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ZIMSEC O-Level Mathematics

7.1Algebraic manipulation

Algebraic manipulation in ZIMSEC O-Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic103 practice questions5 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 7.1.1Write algebraic expressions and formulae from words and substitute values into them.
  2. 7.1.2Expand and simplify algebraic expressions, including products of two binomials.
  3. 7.1.3Factorise expressions using common factors, grouping, the difference of two squares and quadratic trinomials.
  4. 7.1.4Find the HCF and LCM of algebraic expressions and simplify, add, subtract, multiply and divide algebraic fractions.
  5. 7.1.5Change the subject of a formula.

Lessons

  • Algebraic expressions and substitution

    30 min

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  • Algebraic fractions

    35 min

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  • Changing the subject of a formula

    35 min

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  • Expanding brackets

    30 min

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  • Factorising algebraic expressions

    35 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Algebraic manipulation: sample question

1 mark

What is the highest common factor (HCF) of 12a2b12a^2b and 18ab318ab^3?

Choose one answer

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