Download presentation

Presentation is loading. Please wait.

Published byBeverly Henry Modified over 6 years ago

1
Equations & Brackets.

2
You are now going to solve more complex equations by combining together two ideas that you have seen already. Try the following questions to make sure you are ready: Idea 1: Solve the equation 3x – 6 = 18 Solution : x = 8 Idea 2 : Multiply out the bracket 3 ( 2x – 4 ) Solution : 6x – 12 We are now going to combine these two ideas together to solve the equations on the following pages.

3
Solving Equations. Example 1. Solve the equation : 2 ( x + 4 ) = 14 Solution. 2( x + 4 ) = 14Multiply out the bracket first. 2x + 8 = 14 Subtract 8 from both sides. 2x = 6 Divide both sides by 2. x = 3Hint: check the solution by substituting x = 3 into the original equation.

4
Example 2. Solve Solve the equation : 2 ( 3x + 2 ) = 28 Solution: 2( 3x + 2 ) = 28 What should you do first ? Multiply out the bracket. 6x + 4 = 28 What comes next ? Subtract 4 from each side. 6x = 24 What comes next ? Divide each side by 6. x = 4 Check your answer by putting x = 4 back into the bracket.

5
Example 3. Solve the equation : 5( x – 3 ) = 20 Solution. 5 ( x – 3 ) = 20 What does 5 times –3 equal. -155x – 15 = 20 What must you do to both sides? Add 15 5x = 35 x = 7 Check the answer.

6
What Goes In The Box 1 ? Solve the following equations: (1) 2 ( x + 4 ) = 14 (2) 3 ( 2x + 5 ) = 27 (3) 5 ( 2x + 6 ) = 100 (4) 4 ( 3x – 5 ) = 40 (5) 7 ( 2 x – 6 ) = 28 (6) 3 ( 4 + 2x ) = 30 x = 3 x = 2 x = 7 x = 5 x = 3

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google