Class 6 Exam > Class 6 Videos > Examples: Algebraic Expressions
Examples: Algebraic Expressions Video Lecture - Class 6
FAQs on Examples: Algebraic Expressions Video Lecture - Class 6
| 1. What is an algebraic expression? |  |
An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It represents a mathematical relationship or a quantity and does not contain an equal sign.
| 2. How do you simplify an algebraic expression? | |
To simplify an algebraic expression, you need to combine like terms. Like terms have the same variable raised to the same exponent. Combine the coefficients and keep the common variables. You can also use the distributive property to simplify expressions further.
| 3. What is the difference between an equation and an expression in algebra? | |
An equation is a mathematical statement that contains an equal sign, representing that two expressions are equal. It can be solved to find the value of the variable. On the other hand, an algebraic expression is a combination of variables, constants, and mathematical operations, but it does not have an equal sign and cannot be solved.
| 4. How do you evaluate an algebraic expression? | |
To evaluate an algebraic expression, substitute the given values for the variables and perform the required mathematical operations. Replace each variable with its corresponding value and simplify the expression using the order of operations (PEMDAS/BODMAS).
| 5. Can you give an example of simplifying an algebraic expression? | |
Certainly! Let's simplify the expression 3x + 2y - 5x + 4y - 2x + 3y.
First, combine the like terms: 3x - 5x - 2x = -4x, 2y + 4y + 3y = 9y.
The simplified expression is -4x + 9y.
Text Transcript from Video
hello friends this video on algebra part
10 is brought to you by exam feel calm
no more fear from exam so let's look at
some questions which out of the
following are expressions with numbers
only now as I said that expressions can
be with numbers can be with variables
can be with both numbers and variables
so out of these which one are
expressions with numbers only that is
they do not have any variables the first
one it involves only numbers 5 21 7 7 2
so this is an expression with numbers
only 5 minus 5 n here you have a
variable n so this is not an expression
with numbers 7 into 20 minus 5 into 10
minus 45 plus P so P again is a variable
so this is also not an expression with
numbers only question number to give
expressions for the following cases 5p x
7 so how would you write that P
multiplied by 7 so that is equal to 7
multiplied by P and that can be written
as 7 P minus P multiplied by 5 so minus
P multiplied by 5 that is minus so this
can be written as 5 into minus P this
can be written as minus 5p 7 subtracted
from P so you have something like P
minus 7 5 times y so 5 times y would be
5y 5 times y is 5 into y2 which 3 is
added so you add 3 to this so it becomes
5y plus 3 y is multiplied by 5 okay so Y
into 5 and the result is subtracted from
16 so this result is subtracted from 16
so this becomes 16 minus 5y question
number 3 form expressions using y2 and 7
every expression must have Y in it use
only 2 number operations these should be
different
so you need to include this variable Y
and two constants two and seven and you
can make use of operators so you can
make an expression like 2y plus seven
you can throw on an expression like 7y
plus 2 or 2y minus 7 or 7 y minus 2 so
in this pattern you can form many such
expressions with these numbers and
variables thank you please visit exam
fee or come for free quality education
you can learn with a simple four-step
learning process wherein you can watch
video lessons you can ask your questions
you can refer notes and you can take a
free online test we have content for
class 6 to 12 on physics chemistry
mathematics and biology along with
practical videos so please subscribe to
our channel for daily updates thank you
10 is brought to you by exam feel calm
no more fear from exam so let's look at
some questions which out of the
following are expressions with numbers
only now as I said that expressions can
be with numbers can be with variables
can be with both numbers and variables
so out of these which one are
expressions with numbers only that is
they do not have any variables the first
one it involves only numbers 5 21 7 7 2
so this is an expression with numbers
only 5 minus 5 n here you have a
variable n so this is not an expression
with numbers 7 into 20 minus 5 into 10
minus 45 plus P so P again is a variable
so this is also not an expression with
numbers only question number to give
expressions for the following cases 5p x
7 so how would you write that P
multiplied by 7 so that is equal to 7
multiplied by P and that can be written
as 7 P minus P multiplied by 5 so minus
P multiplied by 5 that is minus so this
can be written as 5 into minus P this
can be written as minus 5p 7 subtracted
from P so you have something like P
minus 7 5 times y so 5 times y would be
5y 5 times y is 5 into y2 which 3 is
added so you add 3 to this so it becomes
5y plus 3 y is multiplied by 5 okay so Y
into 5 and the result is subtracted from
16 so this result is subtracted from 16
so this becomes 16 minus 5y question
number 3 form expressions using y2 and 7
every expression must have Y in it use
only 2 number operations these should be
different
so you need to include this variable Y
and two constants two and seven and you
can make use of operators so you can
make an expression like 2y plus seven
you can throw on an expression like 7y
plus 2 or 2y minus 7 or 7 y minus 2 so
in this pattern you can form many such
expressions with these numbers and
variables thank you please visit exam
fee or come for free quality education
you can learn with a simple four-step
learning process wherein you can watch
video lessons you can ask your questions
you can refer notes and you can take a
free online test we have content for
class 6 to 12 on physics chemistry
mathematics and biology along with
practical videos so please subscribe to
our channel for daily updates thank you
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About this Video
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Nov 16, 2024 Last updated |
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