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### Course: 6th grade (Eureka Math/EngageNY) > Unit 4

Lesson 3: Topic D: Expanding, factoring, and distributing expressions- Expression value intuition
- Expression value intuition
- Expression value intuition
- Terms, factors, & coefficients
- Parts of algebraic expressions
- Terms, factors, and coefficients review
- Intro to combining like terms
- Combining like terms
- Combining like terms example
- Combining like terms
- Combining like terms with distribution
- Combining like terms with distribution
- Distributive property over addition
- Distributive property over subtraction
- Factor with the distributive property
- Factor with the distributive property (no variables)
- Distributive property with variables
- Distributive property with variables
- Create equivalent expressions by factoring
- Factor with distributive property (variables)
- Equivalent expressions
- Equivalent expressions

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# Terms, factors, and coefficients review

Review terms, factors, and coefficients, and try some practice problems.

## Terms

*Terms*are single numbers, variables, or the product of a number and variables.

**Examples of terms:**

$5$ $9a$ $y$ $\frac{c}{4}$ ${x}^{3}$

## Factors

A

*factor*is one part of a product.**Examples of factors:**

In the term $8x$ , the factors are $8$ and $x$ .

In the term $cde$ , the factors are $c$ , $d$ , and $e$ .

## Coefficients

A

*coefficient*is a number multiplied by a variable.**Examples of coefficients:**

In the term $14c$ , the coefficient is $14$ .

In the term $g$ , the coefficient is $1$ .

*Want to learn more about terms, factors, and coefficients? Check out this video.*

## Want to join the conversation?

- This algebra is quite hard. who thinks so, too ? 🦋(251 votes)
- glad im not the only one.(89 votes)

- What do they mean when they say terms in an expression(67 votes)
- Take a problem like 3a x 2b there are two terms right? because 3a is one and 2b is one so theirs two. have 3a x 2b x 5s x 3r there is 4 variables.(44 votes)

- can someone explain that beter and eayeser to me(20 votes)
**Term**is something that is being added together.**Factor**is something that is being multiplied together.**Coefficient**is a number that is being multiplied by the variable.*2x+6x+14*

The**2x**,**6x**, and**14**are terms because they are being added together.**2**and**x**;**6**and**x**are factors because they are being multiplied together.**2**from**2x**and**6**from**6x**are the coefficients because they are being multiplied by the variable.

Hope this helps(54 votes)

- If my teacher has us use a different method do you think I would get points off for using this?(24 votes)
- no,i dont think so(10 votes)

- is 1 the coefficiant in 1xyz+4(23 votes)
- So in the expression: 12x+ 19y -1, is the constant -1 or 1?(18 votes)
- The constant in the polynomial 12x + 19y - 1 is -1.

You include the sign that appears next to the number.

However, if it was 12x +19y +1 , then the constant will be +1 but in mathematics, the positive signs need not be written (if it is a number appearing on its own in an answer), so the answer for my above polynomial is 1.(20 votes)

- I thought a term was just one variable or just one coefficient. Is this true?(15 votes)
- No this is not true,a term is when u have a equation and for example 2+2 there is two terms because ur adding two numbers(18 votes)

- Whats the difference between a coefficient and a variable ?(12 votes)
- The value of coefficient does not change but the value of the term containing the variable and coefficient can change due to the change in the value of the variable. Hope you got it!(17 votes)

- I don’t really think the section describing terms is explaining it that well. Could I have some easier to understand examples?(15 votes)
- So basically, 2-4+7(g). There are 3 terms.(5 votes)

- so for example, in 7y, 7 is a coefficient and factor?(5 votes)
- Ya out it is because the 7 is being multiplied by the variable(y) and the 7 is factor cause it’s being multiplyed(6 votes)