Interactive card sorter

Use this interactive sorter to group the cards according to the tools or methods you would use to solve them. You could use the suggested headings or make your own.

You could use the following headings to categorise your equations

  • Solve using indices
  • Solve using logarithms
  • Rewrite or rearrange first
  • Can’t solve exactly

Alternatively, since some equations may come under more than one heading, you could draw this as a Venn diagram.

\(3^x=81\)

\(x^5=50\)

\(3^x=43\)

\(5^{2x}-5^x-6=0\)

\(5^x+4^x=8\)

\(5^x+2\times5^{1-x}=7\)

\(3^{2x}-3=24\)

\(2^{2x}-9\times2^x+8=0\)

\(\sqrt{2x-3}=5\)

\(5^x-x^5=3\)

\(16^{\frac{3}{x}}=8\)

\(\left(\dfrac{13}{16}\right)^{3x}=\dfrac{3}{4}\)

Can you write some other equations to go in each of your sorting categories?