Do You Combine Like Terms Or Distribute First?

What is it called when you combine like terms?

Like terms are terms that contain the same variables raised to the same power.

To combine like terms, we add the coefficients and keep the variables the same.

We can’t combine unlike terms because that’s like trying to add apples and oranges!.

How do you combine like terms and simplify?

Like terms are combined together in algebraic expression so that the result of the expression can be calculated with ease. For example, 7xy + 6y + 6xy is an algebraic equation who’s like terms are 7xy and 6xy. Therefore, this expression can be simplified by combining like terms as 7xy + 6xy + 6y = 13xy + y.

Do you combine like terms before Pemdas?

For example, you have an expression: 4x + (3x +2) = 9. In this problem you can’t do anything inside the parenthesis so you can drop them, and combine like terms. The new expression would be 7x + 2 = 9…. … Once you have done the first four, combining like terms comes with addition and subtraction.

How do you distribute a property?

Distributive property with exponentsExpand the equation.Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set.Combine like terms.Solve the equation and simplify, if needed.

How do you distribute Binomials?

How to Distribute BinomialsBreak the first binomial into its two terms.Distribute each term of the first binomial over the other terms. Distribute the first term over the second binomial, and distribute the second term, which is 1, of the first binomial over the second binomial.Multiply the terms.Simplify and combine any like terms.

What are the like terms 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).

What are the rules for combining like terms?

A common technique for simplifying algebraic expressions. When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.

How do you use the distributive property and then combine like terms?

Combining Like TermsStep 1: Apply the distributive property wherever you have parentheses. The first step you need to do is to apply the distributive property. … Step 2: Combine your terms. Now that you’ve taken care of your parentheses, you can now go ahead and combine your like terms.

How do you distribute terms?

To distribute a term over several other terms, you multiply each of the other terms by the first term. Distribution involves multiplying each individual term in a grouped series of terms by a term outside of the grouping. A term is made up of variable(s) and/or number(s) joined by multiplication and/or division.

How do you distribute variables?

Combine the variables by using the rules for exponents. Multiply each term by 5x. Then multiply the numbers and the variables in each term….How to Distribute VariablesDistribute the term outside the parentheses over the terms within.Add the exponents.Complete the distribution.

When solving an equation with distributing and combining like terms the first step is to?

First, write an equation. First, apply the distributive property to the left side of the equation. Next, add the like terms on the left side of the equation. Then, subtract 6 from both sides.

Can you combine like terms with multiplication?

When adding or subtracting terms in an expression, you can only combine like terms, which are composed of only the same variables. However, you can multiply or divide terms whether they are like terms or not. … It is also helpful to remember that when multiplying like variables together, you add the exponents.