Expanding single brackets Level 5 a) 5(t+2) f) 2(8b+2) k) 6(q+2) p) 5(2+g) = 5t + = = 6q + = b) 3(2j+4) g) 5(9y-3) l) 8(3e+1) q) 10(3h+2) = + = = + = c) 7(k-3) h) 7(2a-2) m) 6(r-4) r) 3(12-z) = - = = - = d) 6(2w+2) 8(2+k) n) 5(2u+3) s) 7(3m+11) = + = = + = e) 8(p-1) j) 5(6-2f) o) 5(4d-2) t) 4(3-2b) = - = = - =

Sheet 3 Sheet 4 a) 5v(t+2) f) 5c(2d+e) a) r(2s+2) f) -2f(t+2) = + = = Expand the bracket: Expand the bracket: a) 5v(t+2) f) 5c(2d+e) a) r(2s+2) f) -2f(t+2) = + = = + = 5tv 2rs b) -2(y+2) g) -3(2n-1) b) -3(2k+3) g) -3(u-2) = - = = - = -2y -6k c) 5d(e-3) h) -8k(2-d) c) 4g(j-2) h) 3r(-t-2) = - = = - = d) 7(2t+2) i) 5v(v+3) d) -8(m+2) i) -p(3p+5) = = = = e) -3(3h+1) j) 4f(2f-g) e) 5z(2-t) j) 6t(7-2t) = = = =

Sheet 5 Sheet 6 a) ( + ) f) ( + ) a) ( + ) f) ( + ) 5 t 5 t = 25h + 10 Find the question: Find the question: a) ( + ) f) ( + ) a) ( + ) f) ( + ) 5 t 5 t = 25h + 10 = 8k + 12 = 5t + 10 = 5t + 10 b) ( + ) g) ( - ) b) ( + ) g) ( + ) 3 3 = 21g + 14 = 9w + 3 = 4u - 6 = 12h + 3 h) ( ) h) ( ) c) ( + ) c) ( + ) 2 2 = 10f + 8 = 14j- 12 = 2h + 14 = 2j + 4 d) ( + ) i) ( ) d) ( - ) i) ( ) = 4k + 2 = 6g-3 = 18k - 9 = 9 + 6m e) ( + ) j) e) ( + ) j) = 18p + 3 = 5c+ 5 = 4m + 6 = 8m - 8

Sheet 7 Sheet 8 a) 15h+30 d) 6h+6 a) 30j + 40 d) 15h - 10 b) 12m - 18 When we put expressions into brackets it is called factorising, this is the same as undoing expanding: When we put expressions into brackets it is called factorising, this is the same as undoing expanding: Example: Example: 2(3x-6) 3(2x-4) 6(x-2) 2(3x-6) 3(2x-4) 6(x-2) Factorise: 6x-12 Factorise: 6x-12 These are all correct answers, but 6(x-2) is the best answer because the number outside the bracket is as big as possible These are all correct answers, but 6(x-2) is the best answer because the number outside the bracket is as big as possible (2,3 & 6 are all factors of 6 and 12, but 6 is the h.c.f.) (2,3 & 6 are all factors of 6 and 12, but 6 is the h.c.f.) Factorise: Factorise: a) 15h+30 d) 6h+6 a) 30j + 40 d) 15h - 10 b) 12m - 18 e) 42k+14 b) 12p + 16 e) 35 + 21g c) 21b + 7 f) 30n - 20 c) 20 + 16w f) -6m - 3