Introduction
An algebraic expression is a combination of numbers, letters and four basic arithmetic operations.
The figures in an algebraic expression are known constants.
The letters in an algebraic expression are called variables. In an algebraic expression, the letters always stand for numbers.
Here are some examples of algebraic expressions.
n – 2
Y / 3
11x
a + 5
Algebraic expressions may contain more than one number, one more variable, more than one arithmetic operation.
For example:
3x – 7y + 11
5N × 9p ÷ 6
Algebraic expressions often contain parentheses (brackets) and exhibitors.
For example:
3 (a – 4)
(y – 4) (y + 
5 (M ^ 3)
9 (a ^ 2) – 5 (b ^ 2) + 131
Algebraic expressions contain not a relation symbol such as <,>, <=,> = etc.
Terms in an algebraic expression
A term in an algebraic expression is a constant or variable or both multiplied together.
For example:
3x – 16y + 11 has three terms 3x-16Y and 11
3x-16Y are called "variable conditions' and 11 are called the" constant term.
Each term in an algebraic expression is a factor. Learn on the coefficients, click on the link below or copy and paste the link below.
http://www.icoachmath.com/SiteMap/Coefficient.html
Evaluate algebraic expressions
Algebraic expressions may be evaluated by substituting given values for the variables in the expression.
To learn more about the "assessment algebraic expressions, click the link below or copy / paste link below:
http://www.icoachmath.com/SiteMap/EvaluateanAlgebraicExpression.html
Solved Examples on the algebraic expression
Example 1
Write an algebraic expression to the statement below.
Seven times a number
Solution:
We can use any letter to represent the "number". Let's use N '.
So:
Seven times a number = 7 × a certain number = 7 × n = 7N
Example 2
Write the sentence following as an algebraic expression.
Nine more than three times a number
Solution:
We can use any letter to represent the "number". M Let's use 'here.
Prior to conversion, we will first understand the meaning key words in the sentence given.
The key word "only" is more the operation '.
The keyword "three times" means "three times".
So,
Three times a number = 3 × a number = 3 m × 3 m =
Therefore,
Nine more than three times a number = 3m + 9
We can represent real situations using algebraic expressions.
Example 1
Mathew and his three college friends will be sharing the cost of an apartment with 3 bedrooms. The cost of rent is $ n. Write an expression that tells us how much is Mathew.
Solution:
The cost of rent is $ n.
This cost will be shared by 4 people>> Mathew + his 3 friends.
This means:
The cost of $ n will be divided equally between 4 people.
Thus, each share would be $ n / 4.
Example 2
A store tape costs $ 5 to rent a video for the first day. It charges $ 2 additional for each additional day. Which of these algebraic expressions tells you the amount that Sarah would pay if they rented a cassette No video for days?
Choice:
A. $ (3 + 2n)
B. $ (5n + 2)
C. N $
D. $ (5 – 2n)
Solution:
Step 1: $ 5 for the first day and $ 2 additional for each additional day.
Step 2: The amount that Sarah would pay if they rented a cassette Video rental = n days to the first day + rental for the remaining days.
Step 3: + = $ 5 × days remaining $ 2
Step 4: = $ 5 + (n – 1) × $ 2 [days remaining = n days - first day = n - 1.]
Step 5: Then Sarah would pay $ 5 + (n – 1) × $ 2 for the renting a videotape of n days.
Step 6: Therefore, the algebraic expression which is the amount that Sarah would pay $ (3 + 2n).
Example 3
Write your life situation which corresponds to the following algebraic expression.
X ÷ 14
Solution:
A certain number (x) is divided by the number 14.
The algebraic expression can describe data the following situation.
Amy distributed 'x' cookies among 14 friends. The algebraic expression ÷ 14 x represents the number of cookies each friend receives.
Try to find your own examples.
Example 4
Write a life situation that corresponds to the expression following algebraic.
7 + m
Solution:
A number (m) is added to 7.
The given algebraic expression can describe the following situation.
Lisa has 7 marbles. His brother gives him a little more. The algebraic expression 7 + m, the number of balls that Lisa has everything.
Try to find your own examples.
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