FreeMathWorksheet
FreeMathWorksheet

Challenge Worksheet

TN-MATH-SAT-84560 · v2.0

Solving One-step Equations

SAT · Math · Algebra · Cambridge (CAIE)

Grade

SAT

Subject

Math

Topic

Algebra

Subtopic

Solving One-step Equations

Curriculum

Cambridge (CAIE)

Difficulty

Higher

Time

35 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 35 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.Circle one fact you already know about solving one-step equations.

    [1]
  2. 2.Name 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.Label the key term used in solving one-step equations described here: item 1.

    [1]
  2. 2.Complete the key term used in solving one-step equations described here: item 2.

    [1]
  3. 3.Label the key term used in solving one-step equations described here: item 3.

    [1]

FreeMathWorksheet · TN-MATH-SAT-84560 · v2.0

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

Page 1 of 4

FreeMathWorksheet · SAT Math

Solving One-step Equations

Basic Practice

Bloom: Understand · 4 marks

Work through each item. Show the step you used.

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

    [1]
  2. 2.Work out part 2 using the rule for solving one-step equations.

    [1]
  3. 3.Work out part 3 using the rule for solving one-step equations.

    [1]
  4. 4.Identify 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.Using the first step given, finish part 1. Step 1 has been started for you.

    [2]
  2. 2.Complete the method for part 2. Step 1 has been started for you.

    [2]
  3. 3.Using the first step given, finish part 3. Step 1 has been started for you.

    [2]

FreeMathWorksheet · TN-MATH-SAT-84560 · v2.0

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

Page 2 of 4

FreeMathWorksheet · SAT Math

Solving One-step Equations

Independent Practice

Bloom: Apply · 8 marks

No scaffolding. Set out your full method.

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

    [2]
  2. 2.Work out fully part 2 on solving one-step equations without help.

    [2]
  3. 3.Calculate part 3 on solving one-step equations without help.

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

    [3]
  2. 2.Apply a real math situation that depends on solving one-step equations.

    [3]

FreeMathWorksheet · TN-MATH-SAT-84560 · v2.0

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

Page 3 of 4

FreeMathWorksheet · SAT 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.Describe how confident you feel with solving one-step equations and what you will practise next.

    [—]
  2. 2.Reflect on how confident you feel with solving one-step equations and what you will practise next.

    [—]

FreeMathWorksheet · TN-MATH-SAT-84560 · v2.0

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

Page 4 of 4