1 / 16

Equation Rearrangement Examples and Solutions

Learn how to rearrange equations and find gradients with step-by-step examples and explanations.

amahmood
Télécharger la présentation

Equation Rearrangement Examples and Solutions

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. 2 1. Rearrange the equation 2p + 1 = 11 to make p the subject. what has happened top? inverse 2 = 11 p + 1 - 1

  2. u 2. Rearrange the equation uv + f = t to make v the subject. what has happened tov? inverse u = t v + f - f

  3. 3. Line L1 has equation y– 4x = 9, by rearranging the equation write down the gradient of the line L1 Wrong answers There is a temptation to say that the gradient is -4 (as this is what is multiplying x) or -4x = 11 y - 4x + 4x Gradient We have rearranged the equation of the line from y– 4x = 9 toy = 9 + 4x , the gradient is therefore + 4 (as this is what is multiplying x)

  4. 4. Line L2 has equation y– 6x = 12, by rearranging the equation write down the gradient of the line L2 Wrong answers There is a temptation to say that the gradient is -6 (as this is what is multiplying x) or -6x = 12 y - 6x + 6x Gradient We have rearranged the equation of the line from y– 6x = 12 toy = 12 + 6x , the gradient is therefore + 6 (as this is what is multiplying x)

  5. 2 5 (b) By rearranging the equation 2y – 6x = 12 to make y the subject write down the gradient of the line 2y – 6x = 12 There is a temptation to say that the gradient is -6 (as this is what is multiplying x), -6x or + 6 (taking -6x across the equals). Wrong answers 2 = 12 y - 6x + 6x Gradient If we divide the top of the fraction by two we get: y = 6 + 3x The gradient of the line is 3, as this is multiplying x.

  6. 5 (c) A student looks at the equation 2y – 6x = 12and writes down the y-intercept as equal to 12. Explain whether the student is correct or not. rearranged equation y = 6 + 3x general equation y = m x + c gradient y-intercept 6 =

  7. Will have to press more than once 6. Multiply out the brackets and collect like terms x x 1 2 x2 2 x 1 5 x 5 x 5 2 x 10 Collect like terms 25

  8. Will have to press more than once 6. Multiply out the brackets and collect like terms + + + Collect like terms + +

  9. Will have to press more than once 6. Multiply out the brackets and collect like terms x x 2 3 x2 6 x 2 4 x 8 x 3 3 x 9 Collect like terms 12

  10. Will have to press more than once 6. Multiply out the brackets and collect like terms + + + Collect like terms + +

  11. Will have to press more than once 6. Multiply out the brackets and collect like terms x x 3 2 x2 6 x 3 -1 x -3 x 1 2 x 2 Collect like terms -1

  12. Will have to press more than once 6. Multiply out the brackets and collect like terms + + + Collect like terms + +

  13. Will have to press more than once 6. Multiply out the brackets and collect like terms x x 1 1 x2 1 x 1 -1 x -1 x 2 1 x 2 Collect like terms -2

  14. Will have to press more than once 6. Multiply out the brackets and collect like terms + + + Collect like terms + +

  15. Will have to press more than once 6. Multiply out the brackets and collect like terms x x 1 1 x2 1 x 1 y xy 1 x y 1 xy 1 Collect like terms y2

  16. Will have to press more than once 6. Multiply out the brackets and collect like terms + + + Collect like terms + +

More Related