Quadratic Equations – 3 Solution Methods: Factorization + Completing Square + Formula

 28595 2026-09-10 Equations and Identities

No. 1  Quadratic equations are a core topic in DSE Mathematics, appearing in both Paper 1 Section A(1) and A(2). This article covers the three essential solution metho . . . . .

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Cross-Topic: Simultaneous Equations + Quadratic Equations

 52967 2026-09-08 Equations and Identities

No. 2  In DSE Paper 1 Section B, you will often encounter systems that combine a linear equation with a quadratic equation. Geometrically, this means finding the inter . . . . .

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"No Solution" vs "Infinite Solutions" in Simultaneous Equations

 26787 2026-09-06 Equations and Identities

No. 3  Not every system of simultaneous linear equations has a unique solution. Some have no solution (parallel lines), while others have infinite solutions (coinciden . . . . .

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Handling Simultaneous Equations with Fractions or Decimals

 82383 2026-09-04 Equations and Identities

No. 4  Simultaneous equations often contain fractions or decimals, which can make them look intimidating. However, the key is to clear the fractions or decimals first . . . . .

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Simultaneous Equations Word Problems: Age, Quantity & Mixture Problems

 52576 2026-09-02 Equations and Identities

No. 5  

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Graphical Solution of Simultaneous Equations & Intersection Meaning

 35359 2026-08-31 Equations and Identities

No. 6  In DSE Mathematics, simultaneous linear equations can be solved not only algebraically but also graphically. This article explains how to plot two straight line . . . . .

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Two Methods for Simultaneous Equations: Substitution & Elimination

 86977 2026-08-29 Equations and Identities

No. 7  Simultaneous equations are a pair of equations with two unknown (usually x and y) that are true at the same time. In DSE Paper 1 Section A(1) and A(2), you will . . . . .

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Linear Equations MC Speed Techniques (Substitution Method)

 37337 2026-08-27 Equations and Identities

No. 8  In DSE Paper 2, you have limited time to answer multiple-choice questions. Solving every equation step by step is often too slow. The substitution method allows . . . . .

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Cross-Topic Applications: Equations with Percentage/Ratio

 98733 2026-08-25 Equations and Identities

No. 9  Many DSE questions combine linear equations with percentages and ratios. This article teaches you how to translate percentage increase/decrease, profit/loss, an . . . . .

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"Identical" vs "Contradictory" Linear Equations

 88859 2026-08-23 Equations and Identities

No. 10  Most linear equations have exactly one solution. However, there are two special cases: identical (or identity) equations that have infinitely many solutions, an . . . . .

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