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Short Notes, Class 6 Maths, Algebra, , Algebra, Introduction, A part of mathematics in which letters and symbols are used to represent numbers is called, Algebra.,  Algebra helps us to find the unknown quantity using some given information.,  Variable,  It refers to the unknown quantities that can change or vary. It is generally an English, alphabet.,  For example: In the expression 4x+5, x is the variable., , Constant, Constant is a quantity which has a fixed value., For example: 4x+5, 5 is the constant., , Like terms, Terms which have same variables are called like terms, For example: 6pq and 2pq are like terms, , Unlike terms, Terms having different variables are called unlike terms., For example: 4x and -2y are unlike terms., , Addition and Subtraction of like terms, Like terms can be added or subtracted by simply adding or subtracting the coefficients of, the terms., For example: 5x + 3x = 8 , 5x – 3x = 2x, , Addition and Subtraction of unlike terms, We write the unlike terms with the sign of addition and subtraction., For example: −5x + 12xy and 7x + xy + 7x, , https://www.swiflearn.com/

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Short Notes, Class 6 Maths, Algebra, Use of Variables in Common Rules, 1. Perimeter of Square, The perimeter of a square = Sum of all sides = 4 × side, 2. Perimeter of Rectangle, Perimeter of rectangle = 2(length + breadth), = 2 (l + b), , Commutative property of Addition, a+b=b+a, 2+7=9, 7+2=9, Thus, 2 + 7= 7 + 2, Result remains the same after interchanging the terms., Commutative property of Multiplication, a×b=b×a, 6 × 2 = 12, 2 × 6 = 12, Thus, 6 × 2 = 2 × 6., Distributive property of Multiplication over Addition, a x (b + c) = a x b + a x c, Eg - 3 x (4 + 5) = 3 x 4 + 3 x 5, 3 x 9 = 12 + 15, 27 = 27, , Expressions, Arithmetic expressions may use numbers and variables which are connected with different, mathematical operations like addition, subtraction, multiplication and division., Eg - 2x + 3 - twice of a number added to three, Note: Expression can only be solved for the given value of the variable., , https://www.swiflearn.com/

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Short Notes, Class 6 Maths, Algebra, , Equation, Expressions related with an equal to sign forms an equation., Eg - 2x + 3 = 7 - It has an equal to sign., The equations are true for only some values of the variable., , Solution of an Equation, An equation can be solved to find the value of the variable. This value satisfied the given, equation., Eg - 2x + 3 = 7, 2x = 7 - 3, 2x = 4, x = 4/2 = 2, , https://www.swiflearn.com/