What do they mean when they say terms in an expression

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.

can someone explain that beter and eayeser to me

*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

So in the expression: 12x+ 19y -1, is the constant -1 or 1?

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.

I thought a term was just one variable or just one coefficient. Is this true?

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

I don’t really think the section describing terms is explaining it that well. Could I have some easier to understand examples?

So basically, 2-4+7(g). There are 3 terms.

Whats the difference between a coefficient and a variable ?

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!

Main content

MAP Recommended Practice

Course: MAP Recommended Practice > Unit 17

Lesson 12: Parts of algebraic expressions

Terms, factors, and coefficients review

Google Classroom

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:

$5$ ‍
$9 a$ ‍
$y$ ‍
$\frac{c}{4}$ ‍
[How is this a product?]
$x^{3}$ ‍
[How is this a product?]

Factors

A factor is one part of a product.

Examples of factors:

In the term

8 x

, the factors are

8

and

x

In the term

c d e

, the factors are

c

d

, and

e

Coefficients

A coefficient is a number multiplied by a variable.

Examples of coefficients:

In the term

14 c

, the coefficient is

14

In the term

g

, the coefficient is

1

[Wait, why?]

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

Practice

Problem 1

What is the coefficient of the term $7 y$ ‍ in the expression $9 + 7 y$ ‍?

Want to try more problems like this? Check out this exercise.

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- c.wetherbee
  Posted 5 years ago. Direct link to c.wetherbee's post “Take a problem like 3a x ...”
  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.
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can someone explain that beter and eayeser to me
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- rinieluvathingal
  Posted 4 years ago. Direct link to rinieluvathingal's post “*Term* is something that ...”
  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
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Shreya Agrawal
Posted 6 years ago. Direct link to Shreya Agrawal's post “I thought a term was just...”
I thought a term was just one variable or just one coefficient. Is this true?
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- Yasmin Delhoum
  Posted 5 years ago. Direct link to Yasmin Delhoum's post “No this is not true,a ter...”
  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
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So in the expression: 12x+ 19y -1, is the constant -1 or 1?
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- PakMaths
  Posted 6 years ago. Direct link to PakMaths's post “The constant in the polyn...”
  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.
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- ALC12344
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  no,i dont think so
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yes yes very hard give me 20 votes pls
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Posted a year ago. Direct link to Maryy <3's post “Whats the difference betw...”
Whats the difference between a coefficient and a variable ?
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- Yellowmonkey1169
  Posted a year ago. Direct link to Yellowmonkey1169's post “The value of coefficient ...”
  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!
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murrabn
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is 1 the coefficiant in 1xyz+4
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- 💙✨SoKeefe✨💙
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  Yes it is! :)
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Bonet, Aimee
Posted 6 years ago. Direct link to Bonet, Aimee's post “I don’t really think the ...”
I don’t really think the section describing terms is explaining it that well. Could I have some easier to understand examples?
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- EeshaaniV
  Posted 7 months ago. Direct link to EeshaaniV's post “So basically, 2-4+7(g). T...”
  So basically, 2-4+7(g). There are 3 terms.
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