In this video, we room going come learn exactly how to revolve verbal expressions and also equations into algebraic expressions and also equations. When transforming expressions right into mathematical expressions, we usage keywords to identify the operation that should be used. Particular keywords or phrases in the linguistic expression allows us to also determine the bespeak of numbers and also variables, “greater than”, “less than”, and also “difference of”. After you complete this lesson, view all of our Pre-Algebra and also Algebra 1 lessons and also 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 linguistic To Algebraic expression & Equations

### Example 1

The product the

and also
lessened by

The product that

and also
would be
i m sorry we know is
.

Decreased method we subtract.

Therefore, the algebraic expression is,

### Example 2

The quotient that

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 into algebraic expressions.

For example:

boosted by
this will certainly be
.

lessened by
due to the fact that it’s a decrease, we room taking
far from
. Therefore this becomes
.

higher than
, right here we have
much more than
. We have actually
and we’re enhancing it by
. Right here we have actually
.

much less than
. For this reason think around this, if we have
much less than
. We have
and also we’re acquisition
far from it. So it’s
.

The amount of

and also
is simply
.

The distinction of

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

Then the product that

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

The bespeak isn’t essential in multiplication and also addition.

The quotient that

and
, due to the fact that quotient is the prize to division our answer would certainly be
.

You should get familiar with these different expressions. Some might memorize these. Yet it’s nice come look at these expressions and make sense of it.

Now, let’s look at at changing verbal equations come algebraic equations.

Verbal equations room expressions that have equal signs.

So, we’re walking to carry out this in equality. Choose equal to, much less than, greater than, less than or same to, or better than or equal to.

Let’s have actually some examples.

greater than
is
.

This i do not care

.

The product of

and
is less than
.

The distinction of

and
is higher than
.

much more than the product of
and also
is
.

Let me allude out the difference between these two:

much 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 us come up with the less than sign.