Like and Unlike Terms
Like and Unlike Terms
Like Terms:
When terms have the same algebraic factors, they are like terms or we can say like terms are terms that have the same variables and powers. The coefficients can be different so there is no need to match them.
Unlike Terms:
When terms have different algebraic factors they are unlike terms or we can say that Unlike terms are two or more terms that do not have the same variables or powers. The order of the variables does not matter unless they are different.
Factors of a term:
The expression consists of two terms
and -3xy.The term
is a product of 4, x, and x: we say that 4,x, and x are factors of the term
. A term is a product of its factors.
We can represent the terms and factors of the terms of an expression by a tree diagram.
Illustration: Find the factors of the expression using a tree diagram.
Solution: The terms and factors of the given expression are shown in the following tree diagram
Illustration: Find the factors of the expression using a tree diagram.
(i)
(iI)
Solution: The terms and factors of the given expression are shown in the following tree diagram
Illustration: In the expression 2xy-3x+5xy-4, find terms, factors and identify like and unlike terms.
Solution: In the given expression, terms are 2xy, -3x, 5xy, -4 .
The factors of 2xy are 2,x, and y.
The factors of 5xy are 5,x, and y.
Thus their algebraic factors are the same and hence they are like terms.
On the other hand the terms 2xy and -3x,
The factors of 2xy are 2, x and y
The factors of -3x are -3. x
Thus they have different algebraic factors. They are unlike terms.
Similarly, the terms,2xy and 4, are unlike terms. Also, the terms -3x and 4 are unlike terms.
Illustration: Identify the pair of like terms in the following
Solution:
are like terms because they have the same variables and power,
are like terms as the powers are same with respect to the variable even when the order of the variable is different .
are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.
Identify whether | |||
| Right Option : B | |||
| View Explanation | |||
State whether 1and 100 are of like or unlike | |||
| Right Option : A | |||
| View Explanation | |||
State whether -29x , -29y are Like or Unlike Terms | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [20]
Abhyas 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
10thIt 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
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
Shreya Shrivastava
8thAbhyas 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
10thWhen 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
7thMy 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
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
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.
Prisha Gupta
8thThird 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
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
10thMy experience with Abhyas academy is very nice or it can be said wonderful. I have been studying here from seven class. I have been completing my journey of three years. I am tinking that I should join Abhyas Academy in tenth class as I am seeing much improvement in Maths and English
Hridey Preet
9thAbhyas 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
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 Academy has been very good. When I was not in Abhyas whenever teacher ask questions I could not speak it confidently but when I came in Abhyas, my speaking skills developed and now I am the first one to give the answer of teachers question.
Upmanyu Sharma
7thMy 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
8thAbhyas is good institution and a innovative institute also. It is a good platform of beginners.Due to Abhyas,he has got knoweledge about reasoning and confidence.My son has improved his vocabulary because of Abhyas.Teacher have very friendly atmosphere also.
Manish Kumar
10thAbhyas is an institute of high repute. Yogansh has taken admission last year. It creates abilities in child to prepare for competitive exams. Students are motivated by living prizes on basis of performance in Abhyas exams. He is satisfied with institute.
Yogansh Nyasi
7thMy 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
8thWe 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.
