Solutions
Pricing
Log in
Teams
Get started
Log in
Get started
SOLVING SIMPLE EQUATIONS
KE
by
Kameisha Erskine
·
1 view
·
Updated Aug 5, 2020
Share
Embed
Create your own
Audio Transcript
Auto-generated
00:09 - 00:11
take a look at the pair off wedding plans.
00:12 - 00:19
Unrelated. Notice that the £2 are levels or balance foreign
00:20 - 00:25
equation. Each pan would represent the sides of off on
00:25 - 00:31
equation. If the tool sides are similar to the seesaw
00:31 - 00:36
on the right out off balance, then it can no
00:36 - 00:38
longer be considered on equation.
00:40 - 00:45
No, the Levin sides must equal right inside.
00:47 - 00:56
But well, we can maintain equality for balance in an
00:56 - 01:01
equations by I didn't the same quantity toe board size,
01:03 - 01:09
subtracting the same quantity from your side, multiplying the same
01:09 - 01:15
quantity for both sides, dividing the same quantity Toe board
01:15 - 01:28
size my Whenever we are solve in simple equations, we
01:29 - 01:33
usually group the unknowns toe the left hand side on
01:33 - 01:35
the numbers on the right.
01:35 - 01:40
Inside our vice reversal, which means unknown on the right
01:41 - 01:45
on numbers on the left, deciding on which to do
01:46 - 01:50
well based will be best on the given equation.
01:52 - 01:56
We can do this by undoing the basic operation.
01:57 - 02:00
On the unknown are the numbers we want to move
02:05 - 02:10
right Prezi toe undergo a based operation.
02:11 - 02:16
We must a fly the opposite off that operation with
02:16 - 02:21
the same wanted day as we know admission is opposite
02:22 - 02:26
off. Anybody can guess, is your answer subtraction?
02:27 - 02:29
Then you're so correct.
02:30 - 02:35
Similarly, multiplication is the opposite off off.
02:35 - 02:39
Once here and said division or you are doing a
02:40 - 02:58
fabulous job equation with one basic operation can be solved
02:59 - 03:00
in one step.
03:01 - 03:08
By undoing that operation, Remember, balance is maintained when the
03:09 - 03:14
change on one side is also applied to the all
03:14 - 03:15
the side off the equation.
03:17 - 03:21
Let's look, let's look at some examples.
03:27 - 03:30
You are asked to solve the following simple equations.
03:32 - 03:36
Again. You can pause the video on Attempt the solution,
03:38 - 03:42
after which you can on pause for us to go
03:42 - 03:43
through the solutions.
03:53 - 04:10
Remember toe do by applying the opposite operation removed plus
04:11 - 04:13
or from the left side.
04:14 - 04:21
We undo by changing the opposite, which is stuff the
04:21 - 04:28
tracks. Four fossil notices notice it is a flying to
04:28 - 04:31
both sides when we simplify the unknown.
04:32 - 04:43
Why, as a value up by, we apply the same
04:43 - 04:45
principles as the previous question.
04:46 - 05:00
So K is equal Joe to also for this equation.
05:01 - 05:06
We want to remove negative seven by adding step.
05:07 - 05:12
This change is done to both sides to maintain balance
05:14 - 05:30
when we simplify, M is Kiefer to 17 when we
05:30 - 05:31
meant end of violence.
05:32 - 05:36
We noticed your s that we have a negative 20
05:37 - 05:37
on opposite.
05:38 - 05:41
Off minus is Harry Sean, and we must balance.
05:42 - 05:44
So we changed the negative tools.
05:45 - 05:48
On addition, so answers the 21.
05:55 - 05:59
The opposite of modification is division also.
06:00 - 06:04
So when we divide so into six, we get three
06:05 - 06:18
ourselves, huh?
06:21 - 06:27
Like equation with one basic operation can be some in
06:27 - 06:28
one stay.
06:29 - 06:32
But I'm doing that Operation toe.
06:33 - 06:38
Ensure balances maintain the change must also be applied to
06:38 - 06:40
the other side of the equation.
06:41 - 06:51
Students these remember the ones that seven in to think
06:52 - 06:57
equation with tools to basic operation can be sucked in
06:57 - 06:58
two steps.
06:58 - 07:05
By undoing both operations, these operations are usually different, such
07:06 - 07:11
as an equation with multiple on additions or division on
07:12 - 07:20
additions. Since there are two different operations, we must understand
07:20 - 07:25
order to which we will undo these operations to sub
07:25 - 07:26
for the unknown.
07:28 - 07:33
The acronym for the order may very based on school
07:34 - 07:34
or teacher.
07:35 - 07:42
We will look at been mass as we know we
07:42 - 07:42
do brackets.
07:43 - 07:47
First, we follow the arrows as to the order to
07:47 - 07:55
complete the other operations so under one operation, we will
07:56 - 07:59
in the opposite direction as the order of operation.
08:02 - 08:04
Let us look at a few examples.
08:11 - 08:23
Even you have a few minutes we are given it.
08:24 - 08:31
It's B plus five equals 29 They based on the
08:32 - 08:35
order of operation, we multiply before addition.
08:36 - 08:37
So undo.
08:38 - 08:41
We remove Add before multi fine.
08:42 - 08:45
For this example we undo other five.
08:48 - 08:53
We do so by subtracting by the same is done
08:53 - 08:56
toe the other side to maintain balance.
08:59 - 09:02
When we simplify, we now have.
09:03 - 09:05
It's being equal 24.
09:06 - 09:11
We must undergo multiplication by dividing by.
09:12 - 09:15
Can anybody tell me if your answer is it that
09:15 - 09:16
you are absolutely curry?
09:25 - 09:30
But remember the same change must be done to the
09:30 - 09:30
other side.
09:32 - 09:33
We will simplified.
09:34 - 09:41
So the results we get is be up 13 Now
09:41 - 09:48
we have three X minus six equal 15 again following
09:49 - 09:54
all of operation We have multiplication Onda subtraction, toe undo
09:55 - 09:59
We removed minus six By adding C.
10:00 - 10:04
The same is also done to the right hon time
10:06 - 10:12
as we can't seem here when we simplifies, we have
10:12 - 10:23
three X equals 21 No, we use we then undo
10:24 - 10:29
multiply by three by asked by dividing by three cement
10:30 - 10:30
and balance.
10:30 - 10:32
We do the same on the right size.
10:36 - 10:41
The result we obtain is X equal seven.
10:46 - 10:50
The last problem is five plus y divided by six
10:51 - 10:51
equal 17.
10:53 - 10:54
We can use the competent.
10:55 - 11:00
It'd ve property to real to rewrite the left Inside.
11:01 - 11:03
This method is optional.
11:06 - 11:11
We have divide on dhe addition as our two operations
11:13 - 11:18
to undo, we must first undergo additions by subtracted by
11:18 - 11:24
five. As we can see, the same is done to
11:24 - 11:25
the right sign.
11:28 - 11:33
When we simplify, we have why divided by six equal
11:34 - 11:40
eggs now toe undo divide by six We must want
11:40 - 11:42
apply by six on fourth sign.
11:44 - 11:48
As we can see here we can then simply fine
11:50 - 12:06
therefore or result is why equal court is Let us
12:06 - 12:13
therefore answers guys, When we check our answers, we want
12:14 - 12:17
to know whether the value is valid or true.
12:18 - 12:24
Best on or given equations we conduct the check by
12:25 - 12:31
substitution are substituting the answer we get for the unknown
12:32 - 12:37
or letter If the left inside equal right inside then
12:37 - 12:38
the answer is value.
12:39 - 12:42
If not, the answer is no carafe.
12:45 - 12:51
Let us examine two examples don't previously no left inside
12:52 - 12:54
must be the same as right and side.
12:59 - 13:01
We are K plus five equals seven.
13:02 - 13:05
The result we obtain was K two.
13:08 - 13:13
First, we must replace the unknown with its value in
13:13 - 13:28
the equation Theun, simplify the information If the left inside
13:28 - 13:31
is the same as the right inside that the results
13:32 - 13:41
for the unknown is banning true or correct I would
13:41 - 13:43
give you a few minutes to reading off the same
13:44 - 13:45
exact the next example.
13:54 - 14:06
Um we can see that the solutions are provided.
14:08 - 14:16
We can also validate the answers by checking These are
14:17 - 14:17
the remaining solution.
14:30 - 14:34
Know that the variable can be located on the right
14:34 - 14:38
and size again we can chest to ensure or answers
14:38 - 14:39
are correct.
14:41 - 14:45
You can visit the following websites for additional content such
14:46 - 14:47
as videos, worksheets or nose.
14:48 - 14:53
There are other useful website that you may utilize for
14:53 - 14:56
any challenge is concerned PBA or for additional assistance.
14:57 - 14:59
You can email following teacher
See full transcript