A17b – Solving linear equations in one unknown algebraically where the unknown is on both sides of the equation

This is the students’ version of the page. Log in above for the teachers’ version.

Part 1 – Solving linear equations in one unknown algebraically where the unknown is on both sides of the equation

Teacher resources for Part 1

Teachers: log in to access the following:

  • Slides in PDF (one slide per page, suitable for importing into IWB software)

Links to past exam questions

Teachers: log in to access these.

Part 2 – Solving linear equations involving algebraic fractions where the unknown is on both sides of the equation

Teacher resources for Part 2

Teachers: log in to access the following:

  • Slides in PDF (one slide per page, suitable for importing into IWB software)

Interactive GeoGebra applet: Solving equations step-by-step

This applet generates equations at your chosen difficulty level. You can also type in your own expressions to create a custom equation. (Take care when typing your own expressions; you may end up with an equation that has no solutions.)

Then you can then go about solving the equation. You may like to decide what you could do to one side of the equation (e.g. add, subtract, multiply or divide by a quantity, which could be a constant or an expression involving \(x\)) to make that side of the equation simpler. If you only do this to one side of the equation, you break the equation, so you’ll need to do it to the other side to repair the equation. In other words, you need to do the same thing to both sides. Then simplify both sides where possible. Repeat the process until you have solved the equation.

This applet should help you see what effect each operation has on different types of expressions. With some practice, you should be able to identify accurate and efficient routes to the solutions of these equations.