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
*

*

Verbal Equations come Algebraic Equations

*

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.