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How do you add like terms?

Updated: 4/28/2022
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12y ago

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To add like terms, find the terms that have the same (or no) variable, and combine the coefficients of the terms. For instance, if you have a+b where a and b are real numbers, you can combine them.

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Q: How do you add like terms?
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What are like terms in algebra?

Terms with the same variable(s). In like terms, you may add, subtract, multiply, or divide them. In the equation 3x - 5ax + 9x = 7ax, the 5x and the 10x are like terms because they both contain variables of the same value. Thus, we are allowed to add them up and get 12x. The -5ax and the 7ax are also like terms and if we add 5ax to both sides (after we add 3x to 9x), we'll get the equation 12x = 12ax.


How do you add like terms with squared variables for example 2x plus 4x2?

Terms like 2x and 4x2 are not like terms. In order for terms to be like terms, they must have the exact same variables with the exact same exponents on them. This means that 5x3 and 7x3 are like terms, but 2x and 4x2 are not. To add or subtract like terms, simply add or subtract the coefficients (the numbers in front) and keep the variable part the same. For example, 5x3 + 7x3 = (5 + 7)x3 = 12x3, and 3x2 + 6x2 = (3 + 6)x2 = 9x2. But, since 2x and 4x2 are not like terms, 2x + 4x2 = 2x + 4x2. It just cannot be simplified any more than that.


When combining like terms do you add or multiply?

When combining like terms, you could add and multiply. It depends on what the problem is. I am in 6th grade and currently learning algebra. I know that my answer is correct because I already learned this.


What are the rules for combining like terms?

When combining like terms like 2x+3x we add their coeffitients, for example 2x+3x=(2+3)x=5x


4v-7 plus 8v plus 4-5?

4v-7+8v+4-5 - add the like terms =12v-8 12v and 8 cannot be subtracted because they are not like terms. Like terms have the same variable.

Related questions

What do you do to combine like terms?

Add


How is the procedure for adding like terms is similar to the procedure for adding fractions?

Adding like terms can be like adding fractions. You can only add fractions with a common denomonator. You can only combine terms together if they are like. Think of like terms as denomonators. You can only add if they are like.


What are like terms in algebra?

Terms with the same variable(s). In like terms, you may add, subtract, multiply, or divide them. In the equation 3x - 5ax + 9x = 7ax, the 5x and the 10x are like terms because they both contain variables of the same value. Thus, we are allowed to add them up and get 12x. The -5ax and the 7ax are also like terms and if we add 5ax to both sides (after we add 3x to 9x), we'll get the equation 12x = 12ax.


How do you simplify by combining like terms?

You add (or subtract) like terms. This will reduce the number of terms in the expression and that is the extent of simplification that you can achieve using this process.


Is 12x and 5x like terms?

Yes, they are like terms because they are both order of x of the same degree and you can add them


Whatdo we do when adding monomials?

You add like terms together.


What are the rules in addition of polynomials?

Add together the coefficients of "like" terms. Like terms are those that have the same powers of the variables in the polynomials.


Meaning and terms in food selection and preparation?

it is a whole bunch of terms like bake, beat, or add


Solve this polyinomal 5x plus 6y plus 3y-2x?

5x + 6y + 3y - 2x you have to add like terms. add the y terms and then the x terms 9y + 3x this is your answer


Are 3x and 8x like terms?

Yes and they add up to 11x


When combining like terms do you add or multiply?

When combining like terms, you could add and multiply. It depends on what the problem is. I am in 6th grade and currently learning algebra. I know that my answer is correct because I already learned this.


How do you add like terms with squared variables for example 2x plus 4x2?

Terms like 2x and 4x2 are not like terms. In order for terms to be like terms, they must have the exact same variables with the exact same exponents on them. This means that 5x3 and 7x3 are like terms, but 2x and 4x2 are not. To add or subtract like terms, simply add or subtract the coefficients (the numbers in front) and keep the variable part the same. For example, 5x3 + 7x3 = (5 + 7)x3 = 12x3, and 3x2 + 6x2 = (3 + 6)x2 = 9x2. But, since 2x and 4x2 are not like terms, 2x + 4x2 = 2x + 4x2. It just cannot be simplified any more than that.