1 / 46

Algebra CAT

Algebra CAT. 2012. Solve. Solve. Factorise. Factorise. Solve. Solve. Simplify. Simplify. Show that x = 12 is the only real solution to. Show that x = 12 is the only real solution to. Where a is a positive number. The difference between the solutions to the equation is 10.

drake
Download Presentation

Algebra CAT

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 CAT 2012

  2. Solve

  3. Solve

  4. Factorise

  5. Factorise

  6. Solve

  7. Solve

  8. Simplify

  9. Simplify

  10. Show that x = 12 is the only real solution to

  11. Show that x = 12 is the only real solution to

  12. Where a is a positive number. • The difference between the solutions to the equation is 10. • Find the value of a.

  13. A square room and a hallway are to have carpet laid on the floor. • 123m2 of carpet is required to cover both the hallway and the room. • The width of the hallway is 6m less than the length of the room. • The hallway is 5m longer the the length of the room. • Write an equation showing this relationship and solve this equation to find the length of the room.

  14. A square room and a hallway are to have carpet laid on the floor. • 123m2 of carpet is required to cover both the hallway and the room. • The width of the hallway is 6m less than the length of the room. • The hallway is 5m longer the the length of the room. • Write an equation showing this relationship and solve this equation to find the length of the room. X + 5 x X-6 x

  15. Question 2

  16. Simplify fully

  17. Simplify fully

  18. Factorise fully the following expression and write in its simplest form

  19. Factorise fully the following expression and write in its simplest form

  20. Expand and simplify

  21. Expand and simplify

  22. Simplify

  23. Simplify

  24. Solve

  25. Solve

  26. The formula for the volume of a cylinder is • Where r is the radius and h is the height of the cylinder. • Write the formula for the radius, r, of the cylinder in terms of V, h and π

  27. The formula for the volume of a cylinder is • Where r is the radius and h is the height of the cylinder. • Write the formula for the radius, r, of the cylinder in terms of V, h and π

  28. The length of a straight straw that will just fit in a cylindrical can with a height of 8 cm is given by: • Where r is the radius of the can. • A straight straw that is 3 times as long (3L) just fits in a larger can that has the same height. • Write an expression for the radius of the larger can R in terms of r.

  29. The length of a straight straw that will just fit in a cylindrical can with a height of 8 cm is given by: • Where r is the radius of the can. • A straight straw that is 3 times as long (3L) just fits in a larger can that has the same height. • Write an expression for the radius of the larger can R in terms of r.

  30. Question 3 • Simplify fully

  31. Question 3 • Simplify fully

  32. Solve

  33. Solve

  34. Solve

  35. Solve

  36. Sarah borrows her friend’s car for a holiday. • She agrees to pay $7 a day and $1 per kilometre that she travels. • Write an equation for the amount P Sarah agrees to pay.

  37. Sarah borrows her friend’s car for a holiday. • She agrees to pay $7 a day and $1 per kilometre that she travels. • Write an equation for the amount P Sarah agrees to pay.

  38. Sarah travelled 185 km and should pay her friend $213. • Use your equation to find the number of days Sarah borrowed the car for.

  39. Sarah travelled 185 km and should pay her friend $213. • Use your equation to find the number of days Sarah borrowed the car for.

  40. Emma is 3 times as old as Tara. • In another 7 years Emma will be twice as old as Tara will be. • Write at least one equation and use algebra to fine Emma’s age now.

  41. Emma is 3 times as old as Tara. • In another 7 years Emma will be twice as old as Tara will be. • Write at least one equation and use algebra to fine Emma’s age now.

  42. Emma is 3 times as old as Tara. • In another 7 years Emma will be twice as old as Tara will be. • Write at least one equation and use algebra to fine Emma’s age now.

  43. If • Express x in terms of y

  44. If • Express xin terms of y

More Related