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FreeMathWorksheet

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TN-MATH-GR8-84137 · v2.7

Simplifying Expressions

Grade 8 · Math · Algebra · National Curriculum (UK)

Grade

Grade 8

Subject

Math

Topic

Algebra

Subtopic

Simplifying Expressions

Curriculum

National Curriculum (UK)

Difficulty

Core

Time

25 minutes

Total marks

54

Student name

Teacher name

Date

Learning objectives

  • Recognise simplifying expressions accurately in math contexts.
  • Explain the underlying rule of simplifying expressions in the student's own words.
  • Apply simplifying expressions 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 25 minutes.
  5. Complete the reflection box at the end before you hand the sheet in.

Warm-up

Bloom: Remember · 4 marks

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

  1. 1.Circle one fact you already know about simplifying expressions.

    [1]
  2. 2.State one fact you already know about simplifying expressions.

    [1]
  3. 3.State one fact you already know about simplifying expressions.

    [1]
  4. 4.Write down one fact you already know about simplifying expressions.

    [1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

  1. 1.Define the key term used in simplifying expressions described here: item 1.

    [1]
  2. 2.Complete the key term used in simplifying expressions described here: item 2.

    [1]
  3. 3.List the key term used in simplifying expressions described here: item 3.

    [1]
  4. 4.Complete the key term used in simplifying expressions described here: item 4.

    [1]

FreeMathWorksheet · TN-MATH-GR8-84137 · v2.7

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

Page 1 of 4

FreeMathWorksheet · Grade 8 Math

Simplifying Expressions

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

  1. 1.Identify part 1 using the rule for simplifying expressions.

    [1]
  2. 2.Work out part 2 using the rule for simplifying expressions.

    [1]
  3. 3.Identify part 3 using the rule for simplifying expressions.

    [1]
  4. 4.Work out part 4 using the rule for simplifying expressions.

    [1]
  5. 5.Complete part 5 using the rule for simplifying expressions.

    [1]

Guided Practice

Bloom: Understand · 8 marks

The first step is given. Finish the reasoning.

  1. 1.Continue the working 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]
  4. 4.Continue the working for part 4. Step 1 has been started for you.

    [2]

FreeMathWorksheet · TN-MATH-GR8-84137 · v2.7

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

Page 2 of 4

FreeMathWorksheet · Grade 8 Math

Simplifying Expressions

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

  1. 1.Calculate part 1 on simplifying expressions without help.

    [2]
  2. 2.Solve part 2 on simplifying expressions without help.

    [2]
  3. 3.Determine part 3 on simplifying expressions without help.

    [2]
  4. 4.Solve part 4 on simplifying expressions without help.

    [2]
  5. 5.Determine part 5 on simplifying expressions without help.

    [2]

Challenge Questions

Bloom: Analyse · 9 marks

Harder items. Attempt every one, even partially.

  1. 1.Deduce the statement in part 1 about simplifying expressions.

    [3]
  2. 2.Show that the statement in part 2 about simplifying expressions.

    [3]
  3. 3.Find and justify the statement in part 3 about simplifying expressions.

    [3]

FreeMathWorksheet · TN-MATH-GR8-84137 · v2.7

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

Page 3 of 4

FreeMathWorksheet · Grade 8 Math

Simplifying Expressions

Real-life Application

Bloom: Apply · 6 marks

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

  1. 1.Use the information to decide a real math situation that depends on simplifying expressions.

    [3]
  2. 2.Apply a real math situation that depends on simplifying expressions.

    [3]

Critical Thinking

Bloom: Evaluate · 8 marks

Explain your reasoning in full sentences.

  1. 1.Evaluate whether a student's method for simplifying expressions is or is not efficient.

    [4]
  2. 2.Evaluate whether a student's method for simplifying expressions is or is not efficient.

    [4]

Reflection

Bloom: Create · 0 marks

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

  1. 1.Record how confident you feel with simplifying expressions and what you will practise next.

    [—]
  2. 2.Reflect on how confident you feel with simplifying expressions and what you will practise next.

    [—]

FreeMathWorksheet · TN-MATH-GR8-84137 · v2.7

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

Page 4 of 4