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LCHL Maths – Algebra

Leaving Cert Higher Level Maths LCHL Maths – Algebra

LCHL Algebra

Your progress through this topic0 of 23 lessons

Lessons in this topic

All 23 lessons, in order — each one ticks off as you open it.

1Revision of Junior Cert factorising 2Factorising quadratic equations 3Factorising the sum of two cubes and difference of two cubes 4Revision of Junior Cert fractions 5Fractions Part 2 6Inequalities 7Rational Inequalities 8Quadratic graphs 9Nature of quadratic graphs 10Generating a cubic equation given the roots 11Solving cubic equations 12Nature of cubic roots 13Long division 14Manipulation of formula 15Modulus Equations 16Modulus graphs 17Surd equations 18Simultaneous equations in three variables 19Simultaneous Equations by substitution 20Pascal’s triangle 21Binomial Theorem 22Abstract Inequalities 23Iterative equations

Key ideas in this topic

The Quadratic Formula — The Quadratic FormulaAlgebra 2

Difference of Two Squares — Difference of Two SquaresAlgebra 1

Sum of Two Cubes — Sum of Two CubesAlgebra 3

Difference of Two Cubes — Difference of Two CubesAlgebra 3

The discriminant — two distinct real roots — The discriminant — two distinct real rootscrosses the x-axis twice

The discriminant — one repeated real root — The discriminant — one repeated real roottouches the x-axis

The discriminant — no real roots — The discriminant — no real rootsdoesn’t meet the x-axis

Check it against the exam

Jump straight to the fully worked solution for that paper.

2023 Paper 1 Q1 →2023 Paper 1 Q2 →2023 Paper 1 Q4 →2023 Paper 2 Q4 →2022 Paper 1 Q2 →

Topic Content

0% Complete 0/23 Steps

Algebra 1 – Revision of Junior Cert factorising

Algebra 2 – Factorising quadratic equations

Algebra 3 – Factorising the sum of two cubes and difference of two cubes

Algebra 4 – Revision of Junior Cert fractions

Algebra 5 – Fractions Part 2

Algebra 6 – Inequalities

Algebra 7 – Rational Inequalities

Algebra 8 – Quadratic graphs

Algebra 9 – Nature of quadratic graphs

Algebra 10 – Generating a cubic equation given the roots

Algebra 11 – Solving cubic equations

Algebra 12 – Nature of cubic roots

Algebra 13 – Long division

Algebra 14 – Manipulation of formula

Algebra 15 – Modulus Equations

Algebra 16 – Modulus graphs

Algebra 17 – Surd equations

Algebra 18 – Simultaneous equations in three variables

Algebra 19 – Simultaneous Equations by substitution

Algebra 20 – Pascal’s triangle

Algebra 21 – Binomial Theorem

Algebra 22 – Abstract Inequalities

Algebra 23 – Iterative equations

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