This document outlines the key concepts and skills students will learn in an algebra lesson, including: - Rules of indices - Multiplying brackets - Expanding the square of a binomial - Factoring expressions using common factors or grouping terms - Simplifying algebraic fractions - Factoring expressions using the difference of two perfect squares It then provides examples of problems involving these skills for students to practice.

1. ALGEBRA
By the end of the lesson you will be able to:
• Revise rules of indices.
• Multiply two brackets.
• Use the formula to expand the square of a binomial.
• Factorise expressions by using common factor or grouping terms.
• Simplify algebraic fractions.
• Factorise expressions by using difference of two perfect squares .

3. Write without using brackets:

4. 2 x ( x ­ 5 ) ­ ( x + 5 )=

7. (x + 2y)(x ­ 6y) ­ (x ­ y)(x ­ 3y) =
Expand:

8. Factorise:

9. Factorise:

10. Factorise:

11. Simplify:

12. Simplify:

13. Make x the subject of the formula:

14. Make r the subject of the formula:

15. Solve the equation:

16. Solve the equation:

17. Solve the equation:

18. Solve by substitution:

19. Solve by elimination method:

20. Solve :

21. Factorise the expression:
a ( 2 + x ) + b ( 2 + x) =

22. Factorise the expression:
2 a + a x + 2 b + b x =

23. Factorise the expression:
3 x ­ 3 y + ax ­ a y =

24. ( x ­ 5 ) ( x + a ) = x2
+ x a ­ 5 x ­ 5 a
Expand
Factorise

25. a x + b x + ay + by =
Factorise:

26. xy +mx + 3y +3 m =
Factorise:

27. t2
­ 3 ta + t ­ 3a=

28. Attachments
Difference of 2 Squares ﴾Geometric Demo﴿.ppt
5 Common factor & grouping.doc