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GED Math – Algebraic Statements! | Get Sum Math | YouTubeToText
YouTube Transcript: GED Math – Algebraic Statements!
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Video Transcript
in this video we'll talk about algebraic statements
statements
which is basically going from a string
of words to math symbols
in the first example here go ahead and
write out these words
and i would encourage you to pause the
video and write out as many words that
you can think of that mean the same thing
thing
underneath each of them for instance add plus
plus
or maybe increased subtract might be decrease
decrease
multiply times and divide split
something like that
assuming you have we'll just write out
the list
add is sum plus more than increased
combined or together
subtract minus less than difference reduce
reduce
decreased viewer take away multiply can
mean any of these
i would put a little star by product and
then if you have
twice or double that would multiply it
by two
triple multiply by three you can see
this is not
a complete list it's just the heavy
hitters the main ones that show up
of is usually used in percent problems
so if it's like 30
of people it's going to mean 30 times them
them
and then two-thirds of something it's
used for fractions
you would also multiply 2 over 3 times something
something
finally divide i would put a star by quotient
quotient
but it could also be half divide by 2
goes into shared or split and then
lastly let's go ahead and put little
dots next to these two
less than and fewer these are special cases
cases
we also want to use symbols to represent
these things as well
what symbol could we use to represent a number
number
maybe you were thinking x y and
z anything that is a letter can
represent a number right think of
i had n doughnuts earlier you just don't
want to admit it you know it's a number
but you don't want to say it so that's
why these are just representing
something as a placeholder
and as an example let's say twice a number
number
well we already discussed twice means
times 2 a number
so you could just mush them together 2x
2 and 2y all mean twice a number
is is always going to mean equals so
you'll actually put an equal sign in the
problem i know it seems kind of strange
but we'll do that
and quantity is going to be parentheses
for instance
if you saw twice the quantity of a
number plus 3
let's just go ahead and write it twice
as times 2
quantity open parenthesis a number n
or x plus 3 and then we're done
just like that so that is
an expression it doesn't have an equal
sign if it has an equal sign it's called
an equation but these ones are called
expressions and so there i've just
written it again
let's jump into the hard stuff now i
mean that's kind of
also hard for a lot of people but let's
jump into these word problems
feel free to pause and try these writing
them out
and assuming you've done so i want to
highlight this phrase here less than
one example i always think of is what is
5 less than my age how would i write that
that
would i write my age minus 5 or 5 minus
my age
and if you were thinking that top one
that's right because if you did 5 minus
my age that'd give a negative number
that wouldn't make sense
less than is one that's always going to
occur at the end so if
this is kind of the little dot that i
put next to this one
okay well the rest of it is 3 times a
number so that's just going to be 3n
or 3x but then 2 less than a minus 2
at the end of course you could do yeah any
any
any number there would work could be y
or whatever
the next one three times the quantity of
a number plus two just write it as you
say it
three multiplied by the quantity of
and then the last one five more than the
product of a number and three
five more than we know that that's going
to be plus
let's write that five plus product
means multiply one of the ones we
highlighted or put a star by
a number and three now this part
actually does make a difference because
often you might just think well it's a number
number
multiplied by 3 let me just write it
like that it kind of looks
like it might turn into this n to the
power 3
which is why they'll always put the
number in front so that's why it's 3
and then n like that
all right let's keep looking the length
of a table
is seven less than four times its width
what is an expression for the length
pause try both of these out and assuming
you have
let's jump into it 7 less than we know
is going to be at the end
and honestly there's only one of them
that even has something at the end minus 7
7
and it's that one that is our answer
because it's then 4 times its width is
the 4w part
mush those together next one
which is 5 less than the product of 3
and a number 5 less than we know has to
be minus 5
at the end the product is time so it's
three times a number
and then d has all of that three times a
next board two more questions to
practice seven more than the quotient of
a number and two is ten
assuming you've paused and tried this
out i just think of it in terms of
is is equal so that's where we're going
to have equals 10
it's got to be c or d these ones would
be seven
is but that's not the way it's phrased
so it can't be a or b
and then from there quotient is the next
key word seven more than
we know that that's plus seven quotient
means divide
and you divide them in the order you get
them so a number
is n that's first and two is second so
it's going to be
which is 6.8 more than the quotient of
4.3 divided by a number
we do have another quotient here but
let's start off with
6.8 more than that could be 6.8
plus at the end or it could be 6.8 plus
in the beginning with addition it could
be in the beginning or the end that's a
little tricky with this one quotient you
know is divide
and then what's the order well it starts
with 4.3
so it has to be this one it can't be
this one
because this one has the order backwards
for c
so a is one way to represent that
by the way you could do that and have
4.3 divided by n
plus 6.8 at the end that would also be
correct but
that's not what any of the other ones have
have
and then lastly 6 less than twice a
number is four
assuming you've done both of these or
paused and given them a go
is they all have that at the end is
equal to four
six less than is going to be a minus 6
at the end could be this one
could be this one and then twice a number
number
so we know we got a 2. they don't say
anything about the quantity so it's not
going to be c
that one's just going to be b there
and lastly this one's a mouthful the quotient
quotient
we know quotient means the sum this
quotient does not mean sum quotient
means divide
so it's either going to be c or d
because fractions are division these
ones are products
these are not what we have in this
problem the top is the sum of 4
plus 4 and twice a number which is
2 times x or 2 times n
the bottom is where the difference is
because the tops are actually both
identical but in the bottom we've got
6 less than that less than keeps showing up
up
and it happens at the end so it has to
be d
so i hope that this gives you some
confidence moving forward where you can identify
identify
key phrases and key patterns within this
problem these types of problems
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