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

Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$.

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.

A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

Calculating particular harmonic components of a Fourier series expansion.

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

A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

Ask for the squares of five randomly-chosen numbers between 0 and 15.

The shuffle function puts a list in random order.

Differentiate

\[ \sqrt{a x^m+b})\]

The derivative of  $\displaystyle \frac{ax+b}{\sqrt{cx+d}}$ is $\displaystyle \frac{g(x)}{2(cx+d)^{3/2}}$. Find $g(x)$.

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

Several problems involving the multiplication of fractions, with increasingly difficult examples, including a mixed fraction and a squared fraction. The final part is a word problem. 

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

A parabolic graph is given. The question is to determine the equation of the graph. Non-calculator. Advice is given.

A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

Student is asked to sketch square root graph, by plotting several points and selecting the correct graph.

yuyyjghjgjgj

Differentiate

\[ \sqrt{a x^m+b})\]

No description given

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.

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

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

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

Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$.

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 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.

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

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

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