Higher Leaving cert Algebra

  • 1

    Linear Equations

    • Example 1: Linear Equation LC OL 2018

    • Example 2: Linear Equation with fractions LC OL 2019 Q4

    • Example 3: Equation with fractions ( becomes a quadratic)

    • Example 4: Linear Equation OL 2017

    • Example 5: Linear Equation OL 2016

    • Example 6: Linear equation OL 2018

  • 2

    Quadratics

    • solving a quadratic with the big x method

    • Verify the solutions of a quadratic

    • Solving Quadratics using the minus b formula

    • Verify solution to a quadratic OL 2012

    • Equation with fractions

    • Using the Descriminent ( b^2 - 4ac) e.g. 1

    • HL Q1 2017 (c, d) descriminent, - b formula

    • Completing the square - max/ min points

    • Using Descriminent ( b^2 - 4ac) e.g. 2

    • Completing the square HL 2017

    • OL 2015 minus b and finding a max/min point

    • Completing the square example 1

    • Completing the square example 2

    • Forming a quadratic when you have roots

    • Quadratic division / factorisation OL 2015 Q3

    • solving a quadratic with the big x method

    • Forming a quadratic from the roots

    • Study Skills Algebra 1 - Creating your own Quadratic questions

  • 3

    Cubic Equations

    • Example 1: Solving cubic equations

    • forming and solving a cubic equation

    • Example 2: Forming a cubic equation when you have the roots

    • 2015 Q2 Solving a Cubic Equation

  • 4

    Equating coefficients

    • Equating coefficients e.g 1

    • Equating coefficients e.g 2

    • 2019 Q1 (a) Equating Coeficients

    • Equating Coefficients e.g 3

    • Equating Coefficients e.g 4

    • Equating Coefficients e.g 5

    • Equating coefficients e.g 6

  • 5

    Abstract Long Division

    • Example 1: HL Cubic term divided by a quadratic term, equating coeficients

    • Example 2: HL Cubic term divided by a quadratic term, with equating coeficients

    • Example 3: Cubic term divided by a quadratic term, finding coeficients

    • Example 4: Abstract Long division

  • 6

    Binomial Theorem

    • Example 1 Expanding brackets using the binomial theorem

    • Example 3: Expanding brackets using the binomial theorem

  • 7

    Inequalities

    • Example 1 Linear Inequality OL 2016

    • Example 2: linear Inequality

    • Example 3: Quadratic Inequality (HL 2013 Q2)

    • Example 4: Rational Inequality HL

    • Example 5: Modulus Inequality HL

    • Modulus inequality e.g.2

    • Example 6: Rational Inequality HL

  • 8

    Equations with indices

    • Example 1: Index equation

    • Example 2 : OL 2013 Index equation

    • Example 3: OL 2014 Index equation

    • Example 4: OL 2019 Index equation

    • Example 5 Index equation (HL)

  • 9

    Equations with surds (Square roots)

    • Equations with surds (Square roots) e.g 1

    • Equations with surds (Square roots) e.g. 2

  • 10

    Logs

    • Logs - Basic definiftion - recap index equations

    • Logs - Basic definiftion - recap index equations

    • Equations with logs example 1

    • Equations with logs example 2

    • Simultaneous equations with logs example 1

  • 11

    Modulus Equations

    • Example of a modulus equation ( both methods)

  • 12

    Simultaneous Equations

    • Simultaneous equations

    • 3 Variable simultaneous equations eg. 1

    • 3 Variable Simultaneous equation HL 2013

    • One linear equation and one nonlinear HL 2012

    • 2 Variable Simultaneous equation OL 2016

    • One linear equation one non linear OL 2019 Q4

    • 2 Variable Simultaneous equation OL 2016

    • One linear equation one non linear OL 2017