Proportion When two ratios or (fractions) are equal, then they are in Proportion. A proportion is an equality of ratios. The symbol “::” or “=” to equal represent the two ratios.                It can be written in two ways 1. Colon form 2. Fractional form The terms a, b, c, […]

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Rules of Addition and Subtraction of like Terms  In this lesson we will learn, how to add and subtract like terms Like Terms In an algebraic expression, like terms are terms that have same variables with same exponents and only the numerical coefficients of like terms are different. The terms must have the same variables […]

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Method of completing the square Below are steps to solve the quadratic equation by Completing Square. (1) First we set given equation all terms of the equation on one side, of equal sign and other side leaving zero. (2) Factor the non zero side. (3) Set each factor equal to zero. (4) Solve each of […]

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Like and Unlike Algebraic Terms       Similar or Like Terms  In an algebraic expression, like terms are terms that have same variables with same exponents and only the numerical coefficients of like terms are different. The terms must have the same variables and the same exponents. 3x, 7x, 8x, 12x, x, -4x, -9x  all […]

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Polynomials – Definition – Example A ‘Polynomial’ is a mathematical expression consisting of variables (indeterminates), coefficients and the operations of addition, subtraction, multiplication and non-negative integer exponents of variables. Example: A Polynomial of a single variable x is    x2 + 3x           A Polynomial of a variable y is                  […]

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Solving Quadratic Equations     A Quadratic equation is an equation in the form “ax2 + bx + c = 0″, where x is variable, a, b, c, are real numbers, and a ≠ 0. Example- (1) x2 – 4x + 5 = 0                (2) x2  + 3x – 4 = 0       […]

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Simultaneous equations by Elimination Method Steps for solve linear equations with elimination method. Step 1: First we arrange both equations in standard form, placing like variables and constants one above the other. Step 2: Choose a variable (x or y) to eliminate, Multiply both equations by a suitable(non zero) constant to make the coefficients of one […]

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