1. Algebra with Whole Numbers Simplifying

2. Simplify x6x6

3. x6x6

4. y6y6

5. x8x8

6. x3x3

7. x4x4

8. y5y5

9. Cannot simplify

10. Simplify 6x56x5

11. 6x66x6

12. 12x 8

13. Simplify 12x 12

14. Simplify 4x64x6

15. 4x44x4

16. 2x52x5

17. 2x22x2

18. 3y83y8

19. 2x2x

20. 3x43x4

21. 9x69x6

22. 6x86x8

23. 2x52x5

24. 5x85x8

25. 8x 10

26. Simplify 4x34x3

27. 5x65x6

28. 3x63x6

29. 6x96x9

30. 12x 4

31. Exercise 9

32. 4. The diagram shows that a rectangular paddock has a length of x metre and a breadth of y metre. It is enclosed by a fence apart from 4 gates (one on each side of the paddock) each z metre long. Find (in terms of x, y and z) a. the perimeter of the paddock. b. the length of the fence which encloses the paddock.

33. a. the perimeter of the paddock.

34. b. the length of the fence which encloses the paddock.

35. The diagram shows that the length of a rectangle, 2x cm, is twice its breadth, x cm. a. Find its perimeter (in terms of x). b. Find x if its perimeter is 24 cm. c. Hence state (in cm) the length and breadth of the rectangle.

36. a. Find its perimeter (in terms of x).

37. b. Find x if its perimeter is 24 cm.

38. c. Hence state (in cm) the length and breadth of the rectangle. Length = 8 cm Breath = 4 cm

39. 6. The diagram shows the wire framework of a cuboid. Its height is x cm, its breadth is 4 times its height, 4x cm, and its length is 5 times its height, 5x cm. a. Find (in terms of x) the total length of wire used to make the cuboid. b. Find x if the total length of wire used is 200 cm. c. Hence state (in cm) the height, breadth and length of the cuboid.

40. a. Find (in terms of x) the total length of wire used to make the cuboid. 40x

41. b. Find x if the total length of wire used is 200 cm. 40x = 200 x = 5 cm

42. c. Hence state (in cm) the height, breadth and length of the cuboid. Height = 5 cm Breath = 20 cm Length = 25 cm

43. 7. The diagram shows a farm gate made from tubular steel. It has a length of 12x cm, a breadth of 5x cm and diagonal stays of length 13x cm. a. Find (in terms of x) the total length of tubular steel used to make the gate. b. Find x if 1200 cm of tubular steel is used. c. Hence state (in cm) the length and breadth of the gate.

44. a. Find (in terms of x) the total length of tubular steel used to make the gate. 60x

45. b. Find x if 1200 cm of tubular steel is used. 60x = 1200 x = 20 cm

46. c. Hence state (in cm) the length and breadth of the gate. Length = 240 cm Breath = 100 cm

47. The diagram shows a prefabricated wooden truss. a. Find x if the horizontal length of the truss, from A to B, is 240 cm. b. Find (in terms of x ) the total length of wood used to make the truss. c. Find (in cm) the total length of wood used to make the truss.

48. a. Find x if the horizontal length of the truss, from A to B, is 240 cm. 48x = 240 x = 5 cm

49. b. Find (in terms of x ) the total length of wood used to make the truss. 105x

50. c. Find (in cm) the total length of wood used to make the truss. 525 cm = 5. 25 m

51. The diagram shows a solid cuboid to have a height of x cm, a length 3 times its height and a breadth of twice its height. Find (in terms of x ) a.the total length of its edges. b.its total surface area. c.its volume.

52. Find (in terms of x ) the total length of its edges. 24x

53. Find (in terms of x ) its total surface area.

54. Find (in terms of x ) its volume.