www mathsrevision com Algebra Simplifying Algebraic Expressions Removing

www. mathsrevision. com Algebra Simplifying Algebraic Expressions Removing Brackets & Simplifying Evaluating Expressions Factorising – The common factor 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Starter Questions 2 cm 3 cm 6 cm 11/2/2020 Created by Mr. Lafferty Maths Dept. 2 cm

Algebra www. mathsrevision. com Simplifying Algebraic Expressions Learning Intention Success Criteria 1. To review tidying up expressions. 1. To remember the phrase ‘ like terms. ’ 2. To be able to simplify simple algebraic expressions by collecting ‘ like terms. ’ 11/2/2020 Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Simplifying Algebraic Expressions Reminder ! We can only add and subtract “ like terms “ 11/2/2020 Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Simplifying Algebraic Expressions Reminder ! Multiplying terms ( NOT 2 b ) ( NOT 8 m ) 11/2/2020 Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Simplifying Algebraic Expressions Question : Find the area of each of the 3 sections of this shape. What is the total area. y 11/2/2020 1 2 3 2 y 2 Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Simplifying Algebraic Expressions Now try Exercise 1 Ch 11 (page 46) 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Starter Questions 2 a 6 h 100 60 11/2/2020 Created by Mr. Lafferty Maths Dept. o o

Algebra www. mathsrevision. com Removing brackets Learning Intention 1. To explain how to multiply out simply algebraic brackets. Success Criteria 1. Understand the key steps in removing brackets. 2. 11/2/2020 Created by Mr. Lafferty Maths Dept. Apply multiplication rules for integers numbers when removing brackets.

Algebra www. mathsrevision. com Removing brackets Simply multiply everything inside the bracket by what is outside the bracket 2(x + 4) = 2 x + 8 3(2 a – 5 b) = 6 a – 15 b 2 p ( p +3 ) = p + 3 p 2 3 x ( 4 x – 8 y ) = 12 x -24 xy 11/2/2020 Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Removing brackets Simply multiply everything inside the bracket by what is outside the bracket -2(x + 4) = -2 x - 8 -3 (d – 1) = -3 d + 3 -( p +3 ) = - p - 3 11/2/2020 Created by Mr. Lafferty Maths Dept. (-3) x (-1) = 3

Algebra www. mathsrevision. com Removing brackets Question : Find the area of the rectangle (i) With brackets (ii) Without brackets. 4 Y+5 11/2/2020 Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Removing brackets Now try Exercise 2 Ch 11 (page 48) 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Starter Questions (x+2)cm 11/2/2020 Created by Mr. Lafferty Maths Dept. 7 cm

Algebra www. mathsrevision. com Removing Brackets & Simplifying Learning Intention 1. Explain how to remove brackets and simplify. Success Criteria 1. Understand how to remove brackets 2. Apply rules integer numbers. 3. Tidy up after removing brackets. 11/2/2020 Created by Mr. Lafferty Maths Dept.

BODMAS Algebra www. mathsrevision. com Removing Brackets & Simplifying Simply multiply everything inside the bracket by what is outside the bracket and then gather like terms 2(x + 5) - 7 = 2 x + 10 -7 = 2 x + 3 4(3 p + 2 q) – 7 q = 12 p + 8 q – 7 q = 12 p + q 3 (a + 4) + 2 (a – 1) = 3 a + 12 +2 a – 2 = 5 a + 10 3(2 x + 5) – 2(x - 1) = 6 x + 15 -2 x +2 = 4 x + 17 11/2/2020 Created by Mr. Lafferty Maths Dept.

BODMAS Algebra www. mathsrevision. com Removing Brackets & Simplifying Simply multiply everything inside the bracket by what is outside the bracket and then gather like terms 5 - 2(x + 1) = 5 -2 x -2 = 3 - 2 x BODMAS 11/2/2020 Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Removing Brackets & Simplifying Question : Find the area of the large rectangle, then the small rectangle and hence find the area of the red section. x 6 11/2/2020 x-3 4 Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Removing Brackets & Simplifying Now try Exercise 3 Ch 11 (page 50) 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Starter Questions (x+2)cm 11/2/2020 Created by Mr. Lafferty Maths Dept. 7 cm

Algebra www. mathsrevision. com Evaluating Expressions – number for letter Learning Intention 1. To show to evaluate an expression given values for the letters. Success Criteria 1. Be able to substitute numbers for letters in an expression. 2. Use previous knowledge to evaluate expression. 11/2/2020 Created by Mr. Lafferty Maths Dept.

Algebra Evaluating Expressions – number for letter www. mathsrevision. com Given the following information find the values of : BODMAS a = 3 ; b = 4 and c = -1 11/2/2020 Created by Mr. Lafferty Maths Dept.

Algebra Evaluating Expressions – number for letter www. mathsrevision. com Given the following information find the values of : a = 3 ; b = 4 and c = -1 11/2/2020 Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Evaluating Expressions – number for letter Now try Exercise 4 Ch 2 (page 51) 11/2/2020 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Starter Questions 11/2/2020 Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Factorising – The Common Factor Learning Intention 1. To show to reverse the process of removing bracket ‘factorising’. Success Criteria 1. Be able to recognise the HCF for set of values. 2. Understand the term factorising. 3. Factorise simple expressions. 11/2/2020 Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Factorising – The Common Factor Simply find the HCF for a given set of data and write the data using brackets : - HCF ? 4 11/2/2020 The reverse process is ‘factorising’ Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Factorising – The Common Factor Simply find the HCF for a given set of data and write the data using brackets : HCF ? 6 HCF ? 4 11/2/2020 Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Factorising – The Common Factor Simply find the HCF for a given set of data and write the data using brackets : HCF ? a HCF ? 3 x 11/2/2020 Created by Mr. Lafferty Maths Dept.

Algebra www. mathsrevision. com Factorising – The Common Factor Now try Exercise 5 Ch 11 (page 54) 11/2/2020 Created by Mr. Lafferty Maths Dept.