Algebra executes most common four basic types of operations. That includes the addition, subtraction, multiplication and division operations. Algebraic problems contains the variables, constant, coefficients, exponents, terms and expressions. Balanced equations on both of the sides are considered as the fundamental concept of algebra. Important properties such as commutative, associative, identities and inverse are also involved in the algebraic problems.
Learning common term in intermediate algebra:
Variables:
Algebraic variables are use for assigning the variables. Alphabetical characters alone used as variables. There are possibilities for changes of variable values while solving the algebraic problems. x, y and z are the three commonly used variables in algebra.
Constant:
Algebraic constants are values that never change during the process of solving the algebraic equation. Consider the algebraic form of equation 6y + 5, in which the value 5 is the constant.
Expressions:
Algebraic expressions are considered as the combinations of variables, constant, coefficients, exponents and terms.Addition, subtraction, multiplication and division expressions proves this. The example of an algebraic expression is given below
15y + 6.
Term:
Terms are used to form the algebraic expressions by some of the arithmetic operations such as addition, subtraction, multiplication and division. Consider the following example 5n^2 + 6n in which the terms 5n^2, 6n are combined to form the algebraic expression 3n^2 + 2n by using the addition operator ( + ) to perform addition operation.
Coefficient:
The coefficients are the values that are present in front of the terms of an algebraic expression. Consider the following example, 6n2 + 4n in which the coefficient of 6n2 is 6 and 4n is 4.
Equations:
Algebraic equations are the combinations of the numbers or expressions. Mostly the algebraic equations are used for evaluating the the value of the variables.
Learning Examples of intermediate algebra:
Example 1:
4x - 6 = 2x – 4
4x-6+6 =2x-4+6 (adding common value(6) in both sides)
4x = 2x +2 (we get)
4x -2x = 2x -2x +2 (adding common value(-2x) in both sides)
2x = 2 (we get)
2x / 2 = 2/2 (dividing common value (2) in both sides)
X = 1 (We get x value)
Example 2:
6n +15 = 150
6n+15-15 =150-15 (adding common value(-15) in both sides)
6n = 135 (we get )
6n / 6 = 135 / 6 ( dividing common value (6) in both sides)
n = 22.5 (We get n value).
Learning common term in intermediate algebra:
Variables:
Algebraic variables are use for assigning the variables. Alphabetical characters alone used as variables. There are possibilities for changes of variable values while solving the algebraic problems. x, y and z are the three commonly used variables in algebra.
Constant:
Algebraic constants are values that never change during the process of solving the algebraic equation. Consider the algebraic form of equation 6y + 5, in which the value 5 is the constant.
Expressions:
Algebraic expressions are considered as the combinations of variables, constant, coefficients, exponents and terms.Addition, subtraction, multiplication and division expressions proves this. The example of an algebraic expression is given below
15y + 6.
Term:
Terms are used to form the algebraic expressions by some of the arithmetic operations such as addition, subtraction, multiplication and division. Consider the following example 5n^2 + 6n in which the terms 5n^2, 6n are combined to form the algebraic expression 3n^2 + 2n by using the addition operator ( + ) to perform addition operation.
Coefficient:
The coefficients are the values that are present in front of the terms of an algebraic expression. Consider the following example, 6n2 + 4n in which the coefficient of 6n2 is 6 and 4n is 4.
Equations:
Algebraic equations are the combinations of the numbers or expressions. Mostly the algebraic equations are used for evaluating the the value of the variables.
Learning Examples of intermediate algebra:
Example 1:
4x - 6 = 2x – 4
4x-6+6 =2x-4+6 (adding common value(6) in both sides)
4x = 2x +2 (we get)
4x -2x = 2x -2x +2 (adding common value(-2x) in both sides)
2x = 2 (we get)
2x / 2 = 2/2 (dividing common value (2) in both sides)
X = 1 (We get x value)
Example 2:
6n +15 = 150
6n+15-15 =150-15 (adding common value(-15) in both sides)
6n = 135 (we get )
6n / 6 = 135 / 6 ( dividing common value (6) in both sides)
n = 22.5 (We get n value).
No comments:
Post a Comment