Algebra www mathsrevision com Level 4 Revision of

Algebra www. mathsrevision. com Level 4+ Revision of Like Terms Revision of Removing Brackets Factorising 09 -Mar-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 4+ 2 cm 3 cm 6 cm 09 -Mar-21 Created by Mr. Lafferty Maths Dept. 2 cm

Algebra Simplifying Algebraic Expressions www. mathsrevision. com Level 4+ Learning Intention Success Criteria 1. We are learning to simplify terms. 1. Understand the techniques for simplifying terms. 2. Be able too simplify algebraic expressions. 09 -Mar-21 Created by Mr. Lafferty Maths Dept.

Algebra Simplifying Algebraic Expressions Level 4+ www. mathsrevision. com Collecting LIKE terms -m + a 1 + 4 g (NOT 5 g ) 7 k 2 09 -Mar-21 (NOT 7 k 6) Created by Mr. Lafferty Maths Dept.

Algebra Simplifying Algebraic Expressions Level 4+ www. mathsrevision. com Multiplying Terms 6 d 4 h e 2 (NOT 2 e ) 8 a 2 (NOT 8 a) 09 -Mar-21 Created by Mr. Lafferty Maths Dept.

Algebra Simplifying Algebraic Expressions Level 4+ www. mathsrevision. com Dividing Terms 4 3 e 09 -Mar-21 Created by Mr. Lafferty Maths Dept.

Algebra Removing Brackets www. mathsrevision. com Level 4+ Now try TJN 4+ Ex 5. 1 Ch 5 (page 31) 09 -Mar-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 4+ 2 a 6 h 100 60 09 -Mar-21 Created by Mr. Lafferty Maths Dept. o o

Algebra Removing brackets www. mathsrevision. com Level 4+ Learning Intention Success Criteria 1. We are learning how to multiply out simply algebraic brackets and collecting like terms. 09 -Mar-21 1. Understand the key steps in removing brackets and simplifying. 2. Created by Mr. Lafferty Maths Dept. Apply multiplication rules for positive and negative numbers when removing brackets.

Removing a Single Bracket Level 4+ www. mathsrevision. com Example 3(b + 5) = 3 b + 15 Example 4(w - 2) = 4 w - 8 09 -Mar-21 Created by Mr. Lafferty@mathsrevision. com

Removing a Single Bracket Level 4+ www. mathsrevision. com Example a(b + 5) = ab + 5 a Example p(w - 2) = pw - 2 p 09 -Mar-21 Created by Mr. Lafferty@mathsrevision. com

Removing a Single Bracket Level 4+ www. mathsrevision. com Example y(y - 1) = y 2 - y Example 7 w(w - 3) = 7 w 2 - 21 w 09 -Mar-21 Created by Mr. Lafferty@mathsrevision. com

Removing a Single Bracket Level 4+ www. mathsrevision. com Example a(a 2 + 3 b) = a 3 + 3 ab Example y 2(3 y -2 c) = 3 y 3 - 2 cy 2 09 -Mar-21 Created by Mr. Lafferty@mathsrevision. com

Removing a Single Bracket Level 4+ www. mathsrevision. com Example -(x + y) = -x - y Example -5(a - 7) = -5 a + 35 09 -Mar-21 Created by Mr. Lafferty@mathsrevision. com

Removing a Single Bracket Level 4+ www. mathsrevision. com Example 09 -Mar-21 Tidy Up 7 + 3(4 - y) = 7 + 12 - 3 y = 19 - 3 y Tidy Up 9 - 3(8 - y) = 9 - 24 + 3 y = -15 + 3 y Created by Mr. Lafferty@mathsrevision. com

www. mathsrevision. com Level 4+ x Removing a Single Bracket Example 12 10 Find my Area 09 -Mar-21 (x - 2) A = Lx. B A = 12 x A = 10(x – 2) Created by Mr. Lafferty@mathsrevision. com

Removing Two Single Brackets Level 4+ Tidy Up www. mathsrevision. com Example 4(m - 3) - (m + 2) = 4 m - 12 - m - 2 = 3 m - 14 Example Tidy Up 7(y - 1) - 2(y + 4) = 7 y - 7 - 2 y - 8 = 5 y - 15 09 -Mar-21 Created by Mr. Lafferty@mathsrevision. com

Removing a Single Bracket Level 4+ www. mathsrevision. com Example : Find area of the orange border 12 x 10 Area =Big Rec – Small Rec (x - 2) = 12 x – 10(x - 2) = 12 x -10 x + 20 = 2 x + 20 09 -Mar-21 Created by Mr. Lafferty@mathsrevision. com

Removing Two Single Brackets www. mathsrevision. com Level 4+ Example : Find an expression for the difference in the areas. (y - 5) 7 A = 7(y - 4) Calculate Diff = 3 x 14 – 8 difference if = 34 y = 14 09 -Mar-21 A = 4(y – 5) 4 Difference = 7(y - 4) - 4(y – 5) = 7 y - 28 - 4 y + 20 = 3 y - 8 Created by Mr. Lafferty@mathsrevision. com

Removing Two Single Brackets www. mathsrevision. com Level 4+ Example : Find an expression for the difference in the areas. (x + 1) 9 A = 9(x + 3) x+3 Calculate Diff = 2 x 4 + 20 difference if =28 x=4 09 -Mar-21 A = 7(x + 1) 7 Difference = 9(x + 3) - 7(x + 1) = 9 x + 27 – 7 x - 7 = 2 x + 20 Created by Mr. Lafferty@mathsrevision. com

Algebra Removing Brackets & Simplifying www. mathsrevision. com Level 4+ Question : Find the area of the large rectangle, then the small rectangle and hence find the area of the red section. x Ab= 6 x x-3 6 4 As= 4(x - 3) = 4 x - 12 As= 6 x - 4(x - 3) = 6 x - 4 x + 12 = 2 x + 12 09 -Mar-21 Created by Mr. Lafferty Maths Dept.

Algebra Removing Brackets www. mathsrevision. com Level 4+ Now try TJN 4+ Ex 5. 2 Ch 5 (page 32) 09 -Mar-21 Created by Mr. Lafferty Maths Dept.

Starter Questions Level 4+ www. mathsrevision. com Q 1. Expand out a (4 y – 3 x) -2 y Q 2. Write out in full Q 3. True or False all the factors of 5 x 2 are 1, x, 5 09 -Mar-21 Created by Mr. Lafferty@mathsrevision. com

Factorising Using Factors www. mathsrevision. com Level 4+ Learning Intention Success Criteria 1. To show to factorise terms using the Highest Common Factor and one bracket term. 09 -Mar-21 1. To identify the HCF for given terms. 2. Factorise terms using the HCF and one bracket term. Created by Mr. Lafferty@www. mathsrevision. com

Check by multiplying Factorising Level 4+ www. mathsrevision. com Example out the bracket to get back to where you Factorise 3 x +started 15 1. Find the HCF for 3 x and 15 2. HCF goes outside the bracket 3. To see what goes inside the bracket divide each term by HCF 3 x ÷ 3 = x 09 -Mar-21 15 ÷ 3 = 5 Created by Mr. Lafferty@www. mathsrevision. com 3 3( ) 3( x + 5 )

Check by multiplying Factorising out the bracket to get back to where you 2 started Level 4+ www. mathsrevision. com Example Factorise 2 x – 4 xy + 6 1. Find the HCF for 2 x 2, 4 xy and 6 2. HCF goes outside the bracket 3. To see what goes inside the bracket divide each term by HCF 2 x 2 ÷ 2 = x 2 6÷ 2=3 09 -Mar-21 4 xy ÷ 2 = 2 xy Created by Mr. Lafferty@www. mathsrevision. com 2( 2 ) 2(x 2 - 2 xy +3)

Factorising Level 4+ www. mathsrevision. com Factorise the following : 09 -Mar-21 3 x + 6 4 xy – 2 x 3( x + 2 ) 2 x( 2 y - 1) Created by Mr. Lafferty@mathsrevision. com

Factorising Level 4+ www. mathsrevision. com Factorise the following : 6 a + 18 a 2 p( q - r ) 6 a( 1 + 3 a) 09 -Mar-21 pq – pr Created by Mr. Lafferty@mathsrevision. com

Factorising Level 4+ www. mathsrevision. com Factorise the following : 6 xy – 8 xz + 2 x 2 x( 3 y – 4 z + 1 ) 09 -Mar-21 Created by Mr. Lafferty@mathsrevision. com 3 p 2 – 12 pb 3 p( p – 4 b )

Algebra Removing Brackets www. mathsrevision. com Level 4+ Now try TJN 4+ Ex 5. 3 Ch 5 (page 33) 09 -Mar-21 Created by Mr. Lafferty Maths Dept.