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© Boardworks Ltd 2004 1 of 60 KS3 Mathematics A1 Algebraic expressions

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© Boardworks Ltd 2004 2 of 60 A1.4 Dividing terms Contents A1 Algebraic expressions A1.3 Multiplying terms A1.2 Collecting like terms A1.1 Writing expressions A1.5 Factorising expressions A1.6 Substitution

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© Boardworks Ltd 2004 3 of 60 Dividing terms Remember, in algebra we do not usually use the division sign, ÷. Instead we write the number or term we are dividing by underneath like a fraction. For example, ( a + b ) ÷ c is written as a + b c

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© Boardworks Ltd 2004 4 of 60 Like a fraction, we can often simplify expressions by cancelling. For example, n 3 ÷ n 2 = n3n3 n2n2 = n × n × nn × n × n n × nn × n 1 1 1 1 = n 6 p 2 ÷ 3 p = 6p26p2 3p3p = 6 × p × p 3 × p 2 1 1 1 = 2 p Dividing terms

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© Boardworks Ltd 2004 5 of 60 Algebraic areas

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© Boardworks Ltd 2004 6 of 60 Hexagon Puzzle

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© Boardworks Ltd 2004 7 of 60 Algebraic multiplication square

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Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression following the division.

Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression following the division.

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