Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Given a linear or a quadratic function and asked whether it is continuous. Part of HELM Book 2.4.

Solving inequalities that involve a quadratic and where the right-hand side is 0.

Solving inequalities that involve a quadratic and where the right-hand side is not 0. 

The student is given a quadratic formula and asked to fill in a table of values of $f(x)$ for a given range of $x$.

The table uses the spreadsheet extension.

Factorising a quadratic expression of the form $a^2x^2-b^2$ to $(ax+b)(ax-b)$, using the difference of two squares formula.

Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation

Solving a quadratic equation via factorisation (or otherwise) with the $x^2$-term having a coefficient of 1.

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Solving a pair of simultaneous equations of the form $a_1x+y=c_1$ and $a_2x^2+b_2xy=c_2$ by forming a quadratic equation.

Multiple choice - select the quadratic graph.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Factorising a quadratic expression of the form $ax^2+bx+c$ by completing the square.

Factorising a quadratic expression of the form $x^2+bx+c$ by completing the square.

Solving a quadratic equation via factorisation, with the $x^2$-term having a coefficient of 1.

Factorising a quadratic expression with the $x^2$-term having a coefficient of 1.

Factorising a quadratic expression with the $x^2$-term having a coefficient of 1.

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Identifying some of the basic properties (intercepts, asymptotes, quadrants) of a rational function (quadratic over linear)

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Quiz covering basic arithmetic with complex numbers, solving a quadratic with complex solutions and converting to/from polar and rectangular forms.

Practice factorising different types of quadratics. Repeat as many times as you want. 

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Tags: algebra, equations (linear), equations (quadratic)

Last updated Sep 2019