Expression Design Tutorial

An expression design tutorial is a finite combination of symbols that are well-formed according to the rules applicable in the context at hand. Symbols can designate values constants, variables, operations, relations, or can constitute punctuation or other syntactic entities. In algebra an expression may be used to designate a value, which value might depend on values assigned to variables occurring in the expression. Mathematical expressions include letters called variables.

(Source -Wikipedia)


Basic concepts of Expression design tutorial:

Basic concepts of Expression design tutorial:

Basic concepts of Expression:

Expression design Tutorial mean nothing but a to make the expression using constant, Operations, Variables, according to our given sign and operation of the expression.

Example:

A simple algebraic expressions like  6x + 8, 7y – 9. A variable can take various values. Its value is not fixed. On the other hand, a constant has a fixed value. Examples of constants are: 4, 100, and 17.

Based on the number of of terms expression should classified four types:

Monomials(having only one term)
Binomials(having two terms)
Trinomials(having three terms)
Polynomials(having many terms)

In word problems data’s are given in directed form when we solve the word problem first design the expression based on our given data and then solve the expression

Example problems in expression design tutorial:

Expression design tutorial:

Example problem 1:

16 years ago, Jenny age was half of the age his brother will be in 25 year.find the current age of jenny?

Here first we have to design the expression for solving jenny’s age

Solution:

Step 1:

Let us consider x is age of Jenny

14 years ago means that x-16

Step 2:

Half of the age of his brother will in 25years means =x+25

Step 3:

Now we have to write the equation or expression for solving age

x-16=1/2(x+25)(Designed expression)

Step 4:

2(x-16) =x+25(solving the expression)

2x-32=x+25

Step 5:

Subtract both side on x

2x-32-x=x-x+25

2x-x-32=25


Step 6:

Add both sides on 32

2x-x-32+32=25+32

Step 7:

X=25+32

X=57 year

Answer :jenny age was 57 year