GCSE Algebra Revision Materials and Equations Practice

Explore a collection of GCSE algebra revision materials, including solving linear equations and common mishaps in algebraic simplification. Practice setting up equations and solving linear equations with provided examples and questions. Enhance your algebra skills through comprehensive content designed for GCSE students. Engage with visual aids, equations, and challenging problems to improve your understanding of algebra concepts.

• GCSE Algebra
• Linear Equations
• Algebraic Simplification
• Equations Practice
• Revision Materials

yzul Follow

Uploaded on Sep 13, 2024 | 0 Views

Download Presentation

Please find below an Image/Link to download the presentation.

The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. Download presentation by click this link. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.

Presentation Transcript

1. GCSE: Algebra & Solving Linear Equations Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 24th August 2013

2. Algebra Common Mishaps Either answer the following or identify the mistake made. ? + ?2= ?2+ 2?? + ?2 ? ? ?2= ?2 2?? + ?2 ? ? ? ? ? = ? ?? + ?? ? 3? + 4 ? + 4 3? ? ? + 3 =2? 3 4? + 3 = 2? 3 4

3. Algebraic Simplification Revision ? ?2+ ? + ? + 1 = ??+ ?? + ? 2?2? + ??2 ?2? = ??? + ??? 9 3? + 5? = ? + ?? 6? 3? = ???? 2? 3?? = ???? 3?? ?? = ????? 5? 5= ? 3?2 ? 3?2? 6??2= ?? 1 ? 2 ? 3? 2? + 5 = 6?2+ 15? 3 4 5 6 ? 11 ? ? ? ? ? 2 + ? = 2? + ?? ?? ? + ? = ?2? + ??2 ? ? ? ? ? ? = ?? ?? ? + 3 ? + 3 = ?? + 3? + 3? + 9 ? + ? ? ? = ?2 ?2 2? ? ? ? = 2?? 2? ?2+ ?? ? 22= ?2 4? + 4 2? + 12= 4?2+ 4? + 1 12 13 ? ? 14 15 16 7 ? ? ? 8 17 = ?? ? ? ? 18 19 ? 9 ? ? 3? ? =12? 20 12??2? 18??2=??? 4 ? 10 ? ? ??

4. Solving Linear Equations ?? + ? ? ?? = ? ? ? =? ? ?

5. Solving Linear Equations y = -2 z = 0 x = 7 y= -10 ? h) 7? + 1 = 9? + 5 i) ? + 3 = 2? + 3 j) 2(? + 1) = 9 + ? k) 6 + 3 ? 2 = 5(? + 4) l) ? 2 2 ? = 3(? 2) ? m) 6 ? + 5 = 23 ? n) 5 2? + 3 = 2 3 ? + 3 ? ? ? x = 2 y = -2 t=-1 y = 5 x = -2 x = 1 ? = ? ? ? ? ? ? ? ? a) 3? = ? + 4 b) 6? = 4? 4 c) 3 1 ? = 6 d) 8? 3 = 6? + 7 e) 10? + 3 = 7? 3 f) ? = 2 ? g) 25 1 2? = 35 x = -2 ? x=-1 ? ? ? = ? ? ? o) 2 2? 5 = 4(1 ?) ? =? ? ?

6. Setting up equations People in the left row work on this: People in the middle row work on this: People in in the right row work on this: The area of the shape is twice its perimeter. Determine ?. Your mum s age in 6 years time is 3 times as much as it was 6 years ago. How old is your mum? ? ?? 235 3? ? 10 ? 2?2= 2 6? ? = 6 ? + 6 = 3 ? 6 ? = 12 ? ? + 225 = 180 ? = 45 ? ?

7. GCSE Questions June 2012 ? = 39 ?

8. GCSE Questions ? = 42m2 ?

9. GCSE Questions June 2013 ? =3 2?

10. A* Question ???? = ???? ?

11. Exercises Edexcel GCSE Mathematics Textbook Page 146 Exercise 10B Q2, 3, 9, 11-14

12. Solving Equations involving Fractions T ten die Fraktionen!! The first thing you always do whenever you see an equation involving fractions: Multiply through by the denominator(s), so no fractions!

13. Solving Equations involving Fractions 16 ? 4 ? = 4 ? = 1 ? 2? 1 2 ? 5 =5 ? =1 ? 3 4 8

14. Solving Equations involving Fractions ? 2= ? 3 ? = 6? 3? 4 2 +2? + 1 =8 ? ? = 2? 5 3

15. Exercises ? + 1 3 =? 1 ? 1 ? = 7 4 2 =4 2 ? ? ? = 2 12 ? 3 2? 3= 4 ? = 3 4 ?+ 2 = 3 ? ? = 4 4 ? 3+? ? =12 ? 5 4= 1 7 5 6 6 ? ?= 1 ? = 1