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Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

• Inequalities Check that you know what inequality signs mean and how they are used to compare two quantities. Includes negative numbers, decimals, fractions and metric measures.
• Linear Programming A selection of linear programming questions with an interactive graph plotting tool.
• Diophantine Equations Practise finding integer solutions to equations with more than one unknown.
• Graph Plotter An online tool to draw, display and investigate graphs of many different kinds.

Here are some exam-style questions on this statement:

• "The red line in the diagram below shows an inequality. If the variable is \(x\), which inequality best describes \(x\)?" ... more
• "(a) Write down the integer values of \(x\) that satisfy the inequality \(–3 \le x \lt 1 \)." ... more
• "(a) Solve 9m < 15m − 12" ... more
• "The graph of a quadratic function, \(y=f(x)\) is shown drawn accurately in the following diagram. Write down all the integer solutions of \(f(x) \le 0\)." ... more
• "The diagram below is a sketch of \(y = f(x)\) where \(f(x)\) is a quadratic function." ... more
• "Describe the unshaded (white) region by writing down three inequalities." ... more
• "On the grid below indicate the region that satisfies all three of these inequalities." ... more
• "(a) The expression \( (x+1)(2x-3)(3x+4) \) can be written in the form \(ax^3 + bx^2 + cx + d \) where \(a, b, c\) and \(d\) are integers. Find the values of \(a, b, c\) and \(d\)." ... more
• "A region on a coordinate grid is described by the following three inequalities:" ... more
• "By shading the unwanted regions, show the region satisfied by these three inequalities." ... more
• "Solve the following inequalities then explain how the whole number solutions to A and B different." ... more
• "A large car park has an area of 1400m² with space for \(x\) cars and \(y\) vans. Each car requires 14m² of space and each van requires 35m² of space." ... more
• "A region on a coordinate grid is described by the following three inequalities:" ... more
• "Show that you understand equations and inequalities by answering the following:" ... more
• "Here is a function machine that produces two outputs, A and B." ... more
• "Solve \(2x^2 + 7x - 15 <0\)" ... more

See all these questions

Here is an Advanced Starter on this statement:

• Car Inequalities
  Solve three simultaneous inequalities to find how many cars I own. more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

• Algebra Pupils begin their study of algebra by investigating number patterns. Later they construct and express in symbolic form and use simple formulae involving one or many operations. They use brackets, indices and other constructs to apply algebra to real word problems. This leads to using algebra as an invaluable tool for solving problems, modelling situations and investigating ideas. If this topic were split into four sub topics they might be: Creating and simplifying expressions; Expanding and factorising expressions; Substituting and using formulae; Solving equations and real life problems; This is a powerful topic and has strong links to other branches of mathematics such as number, geometry and statistics. See also "Number Patterns", "Negative Numbers" and "Simultaneous Equations".