Summary. Like terms are terms that have exactly the same variable and power in them—whether that’s x, x3, y, or even no variable! So, for example, 2x and 3x would be like terms since they both have the variable x and they’re both to the first power.
Is 3x and 2x 2 like terms?
Solution: Here 3x and 2x are like terms because they have same base(x).
Does 2x have like terms?
Terms whose variables (such as x or y) with any exponents (such as the 2 in x2) are the same. Examples: 7x and 2x are like terms because they are both “x”.
Is a like term of 3x?
“Like terms” refers to individual terms that have the same variable in them. Also, the variable in any “like terms” is raised to the same power. For example: 3x and 10x are like terms (both have the variable x, raised to the 1st power).
Is x2 and 2x are like terms?
x2 does not equal 2x
These terms are like terms, and are combined by adding their coefficients.
Are 3x and 5x like terms?
For instance 3x and 5x and 11x are all like terms. The coefficients ( the ‘3’ in 3x, ‘5’ in 5x and ’11’ in 11x) do not have anything at all to do with whether or not the terms are like. All that matters is that each of ‘x’ factors or ‘bases’ have the same exponent.
Are these like terms?
For instance 3x and 5x and 11x are all like terms. The coefficients ( the ‘3’ in 3x, ‘5’ in 5x and ’11’ in 11x) do not have anything at all to do with whether or not the terms are like. All that matters is that each of ‘x’ factors or ‘bases’ have the same exponent.
What are not like terms?
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
What are like terms examples?
Like terms contain the same variable which is raised to the same power. For example, 5x + 10x is an algebraic expression with like terms.
How do you identify like terms?
Like terms contain the same variable which is raised to the same power. For example, 5x + 10x is an algebraic expression with like terms.
How do you know if two terms are like or unlike?
Like terms contain the same variable which is raised to the same power. For example, 5x + 10x is an algebraic expression with like terms.
What are like and unlike terms give examples?
Like terms : The terms having the same literal (variable) with same exponents are called Like terms. Example: 1) 12x and -5x 2) 4x2 and ½ x2. Unlike terms : The terms having the same variable with different exponents or different variable with same exponents are called Unlike terms. Example : 1) 5x and 5y 2) 2x2 and 3y …
What do you mean by like terms?
In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions so that the result of the expression can be obtained very easily.
Are XY and YX like terms?
Yes, xy and −yx are like terms . Hence the given statement is true.
What is a like terms in math?
Like terms share the same letter(s) and power(s), eg 𝑥 or 𝑥² Algebraic expressions can be collected together if they are like terms. This is done by adding or subtracting.
Is 2x the same as double?
Firstly, they all mean exactly the same. 2X is used informally and sometimes in technical writing as a convenient abbreviation to avoid verbosity. 2 times highlights the number 2 and may be used to standardise writing instead of using the special twice if there are other numbers involved (5 times, 8 times).
References:
- https://schooltutoring.com/help/algebra-operations-on-like-terms/
- https://www.mathsisfun.com/definitions/like-terms.html
- https://www.webmath.com/liketerms.html
- https://www.purplemath.com/modules/polydefs2.htm
- https://www.mathwarehouse.com/algebra/like-terms/how-to-combine-like-terms-in-math.php
- https://www.youtube.com/watch?v=hsm99I7bEa8
- https://en.wikipedia.org/wiki/Like_terms
- https://www.vedantu.com/maths/like-terms
- https://www.youtube.com/watch?v=g29FVg8sB4M
- https://www.youtube.com/watch?v=Jw-toLAUqPg
- https://www.ask-math.com/like-and-unlike-terms.html
- https://byjus.com/maths/like-and-unlike-algebraic-terms/
- https://www.toppr.com/ask/question/state-whether-true-of-false-xy-and-yx-are-like-terms/
- https://www.bbc.co.uk/bitesize/topics/z9yb4wx/articles/zkvxh39
- https://english.stackexchange.com/questions/26038/2-times-twice-and-2x-when-to-use-which-and-why