Teaching Topics

for Navigation press [tab] button

Variables, Constants and Terms

Variables are quantities that can take any value or different values and they are denoted by small alphabets a,b,c, …….x,y,z
Example: 2x+3y Here, x and y are variables.
Constants are quantities whose value do not change always ie. a fixed value. Example: x+3 = 7 Here 3 and 7 are constants
Terms: The parts of an algebraic expression which can combined by the signs ‘+’ or ‘-‘ are called the terms of the expressions
Exercise

Algebraic Expressions:

An algebraic expression can have one term two terms or more than two terms. Variables and constants are combined by the operations additions and subtraction to construct an algebraic expression. Example: 6x+1

Exponents:

Exponent is the superscript placed above to the right of the base of any number. The exponent of a number shows how many times a number is multiplied by itself. The other name of exponent is indices. Example: 43 means 4 is multiplied 3 time times by itself. Ie., 4x4x4 = 43 Here 3 is the exponent of 4. 4 is the base Note: The exponents 2 and 3 have special names respectively. Example: 42 is read as four squared. 43 is read as four cubed.

Law of Exponent:

Product of Rule a m x a n = a m+n

Quotient Rule a m / a n = a m-n

Power Rule (a m)n = a mn

Exponent Number with Different Base and Same Power :

Product amx bm = (a x b)m

Division (a / b)m = am / bm

Unit Digit of Numbers in Exponential form

Unit digit of a number is the digit in the one’s place of number ie., if is the right most digit of the number. Example, the unit digits of 243 is 3, the units digits of 39 is 9

Degree of Expression:

The term(s) containing the highest power of the variables in an expression is called the degree of expression.

Identities:

Algebraic identities are an important set of formula in math. Algebraic identities are equations in algebraic where the value of the left hand side (LHS) of the equation is identically equal to the value of the right hand side of the equation.

Equations:

An equation is a statement that asserts the equality of two expressions, the expressions are written one on each side of an “equal to “sign Example: 2x +7 =17

Linear Equations:

An equation containing only one variable with its highest power as one is called a linear equations Example: 3x -7 = 10

Inequations:

In equations are the algebraic expressions being unequal or in which both sides are not equal. In general, when two expressions are compared one might be less than (<), less than or equal to (≤), greater than (>) or equal to (≥) the other. In an inequation, the algebraic expressions are connected by one out of the four signs of inequalities namely >, ≥, < and ≤.