Algebra with Whole Numbers Simplifying. Simplify x6x6.

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Presentation transcript:

Algebra with Whole Numbers Simplifying

Simplify x6x6

x6x6

y6y6

x8x8

x3x3

x4x4

y5y5

Cannot simplify

Simplify 6x56x5

6x66x6

12x 8

Simplify 12x 12

Simplify 4x64x6

4x44x4

2x52x5

2x22x2

3y83y8

2x2x

3x43x4

9x69x6

6x86x8

2x52x5

5x85x8

8x 10

Simplify 4x34x3

5x65x6

3x63x6

6x96x9

12x 4

Exercise 9

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.

a. the perimeter of the paddock.

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

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.

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. Length = 8 cm Breath = 4 cm

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.

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

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

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

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.

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

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

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

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.

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

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

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

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.

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

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

Find (in terms of x ) its volume.