How to do 1 Step Equations
How to Solve One-Step Equations | One-Step Equation Steps | Math with Mr. J
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welcome to math with mr. J in this video
we're going to discuss how to solve
one-step equations and as you can see
there are six problems on your screen
that we're going to go through in order
to get this down now up top I have a
hint we need to remember as we go
through these problems so we're going to
do the opposite or inverse operation of
whatever is being done to the variable
in order to get the variable by itself
now that may not make any sense at first
but as we go through these problems
you'll start to see what I mean by that
again main goal is getting the variable
by itself and just to reiterate inverse
means opposite it means to do the
opposite so addition the inverse would
be subtraction multiplication the
inverse would be division so let's jump
right into number one here and see how
we solve one-step equations so for
number one we have X minus six so we
need to take a look at what we're doing
to the variable X our missing piece and
we're subtracting six so we need to do
the opposite so that would be adding six
so we need to add six to that side and
the reason we do that because we have X
minus six plus six the minus six plus
the six gives us zero essentially
cancelling those sixes out so we're just
left with the X that gives us the X by
itself now in order to keep that
equation balanced we have to do the same
thing to both sides whatever you do to
one side you have to do to the other so
we added six to the left so we need to
add six to the right so 13 plus 6 gives
us 19
so X equals 19 and we always double
check to see if this makes sense and our
answer for the variable is correct so
let's plug in 19 for 19 minus 6 equals
13 and that is true it is correct I'm
even going to come to the side here plug
it in 19 minus 6 equals 13 that is true
so we're good to go
we have the correct answer for what x
equals let's take a look at number 2 we
have K divided by 8 equals 2 so what are
we doing to the variable K well we're
dividing by 8 so we need to do the
opposite to that side to get rid of the
dividing 8 so we need to multiply by 8 K
divided by 8 times 8 while those eights
would equal 0 or cancel out so K is by
itself but whatever we do to one side we
have to do to the other to keep
everything balanced so we get to the
point where K is by itself k equals well
2 times 8 is 16 k equals 16 let's see if
that's true let's plug in 16 for K 16
divided by 8 equals 2 so K indeed does
equal 16 let's take a look at number 3
now here we have the answer on the left
hand side and our variable on the right
that's okay that hat that happens in
algebra sometimes so we're adding 3 to G
so we need to do the opposite to that
side to get G by itself so we need to
subtract 3 and we need to do it to both
sides so we get G equals 13 and I always
like to rewrite with the variable first
G equals 30
team and let's double check does 3 plus
13 equals 16 yes
so we have the correct answer for the
variable number 4 we have 15 equals 5 M
now a number right next to a variable or
a letter means multiplication so we're
multiplying by 5 here so the opposite of
multiplying by 5 would be dividing by 5
that would give us our M by itself and
that I put it in fractional form in
fractions our division here that means
divided by 5 so do it to both sides so
we have the M by itself and then 15
divided by 5 gives us 3 so M equals 3
let's double-check
5 times 3 does equal 15 so we have the
correct answer there number 5 we have 2
r equals 22
so we're multiplying by 2 again number
next to a letter means multiplication so
we need to divide both sides by 2 that
gives us R by itself and 22 divided by 2
equals 11 so R equals 11 let's double
check 2 times 11 does equal 22 so we're
good to go there number 6 11 equals W
divided by 4 so we're dividing by 4 the
opposite would be multiplied by 4 so
let's multiply by 4 to give to get W by
itself and then whatever we do to one
side we need to do to the other in order
to keep everything balanced so we end up
with an answer 44 for the value of W so
W equals 44 and let's double check 44
divided by 4
does equal 11 so we're good to go
number six so there you have it there's
how you solve one-step equations
hopefully you found that helpful until
next time peace
