Linear Equations and Inequalities

What the resources cover

The page spans the whole path from simple equations to graphs and systems. Flashcard decks such as Solving simple equations and Multi-Step equations cover the basics, with worked examples like 5x+4=24. Further along, there are resources on equations of lines, slope, inequalities, absolute value and simultaneous equations.

Where to start

1. Begin with Solving simple equations or Two-Step Equations to build the habit of balancing both sides.
2. Move to Multi-Step equations and Solving Equations with Variables on Both Sides.
3. Try the Slope-Intercept Form quiz, which asks you to find the graph or equation of a line from its slope and y-intercept.
4. Finish with Simultaneous Equations, Solving inequalities and Graphing Linear Equations.

Using quizzes and maps together

Start with a mind map to see how the ideas connect. The Equation of a Line map sets out slope-intercept form, point-slope form and standard form side by side. Then take a quiz to test whether you can apply each form. Return to the map for anything you got wrong.

There is also a large group of maps on pair of linear equations in two variables. Several are labelled for CBSE Class 10, so students on that course will find plenty to compare. Other resources mention GCSE Maths, including the deck Algebra GSCE.

Absolute value and inequalities

The quiz 2.5 - 2.7 Review works through absolute value expressions step by step, such as evaluating |2t - 3| + 9. For inequalities, look at Writing Inequalities, Inequalities - 2 variables and Pre-Test on Inequalities.

Where this fits

This unit sits in the Algebra strand of Mathematics. Teachers can use the pre-tests and bonus quizzes as ready-made checks, while students can use the notes as quick reminders.

Choose one resource that matches what you are studying now, work through it, and then try making a flashcard deck of your own.