Friday, February 22

Basic Algebra Terms


INTRODUCTION:

An algebraic equation is represented as a scale; one side of the scale with a number is also done for the other side of the scale.The numbers are also known as the constants. Algebra that includes real numbers, complex numbers, matrices, vectors etc.Basic algebra terms you need to know:  Constant, Variables, Coefficient, Terms, Expressions, and Equations. Let us see about the basic algebra terms in this article. Looking out for more help on Adjoint of a Matrix in algebra by visiting listed websites.

Constants, Variables, Coefficients on basic algebra terms:

The basic terms of the algebra are given below:

Constants

A fixed quantity that does not change. For example: -3, -6, p

Variables

A variable is a symbol that represents an unknown value. It is usually denoted by the letters such as x or y, For example, we say that x is the length of a rectangle and w is the width of the rectangle.

We use variables are when we need to show how objects are related even though we may not know the exact values of the objects. Ex: If we want to say that the length of a rectangle is 3 times of the length of the width then we can write

l = 3 × w

Coefficients

The coefficients of variables are the number which is placed in the front of a variable.

For example, 2 × l can be written as 2l.  2 is the coefficient which placed in front of the variable. Please express your views of this topic Polynomial End Behavior by commenting on blog.

Terms, Expressions, Equations

Terms

A term can be any of the following:

a constant: e.g. 3, 10, p
the product of a number (coefficient) with a variable: e.g. –3xy, 13yz
the product of two or more variables: e.g. xz2, xy, 2y2, 7xyz
Like terms are terms that differ only in numerical coefficients. For example: 3a, 22ab are like terms.

Expressions

An expression is made up of one or more terms.

For example:

3w + 4xy + 5x+23

Equations

An equation should have two expressions separated by one equal sign. Always the expression in one side of the equal sign has the same value as the expression on the other side.

For example:

4 x+ 6y = 5

l = 3 × wx

3w + 4xy + 5x = 2w + 3 - 5

Quadratic Equations

A Quadratic Equation is an equation of the form:

ax^2 + bx + c = 0, where a, b and c are numbers and a ? 0

For example:

x^2 + 2x + 3 = 0

2x^2 + 5x – 7 = 0

2x^2 + 5x = 7     is a quadratic equation it can be changed to 2x^2 + 5x – 8 = 0

x^2  + 2x = 0     is a quadratic with c = 0

2x^2 – 7 = 0     is a quadratic with b = 0

2x + 34 = 0     is not a quadratic because a cannot be 0

These are the basic algebra terms with examples.

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