5 Brackets Multiply out a single bracket 5

5. Brackets • • • Multiply out a single bracket 5 b Multiply out brackets involving algebra 5 a Evaluate expressions involving brackets 5 a Simplify expressions involving brackets 6 a Simplify expressions to find constants in an identity Reference Material Text book: section 7. 4 MEP: 8. 8 Algebra – Brackets section 1 6 a

• Multiply out a single bracket 5 b 4(3 + 2) = 4 x 3 + 4 x 2 = 12 + 8 = 20 • Evaluate expressions involving brackets 5 a • Multiply out brackets involving algebra 5 a Canoe Method the wave ( the number at the front) washes over everything in the brackets 7(4 + a) = 28 + 7 a 7(3 + 2 a) = 21 + 14 a 2(4 e – 6) = 8 e - 12 5(6 – 4 d) = 30 – 20 d

• Evaluate expressions involving brackets 5 a • Multiply out brackets involving algebra 5 a Grid method 24 t 12 15 a 35 18 t 36 30 f -54 56 -16 d 18 -15 t 2 a² a 3 g² -g 1) 6(4 t + 2) = 24 t + 12 2) 5(3 a + 7) = 15 a + 35 3) 9(2 t + 4)= 18 t +36 4) 6(5 f – 9)=30 f - 54 5) 8(7 – 2 d) = 56 – 16 d 6) 3(6 – 5 t) = 18 – 15 t 7) a(2 a + 1) = 2 a² + a 8) g(3 g – 1) = 3 g² - g February 2022

• Simplify expressions involving brackets 7(4 + a) + 3 = 28 + 7 a + 3 = 7 a + 31 6 a 7(3 + 2 a) – 5 a = 21 + 14 a – 5 a = 9 a + 21 2(4 e – 6) – 5 e + 4 = 8 e – 12 – 5 e + 4 = 3 e - 8 5(6 + 4 d) + 2(8 d + 3) = 30 + 20 d + 16 d + 6 = 36 d + 36 5(6 + 4 d) + 2(8 d - 3) = 30 + 20 d + 16 d – 6 = 36 d + 24 5(6 - 4 d) + 2(8 d + 3) = 30 – 20 d + 16 d + 6 = 36 – 4 d (or -4 d+ 36) 5(6 - 4 d) + 2(8 d - 3) = 30 – 20 d + 16 d - 6 = 24 – 4 d (or – 4 d +24) 5(6 - 4 d) - 2(8 d - 3) = 30 – 20 d - 16 d + 6 = 36 -36 d (or -36 d + 36)