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:

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

Perform the four basic operations with algebraic expressions;

Perform operations involving directed numbers (integers);

Substitute numbers for algebraic symbols in simple algebraic expressions;

Translate verbal phrases into algebraic symbols and vice versa;

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

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

Simplify algebraic fractions;

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

Solve linear equations in one unknown;

Solve simultaneous linear equations in two unknowns algebraically;

Solve a simple linear inequality in one unknown;

* Optional objectives