CXC math topic: ALGEBRA (2010)
CXC General Proficiency Math Topic: ALGEBRA (2010) 

GENERAL OBJECTIVES On completion of this section, students should: 1. appreciate the use of algebra as a language and a form of communication; 2. appreciate the role of symbols and algebraic techniques in solving problems in mathematics and related fields; 3. demonstrate the ability to reason with abstract entities. 

SPECIFIC OBJECTIVES: Students should be able to: 
CONTENT  
1.  use symbols to represent numbers, operations, variables, and relations; 
Symbolic representation. 
2. 
translate statements expressed algebraically into verbal phrases; 

3. 
perform arithmetic operations involving directed numbers; 

4. 
perform the four basic operations with algebraic expressions; 

5. 
substitute numbers for algebraic symbols in simple algebraic expressions; 

6.  perform binary operations (other than the four basic ones);  
7. 
apply the distributive law to factorize or expand algbraic expressions; 
For example, x(a+b) = xa+xb and (a+b) (x+y) = (a+b)x + (a+b)y = ax+bx+ay+by 
8. 
simplify algebraic fractions; 

9. 
use the laws of indices to manipulate expresssions 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 
change the subject of formulae; 

14 
factorize algebraic exxpressions; 
a^{2}b^{2}; a^{2} ± 2ab + b^{2} ax+ bx + ay + by ax^{2} + bx + c where a, b, c are integers and a ≠0

15  solve quadratic equations;  
16 
solve word problems; 

17 
solve a pair of equations in two variables when one equation is quadratic or nonlinear and the other is linear; 
Optional specific objective 
18 
prove two algebraic expressions to be identical; 

19 
represent direct and indirect variation symbolically; 

20 
solve problems involving direct variation and inverse variation. 

Here are our algebra tutorials to help you prepare for this section of the CXC math exam 
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