Ayush Agarwal Maths

Direct proportion - Two quantities x and y are said to be in direct proportion if whenever the value of x increases or decreases, then the value of y increases or decreases in such a way that the ratio x/y remains constant. 

Algebra-  Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.  ALGEBRAIC EXPRESSIONS- A combination of constants and variables, connected by some or all of the operations +, -, ×, and  ÷ is known as an algebraic expression.                          Polynomials  Monomial  - Polynomial having one term.  Binomial  - Polynomial having two terms.  Trinomial  - Polynomial having three terms Zero Polynomial  - Polynomial having all its coefficient zero.  Constant Polynomial  - A polynomial having only a single term ( of real number).  Standard form  - Powers of x are either in increasing or decreasing order.  Addition of Algebraic expressions - In the addition of algebraic expression we collect the like terms and add them.  Practice Questions  1. Solve the following equation for P  : 2P/3 = 8 + 4P 2.If 8x + 5x + 2x + 4x = 114, then 7x + 8 = ?  3. If a = 3, then a 3 (a 3 -a)= ?  4. 5x + 2(x + 7) = 14x – 7. Find x ?  5.