GCSE Higher Revision Starters 12

Module 3 and 5 Algebra RevisionNon – calculator

Factorise the following

10x + 2512a – 2036m + 18

36a + 27b + 9c9y² - 12y

30ab³ + 35a²b24x4y³ - 40x²y

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

Factorise the following

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

x² - 49x² - 121

Solve

4x+2=3x+1210x-3=5x+273x - 6 = 10 – x

6x + 2 = 37 - 4x5(2x + 3) = 8x + 23

x² + 15x + 26 = 0x² + 2x - 24 = 0

x² - 81 = 0

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

4x

x + 12

5x-3