Solve Equations and Inequalities with Control
Work through quadratics, the formula, surd equations and inequalities with a method you can trust under pressure, and learn where marks are usually lost.
Solve linear and non-linear systems by substitution, keep your ordered pairs matched, and handle the exponent-law questions that look harder than they are.
By the end, you can
solve a simultaneous system by substitution and present the solutions as correctly paired values.
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Simultaneous Equations and Algebraic Substitution
Two unknowns, two equations
One equation with two unknowns has endless solutions. Two equations pin them down, because the answer must satisfy both at once. ➗
In Grade 12 one of the two is usually not linear, which rules out simply adding the equations. Substitution is the method that always works, and it is worth doing the same way every time.
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Simultaneous Equations and Algebraic Substitution
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Next on the Mathematics P1 path · step 11 of 11
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Work through quadratics, the formula, surd equations and inequalities with a method you can trust under pressure, and learn where marks are usually lost.
Tell arithmetic patterns from quadratic ones using differences, build the general term for each, and read sigma notation without panic.
Use the first and second derivatives to analyse a cubic graph, locate turning and inflection points, and build the equation of a tangent.
Differentiate from first principles when asked, apply the power rule everywhere else, and know what a derivative actually tells you about a graph.
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The whole Mathematics P1 path → All High School MicroQuests → Browse all 134 →
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Simultaneous Equations and Algebraic Substitution
R19 · 13 min · certificate