AfriLearnAISee a sample

The only ECZ exam companion that shows every step, and lets a pupil ask why.

Written by a Zambian maths teacher, for parents in Lusaka and the Copperbelt, and for relatives abroad, paying for a child at home.

Mathematics · Quadratic equationsSample

Question 3. Solve 2x² − 5x − 3 = 0

  1. 1

    Split −5x into −6x + x

    2x² − 6x + x − 3 = 0

  2. 2

    Factorise in pairs

    2x(x − 3) + 1(x − 3) = 0

  3. 3

    Common bracket

    (2x + 1)(x − 3) = 0

  4. 4

    Each bracket to zero

    x = −½ or x = 3

Ask why…Why?
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Worksheet

H1H2BIU

Quadratic equations

Full solution, step by step

Marking

  • Method shown
  • !Sign slip, last line

Every step shown

Each answer is worked out in full, line by line.

Ask why, at any hour

A pupil’s own question gets an answer with the working shown.

ECZ method and notation

Built on the worksheets and exam packs of a practising Zambian maths teacher.

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Every answer, worked out in full.

Each question comes with its working, and a place to ask why.

Step 1: Pick a worksheet or a past-paper style question.

Step 2: Read the full solution, every step in the ECZ method.

Step 3: Ask why, at any hour, and see the working again.

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  • Subject: Mathematics
  • Method: ECZ
  • Working: every step

Written by a teacher who still teaches.

AfriLearn AI is built on the MathMastery Hub worksheets and exam packs of a practising Zambian maths teacher. The AI tutor answers a pupil’s own question the way a good teacher would: showing working, in the ECZ method and notation.

Inside a worked answer.

One sample question, three ways AfriLearn AI answers it. Every line below is sample content.

AfriLearn AI · Mathematics · Quadratic equationsSample

Question 3. Solve 2x² − 5x − 3 = 0

  1. 1

    Multiply a and c: 2 × (−3) = −6. Find two numbers with product −6 and sum −5.

    −6 and 1

  2. 2

    Split the middle term.

    2x² − 6x + x − 3 = 0

  3. 3

    Factorise in pairs.

    2x(x − 3) + 1(x − 3) = 0

  4. 4

    Take out the common bracket.

    (2x + 1)(x − 3) = 0

  5. 5

    Set each bracket to zero.

    x = −½ or x = 3

  6. 6

    Check x = 3 in the original equation.

    2(9) − 15 − 3 = 0 ✓

What is inside.

Worksheets, mock exams and video lessons, with an AI tutor beside every one.

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ECZ-aligned worksheets and past-paper style questions, each with a full step-by-step solution.

Worksheets

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