Year 10 - Linear inequalities - Free practice
Year 10 Linear Inequalities Worksheets
Solve, graph on number line, handle sign flips from negatives.
Generate a free maths worksheet
10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.
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
More Year 10 topics
Other free Year 10 worksheet generators
Year 10
Simultaneous equations
Year 10
Quadratic equations
Year 10
Quadratic factorising
Year 10
Trigonometry
Year 10
Surface area and volume
Year 10
Linear equations
Year 10
Algebraic fractions
Year 10
Exponential equations
Year 10
Coordinate geometry
Year 10
Compound interest
Year 10
Statistics
Year 10
Probability
Or generate any topic from the full worksheet builder.
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.
Talk to a human
Talk to us about Year 10 linear inequalities.
Call or message us with your student's year level and what's tripping them up - we'll point you to the right tutor.