Analysis & Approaches HL · Topic 2 · Functions

IB Math AA HL Inequalities Worksheet (with full solutions)

Solving linear, quadratic, rational and modulus inequalities algebraically and graphically.

25 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Analysis and Approaches HL students.

25pages
120marks
3difficulty levels
Yessolutions included
T2Functions

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What this AA HL inequalities worksheet covers

Solving linear, quadratic, rational and modulus inequalities algebraically and graphically. The questions follow the order of the AA HL syllabus for Topic 2 (Functions) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Quadratic inequalities with a sketch
Rational inequalities — never multiply by an expression of unknown sign
Modulus inequalities
Graphical solutions on the GDC
Exam tip for this topic. A sketch with the critical values marked is the safest way to read off the solution set.

Preview

How to use it

  1. Do the first band without the AA HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AA HL worksheets on Functions

✓ = solutions included

Questions

Is this AA HL inequalities worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

Yes, full worked solutions are included at the end of the PDF.

Which IB course is it for?

IB Mathematics: Analysis and Approaches HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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