Download presentation

Presentation is loading. Please wait.

1
**Equations with the unknown on both sides.**

Lesson Objective: An equation is like a set of scales. To keep it balanced, whatever you do to one side you must do to the other. Use this idea to solve equations like: 3x + 1 = x + 7 2 (3x + 1) = 3 (x – 2)

2
**Solving equations: 2x + 1 = x + 5 Subtract x from each side x + 1 = 5**

Only want ‘x’ on one side 2x + 1 = x + 5 Subtract x from each side x + 1 = 5 Subtract 1 from each side x = 4 Check your answer. Does the equation balance? 2x = P

3
**Solving equations: 5x - 2 = 2x + 4 Subtract 2x from each side**

Only want ‘x’ on one side 5x - 2 = 2x + 4 Subtract 2x from each side 3x - 2 = 4 Add 2 to each side 3x = 6 Divide each side by 3 x = 2 Check your answer. Does the equation balance? 5x = 2x P

4
**On whiteboards: Solve each equation**

2x + 2 = x + 9 3x + 1 = x + 5 6x – 8 = 4x 5x + 1 = x - 11 x = 7 x = 2 x = 4 x = -3

5
**In your books: Write each equation and solve it to find x.**

2x – 1 = x + 3 3x + 4 = x + 10 5x – 6 = 2x 4x + 1 = x - 8 2x + 3 = x + 10 4x – 1 = 3x + 7 Extension: 2x - 6 = - 3x + 9 x = 4 x = 3 x = 2 x = -3 x = 7 x = 8

6
**Solving equations with brackets:**

2 (x + 3) = x + 11 Multiply out the bracket 2x + 6 = x + 11 Subtract x from each side x + 6 = 11 Subtract 6 from each side x = 5

7
**Solving equations with brackets on both sides:**

2 (3x – 1 ) = 3 (x + 2) Multiply out the brackets 6x - 2 = 3x + 6 Subtract 3x from each side 3x -2 = + 6 Add 2 to each side 3x = 8 Divide each side by 3 x = 8/3 = 2 2/3

8
**In your books: Write each equation and solve it to find x.**

2 (x + 3) = x + 7 5 (2x - 1) = 3x + 9 2 (5x + 2 ) = 5x - 1 3 (x – 1) = 2 (x + 1) 3 (3x + 2) = 2 (x + 1) 3 (4x – 3) = 2 (2x + 3) Extensions: 7(x – 2) = 3 (2x – 7) 3(3x - 1) = 5 (x – 7)

9
**How could you check each answer?**

2 (x + 3) = x + 7 5 (2x - 1) = 3x + 9 2 (5x + 2 ) = 5x - 1 x = 1 means 2 (1 + 3) = 1 + 7 2 x 4 = 8 P x = 2 means 5 (2x2 -1) = 3x2 + 9 5 x 3 = P x = -1 means 2 (5 x-1 +2) = 5 x-1 -1 2 (-5 + 2) = -5 -1 2 x -3 = P

Similar presentations

OK

Unit 3: Modeling using Equations Minds On. Unit 3: Modeling using Equations Solving Polynomial Equations (2) Learning Goal I can solve equations.

Unit 3: Modeling using Equations Minds On. Unit 3: Modeling using Equations Solving Polynomial Equations (2) Learning Goal I can solve equations.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on india political history Simple ppt on global warming Ppt on do's and don'ts of group discussion topic Ppt on online examination system in php Ppt on vegetarian and non vegetarian relationships Ppt on electronic media in communication Presenting ppt on ipad Start a ppt on a remote computer Ppt on pi in maths Ppt on branches of mathematics