FreeMathWorksheet
Worksheet · TN-MATH-GRE-93797 · v2.4

Solving One-step Equations — Easy

A single-focus worksheet on solving one-step equations for GRE Math. Nothing else from algebra is mixed in — every question, from warm-up to reflection, assesses this one objective and builds towards mastery.

FoundationNational Curriculum (UK)15 min44 marksNo answers on sheet

Recognition and single-step practice only.

Grade

GRE

Subject

Math

Topic

Algebra

Subtopic

Solving One-step Equations

Curriculum

National Curriculum (UK)

Difficulty

Foundation

Time

15 min

Questions

25

Total marks

44

Worksheet ID

TN-MATH-GRE-93797

Version

v2.4

Format

A4 · US Letter

Preview & download

Print-ready · high-resolution PDF · minimal ink
FreeMathWorksheet

Easy

TN-MATH-GRE-93797 · v2.4

Solving One-step Equations

GRE · Math · Algebra · National Curriculum (UK)

Grade

GRE

Subject

Math

Topic

Algebra

Subtopic

Solving One-step Equations

Curriculum

National Curriculum (UK)

Difficulty

Foundation

Time

15 minutes

Total marks

44

Student name

Teacher name

Date

Learning objectives

  • Recognise solving one-step equations accurately in math contexts.
  • Explain the underlying rule of solving one-step equations in the student's own words.
  • Apply solving one-step equations to multi-step and unfamiliar problems.
  • Justify a chosen method and identify errors in another student's work.

Skills assessed

  • Fluency and recall
  • Method and setting out
  • Reasoning and justification
  • Problem solving in context
  • Self-assessment

Instructions

  1. Write your name, your teacher's name and the date in the header.
  2. Answer every question in the space provided. Continue on the back if needed.
  3. Show all working — method marks are awarded even when the final answer is wrong.
  4. Aim to finish in about 15 minutes.
  5. Complete the reflection box at the end before you hand the sheet in.

Warm-up

Bloom: Remember · 3 marks

Answer quickly. These check you are ready for the topic.

  1. 1.Name one fact you already know about solving one-step equations.

    [1]

  2. 2.Write down one fact you already know about solving one-step equations.

    [1]

  3. 3.Circle one fact you already know about solving one-step equations.

    [1]

Recall

Bloom: Remember · 3 marks

Complete from memory. No calculator, no notes.

  1. 1.Complete the key term used in solving one-step equations described here: item 1.

    [1]

  2. 2.List the key term used in solving one-step equations described here: item 2.

    [1]

  3. 3.Complete the key term used in solving one-step equations described here: item 3.

    [1]

FreeMathWorksheet · TN-MATH-GRE-93797 · v2.4

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 1 of 4

FreeMathWorksheet · GRE Math

Solving One-step Equations

Basic Practice

Bloom: Understand · 4 marks

Work through each item. Show the step you used.

  1. 1.Complete part 1 using the rule for solving one-step equations.

    [1]

  2. 2.Identify part 2 using the rule for solving one-step equations.

    [1]

  3. 3.Match part 3 using the rule for solving one-step equations.

    [1]

  4. 4.Work out part 4 using the rule for solving one-step equations.

    [1]

Guided Practice

Bloom: Understand · 6 marks

The first step is given. Finish the reasoning.

  1. 1.Complete the method for part 1. Step 1 has been started for you.

    [2]

  2. 2.Continue the working for part 2. Step 1 has been started for you.

    [2]

  3. 3.Complete the method for part 3. Step 1 has been started for you.

    [2]

FreeMathWorksheet · TN-MATH-GRE-93797 · v2.4

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 2 of 4

FreeMathWorksheet · GRE Math

Solving One-step Equations

Independent Practice

Bloom: Apply · 8 marks

No scaffolding. Set out your full method.

  1. 1.Determine part 1 on solving one-step equations without help.

    [2]

  2. 2.Solve part 2 on solving one-step equations without help.

    [2]

  3. 3.Work out fully part 3 on solving one-step equations without help.

    [2]

  4. 4.Work out fully part 4 on solving one-step equations without help.

    [2]

Challenge Questions

Bloom: Analyse · 6 marks

Harder items. Attempt every one, even partially.

  1. 1.Deduce the statement in part 1 about solving one-step equations.

    [3]

  2. 2.Show that the statement in part 2 about solving one-step equations.

    [3]

Real-life Application

Bloom: Apply · 6 marks

Use the skill in context. State units in your answer.

  1. 1.Apply a real math situation that depends on solving one-step equations.

    [3]

  2. 2.In context, work out a real math situation that depends on solving one-step equations.

    [3]

FreeMathWorksheet · TN-MATH-GRE-93797 · v2.4

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 3 of 4

FreeMathWorksheet · GRE Math

Solving One-step Equations

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

  1. 1.Compare and justify a student's method for solving one-step equations is or is not efficient.

    [4]

  2. 2.Compare and justify a student's method for solving one-step equations is or is not efficient.

    [4]

Reflection

Bloom: Create · 0 marks

Not marked. Answer honestly — this guides your next worksheet.

  1. 1.Reflect on how confident you feel with solving one-step equations and what you will practise next.

    [—]

  2. 2.Record how confident you feel with solving one-step equations and what you will practise next.

    [—]

FreeMathWorksheet · TN-MATH-GRE-93797 · v2.4

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 4 of 4

Question progression

Recognition → understanding → application → reasoning → mastery. The ladder adapts to GRE, and every rung stays on solving one-step equations only.

  1. 01Warm-up

    Answer quickly. These check you are ready for the topic.

    Remember3 questions3 marks

  2. 02Recall

    Complete from memory. No calculator, no notes.

    Remember3 questions3 marks

  3. 03Basic Practice

    Work through each item. Show the step you used.

    Understand4 questions4 marks

  4. 04Guided Practice

    The first step is given. Finish the reasoning.

    Understand3 questions6 marks

  5. 05Independent Practice

    No scaffolding. Set out your full method.

    Apply4 questions8 marks

  6. 06Challenge Questions

    Harder items. Attempt every one, even partially.

    Analyse2 questions6 marks

  7. 07Real-life Application

    Use the skill in context. State units in your answer.

    Apply2 questions6 marks

  8. 08Critical Thinking

    Explain your reasoning in full sentences.

    Evaluate2 questions8 marks

  9. 09Reflection

    Not marked. Answer honestly — this guides your next worksheet.

    Create2 questions0 marks

Answer key & solutions

Every worksheet auto-generates a complete key with step-by-step solutions, the marking scheme and teacher notes. It prints as separate pages so the student copy stays clean.

Teacher notes

  • Set the warm-up as a five-minute starter; it diagnoses readiness for solving one-step equations before you teach.
  • Guided practice is the pivot point — circulate here rather than during independent practice.
  • Mark the reasoning questions with the marking scheme bands, not raw totals, so progress is comparable across variants.
  • Students who band Emerging should repeat the Easy variant of this same subtopic before moving on within Algebra.

Common student mistakes

  • Confusing solving one-step equations with a neighbouring idea in algebra.

Teaching tips

  • Model one worked example of solving one-step equations under a visualiser before handing the sheet out.
  • Ask students to predict which question they will find hardest, then check the prediction afterwards.
  • Pair Developing students with Secure students for the guided practice block only.
  • Use the answer key as a self-marking station rather than collecting the sheets in.

Extension activities

  • Challenge worksheet on solving one-step equations with justification-only questions.
  • Design your own solving one-step equations question and write the mark scheme for it.
  • Link solving one-step equations to the next subtopic in Algebra and explain the connection.
  • Ten-minute timed practice to convert accuracy into fluency.

Switch version

Same subtopic · same objectives · different job

Frequently asked

What exactly is in the download?
A 25-question, 44-mark sheet with branded header, objectives, skills, instructions, name and date fields, page numbering, footer branding, copyright, worksheet ID TN-MATH-GRE-93797, version v2.4 and a QR code back to this page.
Does it print correctly on US Letter?
Yes. Switch paper size in the download panel — margins and typography are identical, so nothing reflows or clips.
Is the answer key included?
The student copy prints clean. Toggle answers on to append the answer key, marking scheme and teacher pack.

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