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Introduction, , Algebra is a branch of mathematics, that uses letters. Letters allow us to, write formulas, rules as well as define, unknown quantities. Thus, these letters, can represent variables. A variable, means something that can vary and, can change. The value of a variable, that can satisfy an equation is called, solution of the equation. For example:, If two matchsticks are required to form, the letter ‘L, then we get the following, rule:, , SS», , (Letter ‘L’. As shown, 2 matchsticks are, used to make one ‘L')

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Letter ‘LU. As shown, 2 matchsticks are, used to make one ‘L), , Number of matchsticks required = 2n., , Here n is the number of Ls required to, be made. So if one L uses two, matchsticks, then 2 Ls will use 4, matchsticks. This is obtained by the, following rule:, , , , 2n = 2(2) = 4., , Here nis a variable and we can put a, number depending how many Ls we, are required to make., , The use of variable can be further, understood by solving some questions.

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Problem : Find the rule which gives the, number of matchsticks required to, make the following matchsticks, patterns. Use a variable to write the, rule. A pattern of letter as, , (Letter ‘U’), Solution:, , Number of matchsticks used to make, one U=3, , Number of matchsticks required = 3n, , Where n is the number of Us required, to be made.

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Problem: Oranges are to be transferred, from larger boxes into smaller boxes., When a large box is emptied, the, oranges from it fill two smaller boxes, and still 10 oranges remain outside. If, the number of oranges in a small box, are taken to be x, what is the number, of oranges in the larger box?, , eS, @&