Download presentation

1
**Multiplying Out Single Brackets.**

5 X ( 2X + & ) = 10 X ………

2
**What Does Multiplying Out A Bracket Mean ?**

Consider this rectangle broken into two areas as shown: 6 A1 A2 We are going to work out the area of this rectangle : x 2 Area = length breadth 6x + 12 A1 = 6 x = 6x Total Area = A2 = 6 2 = 12

3
**6 ( x + 2 ) = 6x + 12 Now consider the expression below: Golden Rule:**

Everything inside the bracket must be multiplied by the Number or term outside the bracket. 6 ( x + 2 ) = 6x + 12 The same as the area of the rectangle. Now multiply out the following brackets: (1) 4 ( x + 6 ) (2) 7 ( 2 x + 5 ) (3) 5 ( 8x + 9 ) = 4x + 24 = 14x +35 = 40x + 45

4
**What Goes In The Box 1? (1) 6 ( x + 3 ) = 6x + 18 (2) 3 ( 2x + 5 ) =**

Multiply out the brackets below : (1) 6 ( x + 3 ) = 6x + 18 (2) 3 ( 2x + 5 ) = 6x + 15 (3) 4 ( 6x + 7 ) = 24x + 28 (4) 9 ( 3x + 9 ) = 27x + 81 (5) 2 ( 3x + 4 ) = 6x + 8 (6) 8 ( 5x + 7 ) = 40x + 56

5
Some Algebra Revision. You should know the answer to the following questions: Multiply out : Calculate : (1) 2y 5 y = 10y 2 (1) 3 - 4 = -12 (2) 3w 4 w = 12w 2 (2) 6 - 7 = - 42 (3) 6r 7r = 42r 2 (3) - 3 8 = - 24 (4) 4f 3f = 12f 2 (4) 7 - 6 = - 42 (5) 9h 8h = 72h 2 (5) - 8 2 = - 16

6
**Harder Single Brackets.**

Multiply out the brackets below: (1) 3t ( 2t + 6 ) = 6t 2 + 18t 28w (2) 4w ( 3w - 7 ) = 12w 2 - (3) 5a ( 2a + 9 ) = 10a 2 + 45a (4) 2z ( 5z - 8 ) = 10z 2 - 16z

7
**What Goes In The Box 2 ? (1) 3x ( 4x – 7 ) = – (2) 6w ( 8w + 3 ) = +**

(3) 2f ( 3f - 5 ) = 6f 2 – 10f (4) 8r ( 6r + 3 ) = 48r 2 + 24r (5) 3d ( 5d - 9 ) = 15d 2 – 27d (6) 8a ( 9a + 3 ) = 172a2 + 24a

8
**More Than One Bracket. Consider the brackets below:**

Multiply out both brackets: 2( 3x + 6 ) + 2 ( 4x + 3 ) Gather like terms together. = 6x x + 6 = 6x + 8x Simplify by adding like terms. = 14x + 18 You have now multiplied out the brackets and simplified the expression.

9
**Multiply out the brackets below and simplify :**

4 ( 3x – 5 ) + 2 ( 3x – 7 ) Solution. 4 ( 3x – 5 ) + 2 ( 3x – 7 ) = 12x – x – 14 = 12x + 6x – 20 – 14 = 18x – 34

10
**Multiply out the brackets below and simplify :**

4 ( 2 b + 5 ) – 6 ( 3b – 4 ) Solution 4 ( 2 b + 5 ) – 6 ( 3b – 4 ) = 8b + 20 – 18b + 24 Remember that a negative times a negative makes a positive. = 8b – 18 b = – 10 b + 44

11
**What Goes In The Box 3 ? Multiply out and simplify the brackets below:**

(1) 2 ( x + 4 ) + 3 ( x + 5) (5) 2 ( 3g – 4 ) + 2 ( 4g – 6 ) = 5x +23 = 14g -20 (2) 3 ( 2a + 5 ) + 4 ( 3a + 3 ) (6) 5 ( 3f – 6 ) – 4( 2 f – 6 ) = 7f – 6 = 18a + 27 (7) 3 ( 4t – 6 ) – 7 ( 6t – 8) ( 3) 4 ( 5b + 2 ) + 3 ( 2b + 7) = 26b + 29 = - 30t + 38

Similar presentations

Presentation is loading. Please wait....

OK

Multiplying and Dividing Integers

Multiplying and Dividing Integers

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on viruses and anti viruses available Ppt on van de graaff generator experiments Ppt on e commerce business models Ppt on viruses and bacteria Sense organs anatomy and physiology ppt on cells Human brain anatomy and physiology ppt on cells Ppt on condition monitoring techniques Ppt on brain drain Ppt on limits and continuity solutions Ppt on mpeg audio compression and decompression