# Algebra and functions

May 29th, 2015
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Do not use a calculator in this test.1. Remove the brackets and simplify the following expressions.(i) 2(a – 3b) (ii) 3(2x + 3y) – 2(x – 2y) (iii) (2x – y)(x + 3y) 2. Factorise the following expressions as far as possible.

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Algebra and functionsChapter assessmentDo not use a calculator in this test.1. Remove the brackets and simplify the following expressions.(i) 2(a - 3b)(ii) 3(2x + 3y) - 2(x - 2y)(iii) (2x - y)(x + 3y)[6]2. Factorise the following expressions as far as possible.(i) 3xy - 6xy + 12xy(ii) 2ab + 8ab(iii) x + 5x - 6(iv) 2x - 9x + 4 [8]3. Write the following in terms of the simplest possible surd.(i)(ii)(iii)[6]4. Simplify:(i)(ii)(iii)[9]5. Rationalise the denominators of the following and simplify as far as possible(i)(ii) [4](iii)(iv) [6]6. Find the values of(i)(ii)(iii)[3](iv)(v)[4]7. Simplify(i)(ii)(iii) (iv) [8]8. Simplify(i)(ii)[6]Total 60 marksSolutions to Chapter assessment1. (i)(ii)(iii)2. (i)(ii)(iii)(iv)3. (i)(ii)(iii)4. (i)(ii)(iii)5. (i)(ii)(iii)(iv)6. (i)(ii)(iii)(iv)(v)7. (i)(ii)(iii)(iv)8. (i)(ii)

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