1. AS 1.1 Starters Focusing on ‘Achieve’ Starter A Starter B Starter C Starter D End Starter E Starter F Starter G Starter H

2. 1) 4m 2 × 12m 2) 24e 5 ÷ 6e 3 3) 3p + 12w – 4p – 14w 4) (g 2 ) 4 5) 6) Expand 5(w + 3) 7) Expand w(w – 5) 8) Expand 3p(p – 4) 9) Solve 5m = 40 10) Solve 3(e + 5 ) = 45 Simplify (if possible) Algebra AS 1.1 Starter A Back Solutions

3. 1) 4m 2 × 12m 2) 24e 5 ÷ 6e 3 3) 3p + 12w – 4p – 14w 4) (g 2 ) 4 5) 6) Expand 5(w + 3) 7) Expand w(w – 5) 8) Expand 3p(p – 4) 9) Solve 5m = 40 10) Solve 3(e + 5 ) = 45 Simplify (if possible) Algebra AS 1.1 Starter A Back = 48m 3 = 4e 2 = -p – 2w = g 8 = w 4 = 5w + 15 = w 2 – 5w = 3p 2 – 12p m = 8 e = 10 Solutions

4. Algebra AS 1.1 Starter B Back Solutions Simplify (if possible) 1) 6e 5 × 8e 3 2) 64g 12 ÷ 16g 8 3) (2e 5 ) 2 4) 5e 2 × (4e 3 ) 2 5) 6) Expand 2e(e + 5) 7) Expand w 2 (w – 6) 8) Expand & simplify 2(p – 6) + 5(p + 4) 9) Factorise m 2 + 7m 10) Solve 4e – 5 = 45

5. Algebra AS 1.1 Starter B Back Solutions Simplify (if possible) 1) 6e 5 × 8e 3 2) 64g 12 ÷ 16g 8 3) (2e 5 ) 2 4) 5e 2 × (4e 3 ) 2 5) 6) Expand 2e(e + 5) 7) Expand w 2 (w – 6) 8) Expand & simplify 2(p – 6) + 5(p + 4) 9) Factorise m 2 + 7m 10) Solve 4e – 5 = 45 = 48e 8 = 4g 4 = 4e 10 = 80e 8 = 4e 3 = 2e 2 + 10e = w 3 – 6w 2 = 7p + 8 = m(m + 7) e = 12.5

6. Back Solutions Algebra AS 1.1 Starter C 1) 6w 4 e 2 × 2we 5 2) 3) (4c 4 ) 3 4) (8e 4 ) 2 ÷ 2e 3 5) 6) Expand 5e(3e + 10) 7) Expand & simplify 2w(w – 3) + 5w(2w + 3) 8) Factorise 4m + 14 9) Factorise 3e 2 + 9e 10) Solve 46 – 2e = 12

7. Algebra AS 1.1 Starter C Back Solutions 1) 6w 4 e 2 × 2we 5 2) 3) (4c 4 ) 3 4) (8e 4 ) 2 ÷ 2e 3 5) 6) Expand 5e(3e + 10) 7) Expand & simplify 2w(w – 3) + 5w(2w + 3) 8) Factorise 4m + 14 9) Factorise 3e 2 + 9e 10) Solve 46 – 2e = 12 = 12w 5 e 7 = 64c 12 = 32e 5 = 10w 32 = 15e 2 + 50e = 12w 2 + 9w = 2(2m + 7) = 3e(e + 3) e = 17

8. Back Solutions Algebra AS 1.1 Starter D 1) 5g 2 h × 14h 5 g 3 2) 3) (7ab 10 ) 2 4) (3g 2 ) 3 × 2g 5 5) 6) Expand e 2 (4 – e) 7) Expand & simplify 2(w + 12) – 5(2w + 1) 8) Expand (m + 4)(m + 6) 9) Factorise 9e 3 – 21e 10) Solve (g + 4)(g – 5) = 0

9. Algebra AS 1.1 Starter D Back Solutions 1) 5g 2 h × 14h 5 g 3 2) 3) (7ab 10 ) 2 4) (3g 2 ) 3 × 2g 5 5) 6) Expand e 2 (4 – e) 7) Expand & simplify 2(w + 12) – 5(2w + 1) 8) Expand (m + 4)(m + 6) 9) Factorise 9e 3 – 21e 10) Solve (g + 4)(g – 5) = 0 = 70g 5 h 6 g = -4 or g = 5 = 3e(3e 2 – 7) = m 2 + 10m + 24 = -8w + 19 = 4e 2 – e 3 = 3v 5 = 54g 11 = 49a 2 b 20

10. Algebra AS 1.1 Starter E Back Solutions If a = 4, b = 5 & c = -3 find: 1) b 3 2) 3) 2a + 5c 4) Simplify (6e 4 ) 2 ÷ 4e 6 5) 6) Expand (e – 3)(e + 10) 7) Expand & simplify 2w – 15 + 3(2w + 4) 8) Expand (p – 2)(p – 6) 9) Factorise g 2 + 12g + 20 10) Solve (e + 2)(e + 9) = 0

11. Algebra AS 1.1 Starter E Back Solutions = 11g 3 h If a = 4, b = 5 & c = -3 find: 1) b 3 2) 3) 2a + 5c 4) Simplify (6e 4 ) 2 ÷ 4e 6 5) 6) Expand (e – 3)(e + 10) 7) Expand & simplify 2w – 15 + 3(2w + 4) 8) Expand (p – 2)(p – 6) 9) Factorise g 2 + 12g + 20 10) Solve (e + 2)(e + 9) = 0 = 125 e = -2 or e = -9 = (g + 10)(g + 2) = p 2 – 8p + 12 = 8w – 3 = e 2 + 7e – 30 = 9e 2 = 2 x 4 + 5 x -3 = -7

12. Back Solutions Algebra AS 1.1 Starter F If a = 4, b = 5 & c = -3 find: 1) 3b 2 + 15 2) 3) Factorise 4p 2 + 20p 4) Simplify 5e 4 + (3e 2 ) 2 5) Expand (e + 5) 2 6) Expand (e – 9)(e + 5) 7) Factorise g 2 + 9g + 8 8) Expand (p – 6) 2 9) Factorise g 2 – 2g – 8 10) Solve e 2 – e – 12 = 0

13. Algebra AS 1.1 Starter F Back Solutions If a = 4, b = 5 & c = -3 find: 1) 3b 2 + 15 2) 3) Factorise 4p 2 + 20p 4) Simplify 5e 4 + (3e 2 ) 2 5) Expand (e + 5) 2 6) Expand (e – 9)(e + 5) 7) Factorise g 2 + 9g + 8 8) Expand (p – 6) 2 9) Factorise g 2 – 2g – 8 10) Solve e 2 – e – 12 = 0 e = -3 or e = 4 = (g + 2)(g – 4) = p 2 – 12p + 36 = e 2 + 10e + 25 = (g + 8)(g + 1) = e 2 – 4e – 45 = 14e 4 = 4p(p + 5) = -5 = 90

14. Algebra AS 1.1 Starter G Back Solutions Solve: 1) (b + 9)(b – 2) = 0 2) 4x + 3 = 2x + 11 3) Factorise 8x 2 + 8x 4) Simplify 3e 4 × (e 2 ) 5 5) Expand (w + 3) 2 6) Expand (e – 8)(e + 8) 7) Factorise g 2 + 8g + 12 8) Solve (p – 4) 2 = 0 9) Solve g 2 + 2g – 35 = 0 10) Solve e 2 – 81 = 0

15. Algebra AS 1.1 Starter G Back Solutions Solve: 1) (b + 9)(b – 2) = 0 2) 4x + 3 = 2x + 11 3) Factorise 8x 2 + 8x 4) Simplify 3e 4 × (e 2 ) 5 5) Expand (w + 3) 2 6) Expand (e – 8)(e + 8) 7) Factorise g 2 + 8g + 12 8) Solve (p – 4) 2 = 0 9) Solve g 2 + 2g – 35 = 0 10) Solve e 2 – 81 = 0 e = -9 or e = 9 g = -7 or g = 5 p = 4 = (g + 6)(g + 2) = w 2 + 6w + 9 = 3e 14 = 8x(x + 1) x = 4 b = -9 & b = 2 = e 2 – 64

16. Algebra AS 1.1 Starter H Simplify: 1) m 4 × m 3 2) 5m 5 × 2m 6 3) 18x 10 ÷ 6x 4 4) 3e 2 × (2e) 2 5) Expand 3e(e + 5) 6) Expand (e + 2)(e + 5) 7) Factorise g 2 + 6g + 8 8) Expand (p + 3) 2 9) Solve (g + 5) 2 = 0 10) Factorise p 2 – 81 Back Solutions

17. Algebra AS 1.1 Starter H Simplify: 1) m 4 × m 3 2) 5m 5 × 2m 6 3) 18x 10 ÷ 6x 4 4) 3e 2 × (2e) 2 5) Expand 3e(e + 5) 6) Expand (e + 2)(e + 5) 7) Factorise g 2 + 6g + 8 8) Expand (p + 3) 2 9) Solve (g + 5) 2 = 0 10) Factorise p 2 – 81 Back Solutions = m 7 = 10m 11 = 3x 6 = 12e 4 = 3e 2 + 15e = e 2 + 7e + 10 = (g + 4)(g + 2) = p 2 + 6p + 9 g = -5 or g = -5 = (p + 9)(p – 9)

18. Good Effort!!