CONTENT:
Symbolic representations; directed numbers; algebraic fractions, factorization; equations; inequalities and their graphs, simultaneous equations, formulae, indices. Linear inequalities: solution of quadratic equations; transformation of algebraic expressions, equations, formulae and identities; direct variation and inverse variation; set builder notation for expressing the solution set of equations.

SPECIFIC OBJECTIVES: The student should be able to:

1. 
Use symbols to represent numbers, operations, variables, and relations;

2. 
Perform the four basic operations with algebraic expressions;

3. 
Perform operations involving directed numbers (integers);

4. 
Substitute numbers for algebraic symbols in simple algebraic expressions;

5. 
Translate verbal phrases into algebraic symbols and vice versa;

6. 
Use symbols to represent binary operations (other than the four basic ones) and perform simple computations with them;

7. 
Apply the distributive law to insert or remove brackets in algebraic expressions, for example, ax ± bx = (a ± b)x;

8. 
Simplify algebraic fractions;

9. 
Use the laws of indices to manipulate expressions with integral indices;

10. 
Solve linear equations in one unknown;

11. 
Solve simultaneous linear equations in two unknowns algebraically;

12. 
Solve a simple linear inequality in one unknown;

13. 
Use linear equations to solve word problems;

14. 
Use sumultaneous equations to solve word problems;

15. 
Use investigations to make inferences and generalizations utilizing the concepts listed above.

16. 
Factorize expressions of the forms:
a^{2}  b^{2}, a^{2} + 2ab + b^{2}, ax + bx +ay + by;
ax^{2} + bx + c where a, b, c are integers;

17. 
Recognize the difference between those algebraic statements that represent equations and those that represent identitites;

18. 
Use linear inequalities to solve word problems.

19. 
Solve quadratic equations by:
(a) factorization
(b) using the quadratic formulae;

*20. 
Solve quadratic equations by completing the square;

21. 
Solve problems involving quadratic equations;

*22. 
Solve a pair of equations in two variables when one equation is quadratic or nonlinear and the other is linear;

23. 
Change the subject of formulae including those involving roots and powers;

24. 
Manipulate algebraic expressions involving rational indices;

25. 
Prove two algebraic expressions to be identically equal;

26. 
Represent direct and inverse variations symbolically;

27. 
Perform calculations involving direct variation and inverse variation.

* Optional objectives

Recent comments
1 week 1 day ago
3 weeks 3 days ago
3 weeks 4 days ago
3 weeks 5 days ago
3 weeks 5 days ago
3 weeks 6 days ago
3 weeks 6 days ago
4 weeks 6 hours ago
4 weeks 1 day ago
4 weeks 1 day ago