study online how to learn online basic algebra

Notation: Usually a polynomial is denoted by P(x) and if k is any number then P(k) denotes the value of P(x) at x=k. The degree of a polynomial: If a o ? 0, then the polynomial P(x) or f(x) is of degree 'n' i.e., it is the highest power of the variable x in the rational and integ..

In this chapter, we have studied various types of functions and their graphs. The use of graphs also facilitate the study of domain and range of functions.In this chapter, we have studied various types of functions and their graphs. The use of graphs also facilitate th..

In this chapter, we have studied various types of functions and their graphs. The use of graphs also facilitate the study of domain and range of functions...

Writing a polynomial as the product of two or more polynomials is called factorisation. If A = B x C, B and C are called factors of A. Most of the polynomials can be factorised by grouping the terms suitably and taking out the common factors. Identities studied in the previous chapter a..

We consider two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B. When a relation satisfies this rule, it is called a fuction. In this chap..

A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such that the two sides of the equation are equal. Henc..

Study the following equations: a) 4x + 2 = 14 b) x - 7 = 5 - 2x c) 3a - 8 = a + 12 The equation 4x + 2 = 14 is true only when x = 3, Similarly, x - 7 = 5 - 2x is true only when x = 4, and 3a - 8 = a + 23 is true only when a = 10. The two expressions (LHS and RHS) are equal only for a part..

If m is a positive integer, a x a x a .. m times is written as am. a is called the base and m is the power. We read it as "a raised to the power m". The power is also called "the index" or "the exponent". When the power or index is a fraction say then and it is a surd of order n. In this chap..

In our daily life, we come across many relations such as father-son, brother-sister, teacher-student and many more. In mathematics too, we come across relations such as . A is a subset of B . line l is parallel to line m . number m is less than number n . In all these, we notice..

Identical equations or Identities - Now study the equations given below: a) x + 3 + x + 4 = 2x + 7 2x + 7 = 2x + 7 (By simplification) [ \ any value given to 'x' always satisfies the equation] Similarly, b) (3a + 4) + 2 (a - 1) = 5a + 2 i.e., 5a + 2 = 5a + 2 (By simplification) [ \ any va..