Year 10 - Linear inequalities - Free practice
Year 10 Linear Inequalities Worksheets
Solve, graph on number line, handle sign flips from negatives.
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Six questions across Foundation, Standard and Extension, with full worked solutions, calibrated to the Victorian Curriculum.
Textbook questions won't lift a test mark.
They come sorted by topic, so your child knows the method before they read the question.
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About this worksheet
Why we built it
Year 10 inequalities mostly mirror equations - with one crucial twist: dividing by a negative flips the sign. These worksheets give your student varied multi-step inequalities and number-line representations to hammer that rule home.
What's covered
Sub-skills your student will practise
- ✓Solving one-variable linear inequalities
- ✓Inequalities with fractions
- ✓Inequalities with brackets and like-term collection
- ✓Sign-flipping when multiplying / dividing by a negative
- ✓Representing the solution on a number line
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From our families
Parents on the practice questions.
“Tuterly has been exactly what we needed since Tom started secondary school. Once the topic tests began, he was struggling to keep up. Now he has unlimited practice, all matched to what his class is actually covering, and his Maths results have improved noticeably.”
Rebecca M.
Year 8 · Maths
“My daughter used to leave revision until the night before. Having a platform she can dip into for fifteen minutes after dinner has completely changed that. She's calmer going into assessments, and honestly, so am I.”
Priya S.
Year 9 · Maths
“I like that I can just keep doing questions until it clicks. If I get something wrong, it shows me why, and then gives me another one like it.”
Ella, student
Year 10 · Maths
Frequently asked
Questions parents ask about linear inequalities
What's an inequality?
A statement that two expressions are not equal but in a specific relationship - greater than (>), less than (<), greater than or equal to (>=), less than or equal to (<=). Solving them gives a range of values, not a single number.
What's the key rule for inequalities?
If you multiply or divide both sides by a negative number, you must flip the inequality sign. So -2x > 4 becomes x < -2 (note the flip). Forgetting this is the single most common Year 10 inequality mistake.
How do students represent inequality solutions on a number line?
Open circle for strict (< or >), filled circle for inclusive (<= or >=). Arrow extending in the direction of the solution. For x > 3, open circle at 3, arrow pointing right.
Are quadratic inequalities a Year 10 topic?
Mainstream Year 10 stays with linear inequalities. Quadratic inequalities (where x^2 < 9 or similar) arrive in Year 11 Methods. The technique - sketch the parabola, identify where it's below/above zero - is a Methods skill.
Want a real plan for the term?
Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.
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Talk to us about Year 10 linear inequalities.
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