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 the following algebraic expressions : pq - qr, qr - rp, rp - qp | |||
| Right Option : D | |||
| View Explanation | |||
Simplify : 5a + 2a + 3a = | |||
| Right Option : C | |||
| View Explanation | |||
Add: | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [20]
Third consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
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
10thAbhyas academy is great place to learn. I have learnt a lot here they have finished my fear of not answering.It has created a habit of self studying in me.The teachers here are very supportive and helpful. Earlier my maths and science was good but now it has been much better than before.
Barkha Arora
10thWe started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
Manya
8thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thAbout 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
8thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thBeing 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.
Prisha Gupta
8thMy 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
8thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
Aman Kumar Shrivastava
10thIt 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
8thMy 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
8thUsually we see institutes offering objective based learning which usually causes a lag behind in subjective examinations which is the pattern followed by schools. I think it is really a work of planning to make us students grab the advantages of modes of examination, Objective Subjective and Onli...
Anika Saxena
8thAbhyas 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
10thOne 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
10thMy 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
7thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thWhen I have not joined Abhyas Academy, my skills of solving maths problems were not clear. But, after joining it, my skills have been developed and my concepts of science and SST are very well. I also came to know about other subjects such as vedic maths and reasoning.
Sharandeep Singh
7thAbhyas 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.
