1 / 25

Algebra with Whole Numbers

This exercise involves solving algebraic equations to find the perimeters, lengths, and dimensions of rectangular paddocks, cuboids, and gates.

lindaerodriguez
Download Presentation

Algebra with Whole Numbers

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Algebra with Whole Numbers Word Problems

  2. Exercise 9

  3. 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.

  4. a. the perimeter of the paddock.

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

  6. 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.

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

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

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

  10. 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.

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

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

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

  14. 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.

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

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

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

  18. 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.

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

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

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

  22. 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 ) • the total length of its edges. • its total surface area. • its volume.

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

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

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

More Related