In this video, we room going come learn how to turn verbal expressions and equations right into algebraic expressions and equations. When turning expressions into mathematical expressions, we usage keywords to identify the procedure that need to be used. Particular keywords or phrases in the verbal expression allows us to additionally determine the stimulate of numbers and variables, “greater than”, “less than”, and “difference of”. After ~ you finish this lesson, view every one of our Pre-Algebra and also Algebra 1 lessons and practice problems.

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## Verbal expression to Algebraic Expressions

x enhanced by 5

x decreased by 5
x much less than 5

## Examples of verbal To Algebraic expressions & Equations

### Example 1

The product the

and also
decreased by

The product of

and also
would certainly be
i beg your pardon we know is
.

Decreased method we subtract.

Therefore, the algebraic expression is,

### Example 2

The quotient the

and
is much less than

Since quotient is the answer come division, it would be

The much less than sign is

Therefore,

## Video-Lesson Transcript

Let’s walk over changing verbal expression right into algebraic expressions.

For example:

raised by
this will be
.

decreased by
due to the fact that it’s a decrease, we room taking
away from
. So this i do not care
.

better than
, below we have
more than
. We have
and we’re raising it by
. Right here we have
.

much less than
. Therefore think around this, if we have
much less than
. We have
and also we’re taking
away from it. For this reason it’s
.

The sum of

and also
is just
.

The distinction of

and also
, distinction is the answer to subtraction so we have actually is
.

Then the product the

and also
would be
i m sorry we understand is
.

The order isn’t important in multiplication and addition.

The quotient the

and
, since quotient is the answer to division our answer would be
.

You should get familiar with these different expressions. Some may memorize these. Yet it’s nice to look at these expressions and also make feeling of it.

Now, let’s watch at transforming verbal equations to algebraic equations.

Verbal equations space expressions that have equal signs.

So, we’re walking to perform this in equality. Prefer equal to, much less than, higher than, much less than or equal to, or higher than or same to.

Let’s have actually some examples.

greater than
is
.

This becomes

.

The product of

and also
is much less than
.

The difference of

and
is higher than
.

much more than the product of
and also
is
.

Let me allude out the difference between these two:

less than
and
is less than

less than
is

While

is much less than
is
.

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“Is” in the sentence is one equality sign. That’s why we come up with the less than sign.