Algebra Answers
Algebraic expressions
Introduction
An algebraic expression is a combination of numbers, letters and four arithmetic operations basic.
The numbers in an algebraic expression are called constants.
The letters in an algebraic expression are called variables. In an expression algebraic, the letters always stand for numbers.
The following are some examples of algebraic expressions.
n – 2
Y / 3
11x
a + 5
Algebraic expressions can contain more than one number, more than one variable, more than one arithmetic operation.
For example:
3x – 7y + 11
9s 5n × ÷ 6
Algebraic expressions often include brackets (parentheses) and exponents.
By example:
3 (a – 4)
(Y – 4) (y + 
5 (m ^ 3)
9 (a ^ 2) – 5 (b ^ 2) + 131
Algebraic expressions not contain a relation symbol such as <,>, <=,> =, etc.
The terms in an algebraic expression
A term in an algebraic expression is a constant or variable of one or both multiplied together.
For example:
3x – 16Y + 11 has three terms 3 x,-16Y, and 11
16Y-3x and are called "variable" and 11 are called 'constant term.
Each term in an algebraic expression is a coefficient. For more information on the coefficients, click on the link or copy and paste the link below.
http://www.icoachmath.com/SiteMap/Coefficient.html
Evaluation algebraic expressions
Algebraic expressions can be evaluated by substituting given values for the variables in the expression.
For more information on "the assessment algebraic expressions, click the link below or copy / paste the following link:
http://www.icoachmath.com/SiteMap/EvaluateanAlgebraicExpression.html
Solved Examples of algebraic expression
Example 1
Write algebraic expression for the box below.
Seven times a number
Solution:
We can use any letter to represent 'The number. " Let's use 'n'.
Therefore:
Seven times a number = a = 7 × 7 × n = number 7N
Example 2
Write the following phrase as an algebraic expression.
Nine more than three times a number
Solution:
We can use any letter to represent "the number." Let's use the 'm' here.
Prior to conversion, first understand the meaning of key words in the sentence given.
The keyword 'rather than' representing the operation of "addition."
The keyword "three times" means''Three times.
Therefore,
Three times a number = 3 × a number = m = 3 × 3 m
Therefore,
Nine more than three times a number of 3m + 9 =
We can represent real life situations the use of algebraic expressions.
Example 1
Mathew and his three friends from college are going to share the cost of a 3 bedroom apartment. The rental cost is $ n. Write an expression that tells us what percentage is Mathew.
Solution:
The rental cost is $ n.
This cost will be shared by 4 people>> Mathew + her 3 friends.
This means:
The cost of $ n will be equally divided between 4 people.
By So each share would be $ n / 4.
Example 2
A cassette shop charges $ 5 for the rental of a videotape for the first day. It charges $ 2 extra per additional days. Which of these algebraic expressions tells you the amount that Sarah would pay if you rent a videotape of n days?
Options:
A. $ (3 + 2n)
B. $ (5n + 2)
C. $ N
D. $ (5 – 2n)
Solution:
Step 1: $ 5 for the first day and $ 2 extra for each additional day.
Step 2: The amount that Sarah would pay if you rent a video tape for n = days rental for the first day + rental for the remaining days.
Step 3: = $ 5 + remaining days × $ 2
Step 4: = $ 5 + (n – 1) x $ 2 [days remaining days = n - first day = n - 1.]
Step 5: So, Sarah was paying $ 5 + (n – 1) × $ 2 for rental a videotape of n days.
Step 6: Therefore, the algebraic expression corresponding to the amount you pay is $ Sarah (3 + 2n).
Example 3
Write a real situation that matches the following algebraic expression.
X ÷ 14
Solution:
A number (x) is divided by the number 14.
Given algebraic expression can describe the following situation.
Amy distributed 'x' 14 cookies between friends. The algebraic expression x ÷ 14 represents the number of cookies each friend gets them.
Try to come up with their own examples.
Example 4
Write a real situation that matches the following algebraic expression.
7 m +
Solution:
A number (m) is added to 7.
The algebraic expression can be described as the following situation.
Lisa has 7 marbles. His brother gives him some more. The algebraic expression 7 + m represents the number of marbles that Lisa has a total.
Try to come up with their own examples.
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Mathematics Dictionary
About the Author
I’m Chandrajeet, an in-house writer for iCoachMath. iCoachMath is an effective, convenient, easy-to-use online Math Program which has been used by thousands of students, teachers, and parents. iCoachMath strives to lead K-12 students to excellence in math by offering quality web-based educational solutions. iCoachMath’s instructional and lesson materials are aligned to State Curriculum Standards in all 50 states (USA).
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