Download presentation

Published byTabitha Bevens Modified over 3 years ago

1
GCSE Mathematics Targeting Grade C Unit 1 Algebra 1

2
**Can you: If not you need Simplify linear expressions**

Use brackets in Algebra Try a test Understand the rule of indices Use substitution in expressions TOP 1: Review 1 - collecting like terms Practice 1: Multiplying a bracket by a whole number or letter Practice 2: Expand the brackets and simplify the expression by collecting the like terms TAIL 1 Practice 3: Multiplying and dividing indices in algebra TOP 2: Review 2 – substituting numbers for letters TAIL 2 If not you need

3
**Are you ready for the answers ?**

TOP 1: Simplify (i) 3g + 5g (ii) 3x + y - x + 2y (2) (b) 4a + 9b – 3a – 5b (1) (c) 3p + q – 2p – 2q 2w – 4v –3w + 2v 3x² - 2x + x² + x (1) (Total 7 marks) 8g 2x + 3y a + 4b p - q -2v -w 4x² - x Lesson

4
**Are you ready for the answers ?**

Practice 1: Expand the brackets: (a) (i) 7(n – 3) (ii) 4(2x – 3) (iii) p(q – 2p) Multiply out: (3) 5(2y – 3) (1) (c) x(2x +y) (2) 7n - 21 8x -12 pq – 2p² 10y - 15 2x² + xy Lesson

5
**Are you ready for the answers ? Practice 2: Expand and simplify: **

(i) 4(x + 5) + 3(x – 7) (2) (ii) 5(3p + 2) – 2(5p – 3) (iii) (t + 4)(t – 2) (iv) (x + 3y)(x + 2y) 4x x = 7x - 12 15p p = 5p +16 t² - 2t + 4t = t² + 2t -8 x² + 2xy + 3xy + 6y² = x² + 5xy + 6y² Lesson

6
**1 2 3 4 5 6 7 8 9 10 TAIL 1 Are you ready for the answers ?**

e + f + e +2f 2x² + 2x + 3x² - x 2(a + b) 5(2d + 2e) x(x + y) a(3a + 2b) 3(x + y) + 2(x – 2y) 5(3x + 2) – 3(4x – 3) (x + 3)(x - 2) (2a + b)(3a – 2b) Answers

7
TAIL 1 1 2 3 4 5 6 7 8 9 10 e + f + e +2f 2e + 3f 5x² + x 2x² + 2x + 3x² - x 2(a + b) 2a + 2b 5(2d + 2e) 10d + 10e x(x + y) x² + xy a(3a + 2b) 3a² + 2ab 5x - y 3(x + y) + 2(x – 2y) 5(3x + 2) – 3(4x – 3) 3x + 19 (x + 3)(x - 2) x² + x - 6 Lesson (2a + b)(3a – 2b) 6a² - ab –2b²

8
**Can you remember the rules of indices (or powers)**

Can you remember the rules of indices (or powers)? When MULTIPLYING, you ADD the powers. e.g. 3¹ X 3² = 3³ When DIVIDING, you SUBTRACT the powers. e.g. 4³ ÷ 4² = 4¹ .. and for few more click mouse… Anything to the POWER 1 is just ITSELF. e.g. 5¹ = x¹ = x Anything to the POWER 0 is just 1. e.g. 6º = xº = 1 When RAISING one power to another, you MULTIPLY the powers. e.g. (3²)³ = 36 (45)² = 4¹0 Now try some questions

9
**Can you Simplifying indices? Are you ready for the answers ?**

Write down your solutions to: 1. k³ ÷ k² 2. p² × p3 p² + p² + p² x8 × x³ x6 x4 a7 x a3 x² x x³ x² (7) Are you ready for the answers ? k¹ p5 3p² x¹¹ x² a¹º x³ Lesson

10
**Are you ready for the answers ?**

By using substitution answer the following questions: (i) Work out the value of 2a + ay when a = 5 and y = –3 (2) (ii) Work out the value of 5t² - 7 when t=4 Work out the value of 5x + 1 when x = –3 (iv) Work out the value of D when: (4) D = ut + 2kt If u = 5 t = 1.2 k = –2 (3) Are you ready for the answers ? -5 73 -14 1.2 Lesson

11
**TAIL 2 Are you ready for the answers ? Simplify 3p + q – p +2q 2p + 3q**

Simplify 3y² - y² Simplify 5c + 7d – 2c – 3d Simplify 4p x 2q Simplify x³ + x³ 2p + 3q 2y² 3c + 4d 8pq 2x³ Some more questions

12
**Are you ready for the answers ?**

Can you work out the answers to these? 1. 3¹ º (2³) (4² x 4¹) ÷ (2³ x 2²) 3 1 2¹² 2 Lesson

Similar presentations

OK

AIMS Math Prep Jan 9-20 Evaluating expressions, simplifying expressions, compound interest formula.

AIMS Math Prep Jan 9-20 Evaluating expressions, simplifying expressions, compound interest formula.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on poem song of the rain Short ppt on french revolution Ppt on ozone depletion in australia Ppt on instrument landing system suppliers Maths ppt on circles for class 10 download Ppt on current account deficit greece Convert pdf ppt to ppt online student Ppt on blood stain pattern analysis cases Ppt on review of literature paper Animated ppt on magnetism facts