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**GCSE Higher Revision Starters 12 Module 3 and 5 Algebra Revision Non – calculator**

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Factorise the following 10x a – 20 36m a + 27b + 9c 9y² - 12y 30ab³ + 35a²b 24x4y³ - 40x²y

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**Expand and simplify the following**

(x + 7)(x + 5) (x - 4)(x + 5) (3x - 2)(x - 6) (2x + 1)(5x - 2) (x + 7)² (4x + 3)²

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**Factorise the following**

x² + 8x + 6 x² - 7x + 12 x² - 2x - 35 x² + x + 56 x² - 49 x² - 121

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Solve 4x+2=3x+12 10x-3=5x+27 3x - 6 = 10 – x 6x + 2 = x 5(2x + 3) = 8x + 23 x² + 15x + 26 = 0 x² + 2x - 24 = 0 x² - 81 = 0

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**a) Write an expression for the perimeter of the shape**

a) Write an expression for the perimeter of the shape. b) The perimeter of the shape is 23cm. Calculate the value of x. 3x+2 5x-3 4x x + 12

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