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Algebra with Whole Numbers Word Problems

Algebra with Whole Numbers Word Problems. Exercise 9

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Page 1: Algebra with Whole Numbers Word Problems. Exercise 9

Algebra with Whole Numbers

Word Problems

Page 2: Algebra with Whole Numbers Word Problems. Exercise 9

Exercise 9

Page 3: Algebra with Whole Numbers Word Problems. 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.

Page 4: Algebra with Whole Numbers Word Problems. Exercise 9

a. the perimeter of the paddock.

Page 5: Algebra with Whole Numbers Word Problems. Exercise 9

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

Page 6: Algebra with Whole Numbers Word Problems. Exercise 9

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.

Page 7: Algebra with Whole Numbers Word Problems. Exercise 9

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

Page 8: Algebra with Whole Numbers Word Problems. Exercise 9

b. Find x if its perimeter is 24 cm.

Page 9: Algebra with Whole Numbers Word Problems. Exercise 9

c. Hence state (in cm) the length and breadth of the rectangle.

Length = 8 cm

Breath = 4 cm

Page 10: Algebra with Whole Numbers Word Problems. Exercise 9

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.

Page 11: Algebra with Whole Numbers Word Problems. Exercise 9

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

cuboid.

40x

Page 12: Algebra with Whole Numbers Word Problems. Exercise 9

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

40x = 200

x = 5 cm

Page 13: Algebra with Whole Numbers Word Problems. Exercise 9

c. Hence state (in cm) the height, breadth and length of the cuboid.

Height = 5 cm

Breath = 20 cmLength = 25 cm

Page 14: Algebra with Whole Numbers Word Problems. Exercise 9

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.

Page 15: Algebra with Whole Numbers Word Problems. Exercise 9

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

the gate.

60x

Page 16: Algebra with Whole Numbers Word Problems. Exercise 9

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

60x = 1200

x = 20 cm

Page 17: Algebra with Whole Numbers Word Problems. Exercise 9

c. Hence state (in cm) the length and breadth of the gate.

Length = 240 cm

Breath = 100 cm

Page 18: Algebra with Whole Numbers Word Problems. Exercise 9

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.

Page 19: Algebra with Whole Numbers Word Problems. Exercise 9

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

48x = 240

x = 5 cm

Page 20: Algebra with Whole Numbers Word Problems. Exercise 9

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

truss.

105x

Page 21: Algebra with Whole Numbers Word Problems. Exercise 9

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

525 cm = 5. 25 m

Page 22: Algebra with Whole Numbers Word Problems. Exercise 9

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.

Page 23: Algebra with Whole Numbers Word Problems. Exercise 9

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

24x

Page 24: Algebra with Whole Numbers Word Problems. Exercise 9

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

Page 25: Algebra with Whole Numbers Word Problems. Exercise 9

Find (in terms of x ) its volume.