Like and Unlike Terms

How like and unlike terms are different from each other?

The terms which have the same literal coefficients raised to the same powers but may only differ in numerical coefficient are called similar or like terms.

For example:

(i) 3m and –7m are like terms

(ii) z and  3/2 z are like terms


The terms which do not have the same literal coefficients raised to the same powers are called dissimilar or unlike terms.

For example:

(i) 9p and 9q are unlike terms

(ii) x/3 and y/3 are unlike terms


Solved examples on like and unlike terms:

1. In algebraic expression 5x2y + 4xy2 – xy – 9yx2

Here, the like terms are 5x2y, – 9yx2 since each of them having the same literal coefficients x2y.

And the unlike terms are 4xy2, – xy since each of them having the different literal coefficients.



2. In algebraic expression 5x2 – 3y2 – 7x2 + 5xy + 4y2 + x2 – 2ab

Here, the like terms are 5x2, – 7x2, x2 and – 3y2, 4y2.

And the unlike terms are 5xy and – 2ab



3. Separate like & unlike terms from algebraic expression 5m2 – 3mn + 7m2n.

Here we see that all the terms of the given expression are unlike.


4. List out the like terms from each set:

(i) 7a, -5a, -8b, -a, a/3

7a, -5a, -a, a/3 are the set of like terms.

(ii) –xy, 3y, 5xy, -x, -xy/11

–xy, 5xy, -xy/11 are the set of like terms.

(iii) 2p3q2, -4p2q3, 7q2p3, -2p3q2

2p3q2, 7q2p3, -2p3q2 are the set of like terms.

(iv) 2x2y, 3x3y, 2xy2, 4yx2, -2x2y, -3yx2

2x2y, 4yx2, -2x2y, -3yx2 are the set of like terms.

(v) a2b3, -5a3b2, 7a3b2, 11a3b3, -3b2a3

-5a3b2, 7a3b2, -3b2a3 are the set of like terms.

Note: We can add or subtract like terms but in case of unlike terms we cannot add or subtract.

Terms

Like and Unlike Terms

Like Terms

Addition of Like Terms

Subtraction of Like Terms

Adding and Subtracting Like Terms

Unlike Terms

Addition of Unlike Terms

Subtraction of Unlike Terms







Algebra Page

6th Grade Page

From Like and Unlike Terms to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Fundamental Geometrical Concepts | Point | Line | Properties of Lines

    Apr 18, 24 02:58 AM

    Point P
    The fundamental geometrical concepts depend on three basic concepts — point, line and plane. The terms cannot be precisely defined. However, the meanings of these terms are explained through examples.

    Read More

  2. What is a Polygon? | Simple Closed Curve | Triangle | Quadrilateral

    Apr 18, 24 02:15 AM

    What is a polygon? A simple closed curve made of three or more line-segments is called a polygon. A polygon has at least three line-segments.

    Read More

  3. Simple Closed Curves | Types of Closed Curves | Collection of Curves

    Apr 18, 24 01:36 AM

    Closed Curves Examples
    In simple closed curves the shapes are closed by line-segments or by a curved line. Triangle, quadrilateral, circle, etc., are examples of closed curves.

    Read More

  4. Tangrams Math | Traditional Chinese Geometrical Puzzle | Triangles

    Apr 18, 24 12:31 AM

    Tangrams
    Tangram is a traditional Chinese geometrical puzzle with 7 pieces (1 parallelogram, 1 square and 5 triangles) that can be arranged to match any particular design. In the given figure, it consists of o…

    Read More

  5. Time Duration |How to Calculate the Time Duration (in Hours & Minutes)

    Apr 17, 24 01:32 PM

    Duration of Time
    We will learn how to calculate the time duration in minutes and in hours. Time Duration (in minutes) Ron and Clara play badminton every evening. Yesterday, their game started at 5 : 15 p.m.

    Read More

Terms - Worksheets

Worksheet on Like and Unlike Terms

Worksheet on Addition of Like Terms

Worksheet on Subtraction of Like Terms

Worksheet on Adding and Subtracting Like Terms

Worksheet on Combining Like Terms

Worksheet on Addition of Unlike Terms

Worksheet on Subtraction of Unlike Terms