Algebra.
Simplify, expand and factorise expressions, work with algebraic fractions, and rearrange and check formulas.
Work through the topic
Learn the method, follow the examples, then try the worksheet.
- 01
Simplifying expressions
Collect like terms and use the structure of an expression to simplify it without changing its value.
- 02
Expanding products
Use the distributive law to expand products accurately, including negative signs and variable factors.
- 03
Common-factor factorisation
Reverse the distributive law by identifying the greatest factor shared by every term.
- 04
Algebraic fractions and restrictions
State the values excluded by an algebraic denominator and cancel factors without changing the original domain.
- 05
Operations with algebraic fractions
Add, subtract, multiply and divide algebraic fractions while retaining all original restrictions.
- 06
Equations with algebraic fractions and rational coefficients
Clear algebraic denominators, solve the resulting equation and reject any value excluded by the original problem.
- 07
Rearranging formulas
Make a chosen variable the subject by undoing operations, including formulas where the variable appears more than once.
- 08
Checking solutions and domains
Check an algebraic answer against original restrictions and distinguish an algebraic domain from a practical one.
Topic review
Revisit the key ideas, then choose a practice paper.