Addition of Algebraic Expression
Addition of Algebraic Expression
In addition of algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.
To add two or more monomials that are like terms, add the coefficients; keep the variables and exponents on the variables the same.
When we add two algebraic expressions, the like term are added, the unlike terms are left as they are. Hence the sum of like terms 5x and 2x add to 7x.
Illustration: Simplify 13x + 7y − 2x + 6a
Solution: 13x + 7y − 2x + 6a
The only like terms in this expression are13x and −2x. We cannot do anything with the 7y or 6a.
So we group together the terms we can subtract, and just leave the rest:
(13x − 2x) + 6a + 7y
= 6a + 11x + 7y
NOTE : Two ways to solve addition of algebraic expressions.
Horizontal Method:
In this method, all expressions are written in a horizontal line and then the terms are arranged to collect all the groups of like terms and then added.
Column Method:
In this method each expression is written in a separate row such that there like terms are arranged one below the other in a column. Then the addition of terms is done column wise. Examples on addition of algebraic expressions:
Illustration: Add: 6a + 8b - 7c, 2b + c - 4a and a - 3b - 2c
Solution Horizontal Method:
(6a + 8b - 7c) + (2b + c - 4a) + (a - 3b - 2c)
= 6a + 8b - 7c + 2b + c - 4a + a - 3b - 2c
Arrange the like terms together, then add. Thus, the required addition
= 6a - 4a + a + 8b + 2b - 3b - 7c + c - 2c
= 3a + 7b - 8c
Solution Column Method: Writing the terms of the given expressions in the same order in form of rows with like terms below each other and adding column wise;
Illustration. Add: 5x² + 7y - 8, 4y + 7 - 2x² and 6 – 5y + 4x².
Solution: Writing the given expressions in descending powers of x in the form of rows with like terms below each other and adding column wise;
Add | |||
| Right Option : A | |||
| View Explanation | |||
Add: a + b - 3, b - a + 3, a - b + 3 | |||
| Right Option : D | |||
| View Explanation | |||
Add: 3mn , - 5mn , 8mn , - 4mn | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
About Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
