2.1 Algebraic Expressions

• Factorising, simplifying and evaluating algebraic expressions

• factorise algebraic expressions in different situations
• simplify algebraic fractions in different situations
• evaluate algebraic expressions by substituting numerical values in different situations
• enjoy using algebraic expressions in real life situations

“How do we factorise algebraic expressions?”

“How do we simplify algebraic expressions?”

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1. Like and unlike terms
   40 min · 1 practice tasks · quiz
   Deciding which terms can be added together, collecting them, and knowing when an answer is already finished.
2. Factorising by common factors
   40 min · 1 practice tasks · quiz
   Finding the highest common factor of every term, writing it outside a bracket, and checking by expanding.
3. Factorising by grouping
   40 min · 1 practice tasks · quiz
   Handling four terms with no factor common to all, by pairing them so that a shared bracket appears.
4. Simplifying algebraic fractions
   40 min · 1 practice tasks · quiz
   Cancelling whole factors from the top and bottom, factorising first when needed, and the cancelling that is never allowed.
5. Substituting numerical values
   40 min · 1 practice tasks · quiz
   Replacing letters with numbers, using brackets to protect negative values, and finishing with ordinary arithmetic.
6. Algebraic expressions in real life
   40 min · 1 practice tasks · quiz
   Formulas as expressions with a job, building one from a described situation, and using it for many sets of values.