Solving quadratic equations using a formula,

This quiz contains questions on algebraic fractions, logarithmic equations, exponential equations, quadratic equations and simultaneous equations.

Solve quadratic equations using formula.

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

Selection of Quadratic Equations to Solve

The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

To find the script, look in the Scripts tab of part a.

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

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.

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

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

25 marks worth of questions on rearranging (n.b. assumes quadratics in some places)

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Students enter equation and turning point

No description given

This question asks a student to draw a straight line graph by dragging points.

Several quadratics are given and students are asked to complete the square.

Several quadratics are given and students are asked to complete the square.

No description given

No description given

Solve a quadratic equation by completing the square. The roots are not pretty!

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

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.

Several quadratics are given and students are asked to complete the square.

Solving quadratic equations using a formula,

Solve a quadratic equation by completing the square. The roots are not pretty!

Solve a quadratic equation by completing the square. The roots are not pretty!

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

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

Several quadratics are given and students are asked to complete the square.