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Mathematics · Higher
Irish Junior Cycle · SEC Ireland
Algebra · 15 marks

Solve the equations below. Show all of your working.

Give exact answers. Working out earns method marks even if a final answer is wrong.

Exam-style question written by UniDoodle — not reproduced from an official paper.

Part (a)

5 marks

Solve 3x − 7 = 11.

Part (b)

10 marks

Solve the simultaneous equations 2x + y = 11 and x − y = 1.

Your answer · Part (a)

Suggested for this part: type — but you can Type, Sketch, Upload, use your Camera or send from your Phone.

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Sample library

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Sample Practice Library

A small sample of the full library. Select a question to load it into the demo.

46 sample questions
  • Mathematics · Irish Junior Cycle · Higher

    SEC Ireland · Algebra · Linear and simultaneous equations · 15 marks · 2 parts

  • Mathematics · Irish Junior Cycle · Ordinary

    SEC Ireland · Geometry and trigonometry · Right-angled triangle: side and angle · 10 marks · 2 parts

  • Science · Irish Junior Cycle · Common

    SEC Ireland · Physical world: motion · Reading a velocity–time graph · 10 marks · 2 parts

  • Mathematics · Irish Leaving Certificate · Higher

    SEC Ireland · Algebra and functions · Quadratic roots and graph sketch · 15 marks · 2 parts

  • Mathematics · Irish Leaving Certificate · Higher

    SEC Ireland · Calculus · Turning points of a cubic · 15 marks · 2 parts

  • Mathematics · Irish Leaving Certificate · Ordinary

    SEC Ireland · Financial maths · Compound interest on savings · 20 marks · 2 parts

  • Applied Mathematics · Irish Leaving Certificate · Higher

    SEC Ireland · Dynamics · Connected masses over a pulley · 25 marks · 2 parts

  • Applied Mathematics · Irish Leaving Certificate · Higher

    SEC Ireland · Projectiles · Projectile launched at 30° · 25 marks · 3 parts

  • Physics · Irish Leaving Certificate · Higher

    SEC Ireland · Linear motion · Ball dropped from 20 m · 15 marks · 2 parts

  • Physics · Irish Leaving Certificate · Higher

    SEC Ireland · Electricity · Series circuit: current and power · 21 marks · 3 parts

  • Chemistry · Irish Leaving Certificate · Higher

    SEC Ireland · Stoichiometry · Combustion of hydrogen · 18 marks · 2 parts

  • Chemistry · Irish Leaving Certificate · Higher

    SEC Ireland · Volumetric analysis · Titration of HCl with NaOH · 15 marks · 2 parts

  • Biology · Irish Leaving Certificate · Higher

    SEC Ireland · Cell structure · Identifying plant cell structures · 15 marks · 2 parts

  • Biology · Irish Leaving Certificate · Higher

    SEC Ireland · Enzymes · Effect of temperature on enzyme activity · 21 marks · 2 parts

  • Computer Science · Irish Leaving Certificate · Higher

    SEC Ireland · Algorithms · Tracing a flowchart and writing pseudocode · 25 marks · 2 parts

  • Mathematics · GCSE · Higher tier

    AQA · Ratio and percentages · Sharing in a ratio and reverse percentages · 6 marks · 2 parts

  • Physics · GCSE · Higher tier

    AQA · Forces and motion · Acceleration and distance from a graph · 7 marks · 2 parts

  • Chemistry · GCSE · Higher tier

    Pearson Edexcel · Quantitative chemistry · Decomposition of calcium carbonate · 6 marks · 2 parts

  • Biology · GCSE · Higher tier

    OCR · Ecosystems · Interpreting a food web · 6 marks · 2 parts

  • Mathematics · GCSE · Higher tier

    WJEC / Eduqas · Pythagoras and trigonometry · Finding a side and an angle · 6 marks · 2 parts

  • Computer Science · GCSE · Untiered

    AQA · Boolean logic · Logic circuit with AND and OR gates · 4 marks · 2 parts

  • Mathematics · AS Level · AS

    AQA · Differentiation · Stationary points of a cubic · 8 marks · 2 parts

  • Physics · AS Level · AS

    OCR · Moments and equilibrium · Beam on two supports · 6 marks · 2 parts

  • Chemistry · AS Level · AS

    Pearson Edexcel · Atomic structure and moles · Configuration and solution concentration · 6 marks · 2 parts

  • Biology · AS Level · AS

    AQA · Enzymes · Explaining enzyme activity above the optimum · 7 marks · 2 parts

  • Mathematics · A Level · A2

    AQA · Integration · Definite integral of a quadratic · 8 marks · 2 parts

  • Physics · A Level · A2

    AQA · Forces and dynamics · Block sliding on a smooth incline · 9 marks · 3 parts

  • Chemistry · A Level · A2

    OCR · Equilibria · Kc and Le Chatelier for ammonia · 7 marks · 2 parts

  • Biology · A Level · A2

    Pearson Edexcel · Transport across membranes · Active transport in root hair cells · 7 marks · 2 parts

  • Computer Science · A Level · A2

    AQA · Algorithms and complexity · Binary search trace and complexity · 7 marks · 2 parts

  • Mathematics · IB · HL

    IB · Sequences and series · Arithmetic sequence term and sum · 6 marks · 2 parts

  • Physics · IB · SL

    IB · Kinematics · Uniform deceleration of a car · 7 marks · 3 parts

  • Chemistry · IB · HL

    IB · Energetics · Enthalpy of combustion of methane · 6 marks · 2 parts

  • Biology · IB · SL

    IB · Membranes and transport · Osmosis in potato tissue · 7 marks · 2 parts

  • Computer Science · IB · SL

    IB · Data structures · Stack operations and queue choice · 6 marks · 2 parts

  • Mathematics · SQA National 5 · Standard

    SQA · Straight line · Gradient and equation of a line · 5 marks · 2 parts

  • Physics · SQA National 5 · Standard

    SQA · Electricity and energy · Energy supplied by a kettle · 5 marks · 2 parts

  • Chemistry · SQA National 5 · Standard

    SQA · Rates of reaction · Average rate and collision theory · 6 marks · 2 parts

  • Mathematics · SQA Higher · Standard

    SQA · Differentiation · Stationary points and their nature · 8 marks · 2 parts

  • Physics · SQA Higher · Standard

    SQA · Momentum and impulse · Inelastic collision of two trolleys · 6 marks · 2 parts

  • Chemistry · SQA Higher · Standard

    SQA · Chemical energy · Enthalpy of combustion from calorimetry · 5 marks · 2 parts

  • Biology · SQA Higher · Standard

    SQA · Metabolism · Limiting factors in photosynthesis · 7 marks · 2 parts

  • Computing Science · SQA Higher · Standard

    SQA · Software design and development · Tracing a fixed loop · 6 marks · 2 parts

  • Mathematics · SQA Advanced Higher · Standard

    SQA · Integration by parts · Integrating x e^x · 8 marks · 2 parts

  • Physics · SQA Advanced Higher · Standard

    SQA · Rotational motion · Central force on a whirling mass · 5 marks · 2 parts

  • Chemistry · SQA Advanced Higher · Standard

    SQA · Kinetics · Determining a rate equation · 8 marks · 2 parts

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