Subscribe to our YouTube channel for the latest videos, updates, and tips.
Addition of Like Terms
The rules of addition of like terms are:
Rule I: When all the terms are positive, add their coefficients, also the variables and power of the like terms remains the same.
Examples:
1. 5xy, 4xy and xy.
Here, 5xy, 4xy and xy are like terms
The sum of the coefficients = 5 + 4 + 1 [xy means 1xy]
Therefore, 5xy + 4xy + xy = 10xy
Note:
To add two or more like terms, we add the numerical coefficients of the given terms and form another like term with the sum obtained as the numerical coefficient of the resulting term.
2. 5x + 4x + 2y + 3y
Here, 2x and 3x are like terms
and also 6y and 5y are like terms
5x + 4x = 9x
2y + 3y = 5y
Therefore, the answer is 9x + 5y
Here, 3x3 + 7x3 are like terms
And also 4y2 + 7y2 are like terms
3x3 + 7x3 = 10x3
4y2 + 7y2 = 11y2
Therefore, the answer is 10x3 + 11y2
Rule II: When all the terms are negative, add their coefficient without
considering their negative signs and then prefix the minus sign (-) to
the sum.
Examples:
1. -3ab, -5ab and -ab
Without considering the negative signs, the coefficients of the given terms are 3, 5 and 1 respectively; and 3 + 5 + 1 = 9.
Therefore, addition of -3ab, -5ab and –ab = -9ab
i.e. (-3ab) + (-5ab) + (-ab) = -9ab
2. -5x + (-4x) + (-2y) + (-3y)
Here, -5x and -4x are like terms
and also -2y and -5y are like terms
(-5x) + (-4x) = -9x
(-2y) + (-3y) = -5y
Therefore, the answer is -9x - 5y.
Rule III: When all the terms are not of same sign. The same rule as that for the addition of integers should be applied.
Examples:
1. Addition of 21m and –9m
= 21m + (-9m)
= 21m - 9m
= m(21 - 9)
= 12m
2. 9xy – 4xy – 5xy + 7xy – xy
= 5xy – 5xy + 7xy – xy
= 0 + 7xy – xy, [since, 5xy – 5xy = 0]
= 6xy.
● Terms
Adding and Subtracting Like Terms
Algebra Page
6th Grade Page
From Addition of Like 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.
Recent Articles
-
8 Times Table | Multiplication Table of 8 | Read Eight Times Table
May 18, 25 04:33 PM
In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40 -
Worksheet on Average | Word Problem on Average | Questions on Average
May 17, 25 05:37 PM
In worksheet on average interest we will solve 10 different types of question. Find the average of first 10 prime numbers. The average height of a family of five is 150 cm. If the heights of 4 family -
How to Find the Average in Math? | What Does Average Mean? |Definition
May 17, 25 04:04 PM
Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities. -
Problems Based on Average | Word Problems |Calculating Arithmetic Mean
May 17, 25 03:47 PM
Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed. -
Rounding Decimals | How to Round a Decimal? | Rounding off Decimal
May 16, 25 11:13 AM
Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate
● 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
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.