Practice questions of P04A Equations (I): Foundation
P04A Equations (I): Foundation
Time Allowed
50 min
No. of Qs
24
Language
English
Learning Objectives
- Solve linear and quadratic equations using various algebraic methods (factorisation, completing the square, quadratic formula).
- Understand and use the discriminant of a quadratic equation to determine the nature and number of its real roots.
- Interpret the roots, intercepts, and turning points of quadratic functions graphically.
- Solve simultaneous equations involving two unknowns (linear/linear and linear/quadratic systems) algebraically and understand their graphical interpretation.
- Solve equations involving absolute values by considering cases or graphical methods.
- Solve irrational equations (containing square roots) by appropriate manipulation, ensuring to check for extraneous solutions.
- Solve some higher-order polynomial equations that are reducible to quadratic form or can be factorised.
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