Maths Resources GCSE Worksheets

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Graphing Inequalities Worksheet

Graphing Inequalities Worksheet

Help your students prepare for their Maths GCSE with this free graphing inequalities worksheet of 30+ questions and answers

  • Section 1 of the graphing inequalities worksheet contains 20+ skills-based graphing inequalities questions, in 3 groups to support differentiation
  • Section 2 contains 3 applied graphing linear inequalities questions with a mix of word problems and deeper problem solving questions
  • Section 3 contains 3 foundation and higher level GCSE exam style questions on graphing inequalities
  • Answers and a mark scheme for all graphing inequalities questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Graphing inequalities at a glance

 

Inequalities can be represented graphically. This is useful as it allows us to look for solutions which satisfy more than one inequality at a time. To represent inequalities graphically, we draw the relevant line on a grid and can identify the solutions to the inequality through shading. 

 

The type of inequality symbol is important and inequalities that have a > or < symbol are drawn with a dotted line whereas those that have a or symbol are drawn with a solid line. 

 

For example, the inequality x<1 is represented by drawing the line x=1 (using a dotted line). Since x is less than 1, the solution to the inequality is the area to the left of the line. The inequality y>x+2 can be represented by drawing the line y=x+2 (a solid line). The solution is the line and the area above the line.  Single variable inequalities will be indicated by horizontal lines or vertical lines and inequalities in both x and y will be indicated by diagonal lines.

 

Looking forward, students can then progress to additional inequalities worksheets and other algebra worksheets, for example a sequences worksheet, simultaneous equations worksheet or straight line graphs worksheet.

 

GCSE-resources-worksheets

 

For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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GCSE Maths Worksheets

There will be students in your class who require individual attention to help them achieve their target GCSE maths grade. In a class of 30, it’s not always easy to provide.


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Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.


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