1 / 13

Rearranging Equations

Rearranging Equations. Things to remember:. Don’t rush it. You must go through each stage of your method and not try to skip any. If you are making x the subject it means that you want to end up with x = and this is the only x in your answer.

regina
Download Presentation

Rearranging Equations

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. Rearranging Equations

  2. Things to remember: • Don’t rush it. You must go through each stage of your method and not try to skip any. • If you are making x the subject it means that you want to end up with x = and this is the only x in your answer. • Whatever you do to one side of the equals sign you must do to the other.

  3. Rearrange the equation to make a the subject b = 5a + 21 b – 21 = 5a b – 21 = a This means we want to rearrange the equation so it says a = -21 -21 ÷5 ÷5 5 Our answer should say ... a = b – 21 5

  4. Rearrange the equation to make t the subject h = 13 + 7t h – 13 = 7t h – 13 = t This means we want to rearrange the equation so it says t = -13 -13 ÷7 ÷7 7 Our answer should say ... t = h – 13 7

  5. Exercise One Rearrange each equation to make s the subject • u = 11s + 3 • w = 8s + p • q = 3s + 4t • 7s + m + t = l • a = 3(s + 4) • 4 = g(s – 7) • 22 + 5s = g • r = q – 3s Hint: You need to expand the brackets first

  6. 11 8 Rearrange each equation to make s the subject • u = 11s + 3  s = u - 3 • w = 8s + p  s = w – p • q = 3s + 4t  s = q – 4t • 7s + m + t = l  s = l – m – t • a = 3(s + 4)  s = a – 12 = a - 4 • 4 = g(s – 7)  s = 4 + 7g = 4 + 7 • 22 + 5s = g  s = g - 22 • r = q – 3s  s = q - r 3 7 3 3 g g 5 3

  7. Rearrange the equation to make v the subject e = 3v + t 5e = 3v + t 5e – t = 3v 5e – t = v This means we want to rearrange the equation so it says v = 5 x5 x5 - t - t ÷3 ÷3 3 Our answer should say ... v = 5e – t 3

  8. Rearrange the equation to make p the subject m = p + n m - n = p 2(m – n) = p This means we want to rearrange the equation so it says p = 2 - n - n 2 x2 x2 Our answer should say ... p = 2(m – n)

  9. a = x + x = Examplemore difficult Rearrange the equation a = x + to make x the subject. Method - ad = dx + cx multiply both sides by d dx + cx = ad rearrange to get x’s on the left x(d + c) = ad factorise divide by (d + c)

  10. a = + p = Examplemore difficult Rearrange the equation a = + to make p the subject. Method - apq = q + p multiply both sides by pq apq – p = q rearrange to get p’s on the left p(aq – 1) = q factorise divide by (aq – 1)

  11. Examplemore difficult Rearrange the equation a = b + to make p the subject. Method - a = b + a(1 + p) = b(1 + p) + c multiply both sides by 1 + p a + ap = b + bp + c expand brackets ap – bp = b + c – a rearrange to get p’s on the left factorise p(a – b) = b + c – a divide by (a – b) p =

  12. Examplemore difficult Rearrange the equation s = b + to make t the subject. Method - s = b + s – b = subtract b from both sides (s – b)² = square both sides = (s – b)² rearrange to get t on the left multiply by p t = p(s – b)²

  13. Check your answers on previous slides Test Yourself 4. Rearrange the equation s = b + to make t the subject. 1. Rearrange the equation a = x + to make x the subject. 2. Rearrange the equation a = + to make p the subject. 3. Rearrange the equation a = b + to make p the subject.

More Related