add
them all as follows,
��� − 1 + 4�2 + � + 3 + ��
��� − 1 + 4�2 + � + 3
4�3 − � + 4�2 + � + �
4�3 + 4�2 + � + �
Therefore, the sum of the given algebraic expressions is ��� +
��� + � + �
...
What is the sum of the following:
and 4�2 − 3 3� + 2
...
5
...
5 2
�
6
− 3� + 1 , � −
6
7
, and
�+
3�2 +
Solution:
Add up all the given algebraic expressions as follows,
5 2
6
� − 3� + 1 + � − +
6
7
3�2 + 3
Then, indicate the expressions with similar variables and add
them all as follows,
� �
6
� − 3� + 1 + � − + ��� + 3
�
7
�
6
+ � �� − 3� + 1 + � − + 3
�
7
�+� � �
6
� − 3� + 1 + � − + 3
�
7
5+6 3 2
6
� − �� + 1 + � − + 3
6
7
5+6 3 2
6
� + �− � �+1− + 3
6
7
5+6 3 2
�
� + 1− 3 �+�− + �
6
�
5+6 3 2
�−�+� �
� + 1− 3 �+
6
�
5+6 3 2
�+� �
� + 1− 3 �+
6
�
Therefore, the sum of the given algebraic expressions is
�+� �
�
�� + � − � � +
�+� �
�
Title: 1. Algebra Addition of Algebraic Expressions
Description: This file contains sample problems and step-by-step explanatory solutions for adding algebraic expressions.
Description: This file contains sample problems and step-by-step explanatory solutions for adding algebraic expressions.