ZIMSEC A-Level Pure Mathematics
6.1.3Identities, equations and inequalities
Identities, equations and inequalities in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic59 practice questions3 lessons
Learning objectives
What the syllabus expects you to be able to do.
- 6.1.3.1Form 5: distinguish between an equation and an identity, and find unknown coefficients in polynomials using identities.
- 6.1.3.2Form 5: solve simultaneous equations of which at least one is linear and at most one is quadratic.
- 6.1.3.3Form 5: decompose rational functions into partial fractions, including improper fractions.
- 6.1.3.4Form 5: use the discriminant to determine the number of real roots of a quadratic equation and solve related problems.
- 6.1.3.5Form 5: solve polynomial equations and problems using the factor and remainder theorems.
- 6.1.3.6Form 5: solve inequalities, including rational inequalities, and model situations with equations and inequalities.
Lessons
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Completing the square and the discriminant
40 min
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Partial fractions
40 min
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Quadratic equations, inequalities and simultaneous equations
45 min
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Sample question
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