Myths about teaching can hold you back
- Year 11•
- Foundation
- Year 11•
- Foundation
Solving simple linear inequalities
I can solve simple linear inequalities.
Lesson details
Key learning points
- A linear inequality is solved using the rules of algebraic manipulation
- Multiplying or dividing by a negative number reverses the inequality sign
- This is due to a reflection in the number line at 0
- This can also be shown algebraically
Keywords
Inequality - An inequality is used to show that one expression may not be equal to another.
Common misconception
Dividing or multiplying by -1 does not change the inequality sign.
2 < 3 becomes -2 > -3 when both sides are multiplied by -1.
To help you plan your year 11 maths lesson on: Solving simple linear inequalities, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Solving simple linear inequalities, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Inequalities unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.Which of these inequalities are valid?
Q2.Which of these values satisfy the inequality $$x \ge -3$$ ?
Q3.Which of these diagrams could represent the inequality $$a>3$$ ?




Q4.The solution to the equation $$3x-5=7$$ is when $$x=$$ .
Q5.The solution to the equation $$3(x+4)=21$$ is when $$x=$$ .
Q6.What is the solution to this equation $$\frac{4x+3}{5}=5$$ ?
Assessment exit quiz
6 Questions
Q1.The solution to the inequality $$3a-2 \ge 4$$ is when $$a \ge$$ .
Q2.Which of these satisfies the inequality $$2b+3 < 5$$ ?
Q3.Which of these shows all solutions to the inequality $${a\over 3} + 4 \le 7$$ ?
Q4.Which of these represents all solutions to the inequality $$8<4(x-3)$$ ?



