The method for adding terms depends on whether the terms are like or unlike.Adding Like Terms in Algebra
Like terms have the same variables (letters), each with the same exponents by them. The only difference is their coefficient (the number, or sometimes the letter, in front of them). 2a and 3a are like terms. They have the same letters (a), with the same exponents. The only difference is 2a has a coefficient of 2 while 3a has a coefficient of 3.
If terms are like terms, the terms are added by identifying the coefficients of the like terms and adding them together.
adding like terms in algebra
Adding Unlike Terms in Algebra
Unlike terms have different variables (letters) or different exponents. 2a and 3b are unlike terms. They have different variables (a in one, b in the other).
If terms are unlike, the terms are simply added using the + operator. The expression cannot be simplified any further.
Real Examples of How to Add Terms in Algebra
The following real examples show how to add terms in algebra. The method is slightly different depending on whether the terms are unlike or like, so the first step is always to identify whether terms are like or unlike.A Real Example of How to Add Like Terms in Algebra
Question
Add the two terms below.
Step-by-Step:
1
Check whether the terms are unlike or like.
In our example, the terms are like. They have the same variables (x and y), with the same exponents. The only difference is 3xy has a coefficient of 3 while 2xy has a coefficient of 2.
2
Identify the coefficients of the terms.
3
Add the coefficients together.
4
Make the number found in Step 3 (5) the coefficient of the term (xy).
Answer:
We have added the like terms together:
3xy + 2xy = 5xy
A Real Example of How to Add Unlike Terms in Algebra
Question
Add the two terms below.
Step-by-Step:
1
Check whether the terms are unlike or like.
In our example, the terms are unlike. They have different variables (x and y in one, a and b in the other).
2
Leave the terms added with the + operator. The expression cannot be simplified any further.
Answer:
We have added the like terms together:
3xy + 2ab = 3xy + 2ab
What Is a Like Term in Algebra?
Like terms are terms with the same combination of letters (and/or brackets). The only difference is the sign or number in front of the group of letters. Each letter (and/or bracket) in a like term must have the same exponents - the number that sits to the top-right of the letter.What Is a Term in Algebra?
A term is a collection of numbers, letters and brackets all multiplied together. Terms are separated by + or - signs in an algebraic expression.
This page was written by Stephen Clarke.
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