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How to identify terms, like terms , coefficients, constant & Simplify Algebraic expressions
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Feb 19, 2025
Simplifying algebraic expressions ( pre algebra )
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so now we talking about
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simplifying algebraic expressions right
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this is section 4.2 we talked about the
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distributive law and I saw your homework
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most of you guys that handed your
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homework did excellent so I'm I'm
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thinking we understand this chapter so
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section 4.2 is not going to be hard if
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you pay attention yes what's your
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question
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I uh not yet I I did it but I you don't
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have it back here so all right so so now
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we going to learn how to simplify
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expressions okay so what's an expression
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an expression is pretty
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much what you see on the board right I
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wrote an expression and it's called an
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algebraic expression because you have
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variables and you also have numbers
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right so what I have here is
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3x + what
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7 + x + two now there's new vocabulary
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that you going to run and the new thing
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that you need to understand terms you
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need to understand the term terms you
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need to know coefficient you need to
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know constant and you need to know like
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terms so we're going to go through the
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process and I'm going to explain each
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one of them okay so now if you look here
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on this expression that I have how many
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terms do I have and how do you recognize
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a term yes sir isn't like a term number
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a term is pretty much a number that is
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before or after the signs the addition
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and the
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subtraction right now here I have four
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terms first one is what
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3x next is
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seven another one is X and the last one
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is two so I counted four terms in here
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one 2 three and four so those are your
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terms right the terms are in between
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your addition or your subtraction or
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whatever the operation is so these are
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the terms okay does that make sense so
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you going to understand what terms right
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yeah I'm a little bit confused about the
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term yeah okay so this is called an
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expression does that make sense all
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right now in you have the expression so
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you have in this expression within this
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expression you have terms right terms
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are numbers and variables or whatever is
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before a variable here right so I have
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how many signs do I have one two three I
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have addition addition addition right
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and in between I have some numbers and
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variables so this is called a term 3x is
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called a term another term is seven
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right so one if I have 1 + 2 let's say I
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have 1 + 2 how many terms do I have here
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two two one and what two so those are
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called terms does that make sense so the
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terms are just uh numbers or variables
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before and after the sign so we have one
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two and three and four does that make
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sense now okay and the next thing you
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need to learn is coefficient coefficient
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right now the coefficient I give you the
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definition is the number before what um
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the variable so what is the variable
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here x right so the coefficient is the
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number before the variable yes can
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you yes what do you need to calculator
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now just what finishing your homework
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you better know you're doing your
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homework oh no you don't do homework now
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you following you listening right so
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your coefficient is a number before the
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variable right so now how many variabl
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do I have here two two one is 3x and
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another one is X right so now what's the
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coefficient of 3x what would it
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be 3x three three is the number that's
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before or in front of the variable is
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three right does that make sense yes now
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now the next one is a little bit tricky
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I have X so what is before x s when
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there's nothing what do we have nothing
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one one anytime y y ZB is not just y y
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means basically one y z means one Z and
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then b means 1 B so we don't usually say
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1 B we just say B right but if you don't
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have any number before a varable what
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you have is always a one does that make
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sense yes or no yes all right yes so
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here the coefficient of x is going to be
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what one because even though there's
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nothing there's not nothing there is
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something and that something is what one
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One X is the variable right and then one
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is the constant is the coefficient now
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does that make sense yes so the next
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thing that we going to learn is how do
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you identify like terms right like terms
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are really important because if you
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don't know your like terms this is going
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to be hard for you to do right now here
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in this classroom we can create like
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terms right so if I say all the girls on
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one side you guys are all going to go
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right here right if I say all the boys
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on the left side you're all going to go
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here so girls are like terms because you
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are girls and then boys are like terms
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boys does that make sense yes so this is
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how you differentiate the like term so
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here I have an expression again how many
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terms do I have
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here three terms three right
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3x 4 Y and then what
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4x now what is the coefficient of
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3x three what's the coefficient of 4 Y
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and what's the coefficient of 4X four
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right so this is how you recognize that
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now the like term terms now are the
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terms that are
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similar so here I have 3x + 4 Y and 4x
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so what are my like terms I have
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3x and 4x because they look the same
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right anything with X is the like term
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with another one with X does that make
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sense so here I only have two like terms
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3x and 4x are 4 Y and 4x like terms I go
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why not because the Y is in front of the
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the why right they cannot be like terms
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so it's like mixing cats and dogs that's
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not happen right so 3x + 4 y + 4x the
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like terms here are 3x and 4x does that
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make sense okay now the second thing we
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need to learn before we get there I give
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you another term you have
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5x + 2 + 7 x - 1 how many terms will
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have how many terms three Count Me one
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which one this one wait what count count
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the terms
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one oh I thought was um two three four
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five four terms does that make sense
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yeah now how many like terms do I have
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here yes um two okay first ones 5 x and
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7 and then uh what and then have five7
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oh and then two and one 1 right so those
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are like terms because 5x and 2 cannot
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be like terms they're not the same does
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that make sense to everybody no I don't
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get it all right so you know what the
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like terms is right the like so here I
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have four terms correct 5x 2x 5x 2 7x
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And1 so what terms here look the same
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the 5x and the 7 x and they also the
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they have an X right they have an X and
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then the two and the netive one they
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don't have anything they're just numbers
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they still like terms yes sir how is
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that one cuz there's nothing in between
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it's minus onega 1 oh we can call1 minus
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one all right so two and then negative
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one are like terms as well does that
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make sense yeah okay so now the second
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thing we need to know is uh here how
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would you identify the like terms so
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somebody help me here so I have -4x + 2
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y + 3x - 6 y so yeah what are the like
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terms so -4x and
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3X okay y and6 y so that's it so you
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only have two like terms here -4x and 3X
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and then 2 Y and then -6 y does that
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make sense M all right and the last
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thing that we going to learn is how do
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you identify terms like terms
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coefficient and constant now is all the
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one right so we talked about the
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terms the like terms then coefficients
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and then constant yes sir please go and
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drink water yeah go that way all right
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so now I have 6
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x - 2 y + x - 5 first how many terms do
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I
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have how many terms do I have four four
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count done 6 uhhuh -2 y x and right so
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that's four terms now how many like
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terms do I have
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here yeah
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6X and then x x that's it is there
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anything else that's Al like no no and
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then now the next thing is how many
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coefficients do I
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have so how do you recognize a
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coefficient again what are they by
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definition numbers before X numbers
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before the variable right it could be
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before X or before y so how many do I
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have
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here if you look three have six right
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and then what
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-2 and then we have we don't have
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anything here we say what is it one one
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right does that make sense yeah okay and
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then the last thing is constant what is
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the constant by definition the constant
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is what numbers with what no so how many
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do I have
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here yeah numbers with what no variable
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so how many do I have
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here one one which is five five right so
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the only con here is5 so this chapter is
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really really easy if you really pay
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attention you get it done right so now
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we've just learned the basics so we just
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learned how to identify terms the like
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terms
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coefficients
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constant that's going be important
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because once you understand how to do
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this the next thing is now we're going
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to learn how to combine like terms and
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simplify algebraic expressions so the
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first step is just identifying this so
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we can stop now we can stop it and then
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we going to do some work I'm going to
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have guys work on a couple problems and
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then tomorrow we're going to work on
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simplifying these Expressions but first
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let's do let's do that so you can you
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can shut shut it down