# CXC CSEC General Proficiency math topic:

## ALGEBRA

These are the specific learning objectives that CXC has set for this CSEC math topic

 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: a2 - b2, a2 + 2ab + b2, ax + bx +ay + by; ax2 + 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 non-linear 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
Fivestar

Juvette Calder (not verified) 16 May 2009 - 3:52pm

### mathematics

This did not give me any Caribbean Examination Council mathematics questions just Caribbean Examination Council mathematics topics

reynessa (not verified) 4 November 2009 - 6:12pm