# Topic Questions: • understand the meaning of $|x|$, sketch the graph of $y=|ax+b|$ and use relations such as $|a|=|b|\Leftrightarrow a^2=b^2$ and $|x-a| 32 9709 P3 Algebra topic questions (88 marks) on understand the meaning of …, sketch the graph of… — 23 papers, 2020–2026. Open the exact question in the… - Canonical HTML: https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/algebra/understand-the-meaning-of-x-sketch-the-graph-of-y-ax-b-and-use-relations-such-as-a-b/ - Markdown mirror: https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/algebra/understand-the-meaning-of-x-sketch-the-graph-of-y-ax-b-and-use-relations-such-as-a-b/index.md --- CIE IAL · Mathematics · 9709 P3 · Algebra 32 9709 P3 Algebra topic questions are tagged to this syllabus point across 23 papers (2020–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved. - 32 topic questions - 23 papers - 88 tagged marks - 20.5% of topic questions - 15.4% of topic marks - 2020–2026 - Syllabus 2020–2027 - [All 9709 P3 Algebra topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/algebra/) - [All paper codes](https://www.examsci.com/topics/) Core finding **This Algebra syllabus point appears in 23 9709 P3 papers across 2020–2026, contributing 32 topic questions and 88 marks.** The most recent appearance is 9709/31 May/June 2026. That equals 20.5% of the 156 topic questions and 15.4% of the 573 marks tagged to Algebra. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history. ## Topic questions by session Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use **Go to Practice Hub** to answer that exact question in the Interactive Practice Hub. | Paper | Question | Type | Parts | Marks | Difficulty | Practice | | --- | --- | --- | --- | --- | --- | --- | | [**9709/31** May/June 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2026-may-june-9709-31/#q-1) | **Q1** Absolute Value Inequality - CIE Pure Mathematics 2026 Q1 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=5a21f0d9-d2ad-4ffc-9254-eb21daddd8fc&question_id=a6415363-bdc1-40c9-8c5a-d571cab291f3&source_detail=9709%2F31+May%2FJune+2026) | | [**9709/33** May/June 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2026-may-june-9709-33/#q-2) | **Q2** Exponential Inequality with Absolute Value - CIE Pure Mathematics 2026 Q2 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=1cab28c8-892b-458b-b5a9-59aac0e92474&question_id=df57d78b-e39e-45a7-af8a-e1c2a0b00e5f&source_detail=9709%2F33+May%2FJune+2026) | | [**9709/32** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-october-november-9709-32/#q-1) | **Q1** Modulus Function Graph and Inequality - CIE A Level Maths 2025 Winter P32 Q1 | FRQ | 2 parts ((a), (b)) | 3 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d271f67a-f544-4649-81c5-cdf7c8a90ccc&question_id=e0916d72-57ea-4bd4-90d0-76825db47cb6&source_detail=9709%2F32+October%2FNovember+2025) | | [**9709/33** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-october-november-9709-33/#q-1) | **Q1** Solving Absolute Value Inequality - CIE Pure Mathematics 2025 Nov Paper 33 Q1 | FRQ | 1 part | 4 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=17e7e425-f366-4dd8-9a85-08207772196f&question_id=0ca80cf1-88d5-47ec-a9f2-5b9f69a1d76f&source_detail=9709%2F33+October%2FNovember+2025) | | [**9709/35** October/November 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-october-november-9709-35/#q-1) | **Q1** Modulus Function Graph and Inequality - CIE A Level Mathematics 2025 Winter Paper 35 Q1 | FRQ | 2 parts ((a), (b)) | 4 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=2b303406-630f-44c2-814e-7e47fa277f61&question_id=1bec240c-a8f0-44cd-8914-abdfa9c10825&source_detail=9709%2F35+October%2FNovember+2025) | | [**9709/31** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-may-june-9709-31/#q-1) | **Q1** Absolute Value Graph - CIE Pure Mathematics 2025 Jun Paper 31 Q1 | FRQ | 2 parts ((a), (b)) | 3 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d305e649-31d7-4036-b6fa-6295b81b011f&question_id=8d2791db-ae5e-4816-b7b0-6272ae2d7871&source_detail=9709%2F31+May%2FJune+2025) | | [**9709/32** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-may-june-9709-32/#q-6) | **Q6** Modulus Equation and Numerical Methods - CIE A-Level Pure Mathematics 2025 May/June Paper 32 Q6 | FRQ | 1 of 3 parts ((a)) | 2 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b93317c4-369e-4279-a9c6-be0a47e5beeb&question_id=05a9dcec-f11e-4fdd-9f77-b9a2d824176a&source_detail=9709%2F32+May%2FJune+2025) | | [**9709/33** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2025-may-june-9709-33/#q-1) | **Q1** Modulus Graph and Inequality - CIE A-Level Math 2025 Jun Paper 33 Q1 | FRQ | 2 parts ((a), (b)) | 4 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b947d72f-ec97-4d00-ae14-757145ba0aa9&question_id=86eb91a3-0cc5-4f30-b4e3-cf1b56b8ce2c&source_detail=9709%2F33+May%2FJune+2025) | | [**9709/32** May/June 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2024-may-june-9709-32/#q-1) | **Q1** Graph Sketching and Absolute Value Inequality - CIE A Level Mathematics 2024 Jun P32 Q1 | FRQ | 2 parts ((a), (b)) | 3 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b47257e0-776e-40f2-b0b7-69834ea85d57&question_id=9a595983-6810-4b20-8574-e8af63ce008e&source_detail=9709%2F32+May%2FJune+2024) | | [**9709/32** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2023-october-november-9709-32/#q-1) | **Q1** Modulus Graph and Inequality - CIE 9709 2023 Nov Paper 32 Q1 | FRQ | 2 parts ((a), (b)) | 5 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3fb73dde-04cc-4e60-91c5-1ddfee06f24d&question_id=b12a859a-28c6-4849-82a5-5e7bab4bb047&source_detail=9709%2F32+October%2FNovember+2023) | | [**9709/33** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2023-october-november-9709-33/#q-1) | **Q1** Modular Exponential Inequality - CIE A-Level Maths 2023 Q1 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=719f9f72-ffe6-4873-b35f-05b84c1bcd86&question_id=356b37e1-8ffb-429d-bc9a-f71c9698753b&source_detail=9709%2F33+October%2FNovember+2023) | | [**9709/31** May/June 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2023-may-june-9709-31/#q-2) | **Q2** Modulus Function Graph and Inequality - CIE Pure Mathematics 2023 Q2 | FRQ | 2 parts ((a), (b)) | 4 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=cfca2669-2cc1-43c6-a0cc-6132556376c3&question_id=225c2a78-0633-49ce-9f96-84bceacfbcdb&source_detail=9709%2F31+May%2FJune+2023) | | [**9709/32** May/June 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2023-may-june-9709-32/#q-1) | **Q1** Solving Absolute Value Inequality - CIE Pure Mathematics 2023 Q1 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=07774ae7-6d21-4646-8307-908dbae6fe03&question_id=de0f0214-fcf9-4ed1-a56d-a4c3fbb6336d&source_detail=9709%2F32+May%2FJune+2023) | | [**9709/33** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2022-may-june-9709-33/#q-1) | **Q1** Modulus Inequality with Parameter - CIE A Level Mathematics 2022 Jun Paper 33 Q1 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=9659571c-b4b6-458e-b3ff-de05ece281b2&question_id=8aa1f285-4ea7-4625-a059-1b4f561cabc9&source_detail=9709%2F33+May%2FJune+2022) | | [**9709/32** March 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2022-march-9709-32/#q-1) | **Q1** Modulus Inequality - CIE A Level Mathematics 2022 Mar Paper 32 Q1 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=494ba528-51f5-41a2-babf-2cc4c40fecf4&question_id=09084cc2-1a23-4ac6-a6f2-4a87ea68a79c&source_detail=9709%2F32+March+2022) | | [**9709/32** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2021-october-november-9709-32/#q-2) | **Q2** Absolute Value Inequality - CIE A-Level Mathematics 2021 Nov Paper 32 Q2 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e143fbb0-4c0c-42bd-8875-d51f745a2eeb&question_id=54ae5176-1b27-4255-be36-dae339459bb1&source_detail=9709%2F32+October%2FNovember+2021) | | [**9709/33** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2021-october-november-9709-33/#q-2) | **Q2** Absolute Value Inequality and Graph - CIE 9709 W21 P33 Q2 | FRQ | 2 parts ((a), (b)) | 4 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3dab83de-45d8-4d88-a013-44ac3c4045e2&question_id=c9c1b347-e422-44e0-a0fc-0336a5932c70&source_detail=9709%2F33+October%2FNovember+2021) | | [**9709/31** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2021-may-june-9709-31/#q-1) | **Q1** Absolute Value Inequality - CIE Mathematics 2021 Jun Paper 31 Q1 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=3c0392b5-afcc-4c08-8c90-18e99517d45c&question_id=562dc003-8cae-49fe-870d-7145cfcbb6f8&source_detail=9709%2F31+May%2FJune+2021) | | [**9709/32** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2021-may-june-9709-32/#q-1) | **Q1** Modulus Inequality - CIE 9709 2021 Jun Paper 32 Q1 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=193dfa4e-69a9-4d3a-8797-abee668ebcf8&question_id=bf83488a-6c57-4845-942b-bffb463fef88&source_detail=9709%2F32+May%2FJune+2021) | | [**9709/31** October/November 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2020-october-november-9709-31/#q-1) | **Q1** Solving Modulus Inequality - CIE 9709 W20 P31 Q1 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=6d3dbf03-a763-4245-9cd4-e9bb82088912&question_id=f84eb731-ba15-429d-ad77-30662e5e3790&source_detail=9709%2F31+October%2FNovember+2020) | | [**9709/33** October/November 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2020-october-november-9709-33/#q-1) | **Q1** Modulus Inequality - CIE Pure Mathematics 2020 Nov Paper 33 Q1 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=086627cb-e617-484f-abc7-431aab41e928&question_id=96c32a15-751c-4564-a4cb-fd30c9140a5c&source_detail=9709%2F33+October%2FNovember+2020) | | [**9709/33** May/June 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2020-may-june-9709-33/#q-1) | **Q1** Absolute Value Inequality - CIE Pure Mathematics 2020 Jun Q1 | FRQ | 1 part | 4 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ff5efdae-7baa-4c33-aa9c-f8b1c25c428d&question_id=8b72ab54-0ef5-4a0d-b051-8de0bd8c22a9&source_detail=9709%2F33+May%2FJune+2020) | | [**9709/32** March 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p3/2020-march-9709-32/#q-1) | **Q1** Modulus Function and Inequality - CIE Pure Mathematics 3 March 2020 Q1 | FRQ | 2 parts ((a), (b)) | 4 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=11f225a5-63c6-446a-9114-463175a53c07&question_id=2b596448-f48c-4b0c-8383-754b6d0a9c80&source_detail=9709%2F32+March+2020) | ## Related topic questions in Algebra - [• divide a polynomial, of degree not exceeding 4, by a linear or quadratic polynomial, and identify the quotient and remainder (which may be zero)](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/algebra/divide-a-polynomial-of-degree-not-exceeding-4-by-a-linear-or-quadratic-polynomial-and/) — 24 question items · 21 papers — 82 marks · 2020–2026 - [• recall an appropriate form for expressing rational functions in partial fractions, and carry out the decomposition, in cases where the denominator is no more complicated than – $(ax+b)(cx+d)(ex+f)$ – $(ax+b)(cx+d)^2$ – $(ax+b)(cx^2+d)$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/algebra/recall-an-appropriate-form-for-expressing-rational-functions-in-partial-fractions-and/) — 36 question items · 34 papers — 178 marks · 2020–2026 - [• use the expansion of $(1+x)^n$, where $n$ is a rational number and $|x|<1$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/algebra/use-the-expansion-of-1-x-n-where-n-is-a-rational-number-and-x-1/) — 32 question items · 22 papers — 107 marks · 2020–2026 - [• use the factor theorem and the remainder theorem](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/algebra/use-the-factor-theorem-and-the-remainder-theorem/) — 22 question items · 15 papers — 82 marks · 2021–2026 ## Topic question rules and edge cases **How many topic questions cover this syllabus point?** 23 question stems cover this subtopic across 23 papers, but only 32 tagged parts and 88 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page. **Which papers include this subtopic?** The table lists every matching session from 2020–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available. **Why can one question appear under several subtopics?** The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement. **Can I practise these questions with AI marking?** Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript. --- Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/algebra/understand-the-meaning-of-x-sketch-the-graph-of-y-ax-b-and-use-relations-such-as-a-b/