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Chapter 34: Solving Addition and Subtraction Equations

Learn Grade 5 mathematics from very beginner explanations through worked examples, practice, reasoning, and review.

Grade 5Beginner Friendly10 Examples Per Topic30 Q&APractice + Review
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Chapter Overview

This chapter teaches Solving Addition and Subtraction Equations with simple language, step-by-step reasoning, and original worked examples. Technical words are explained in plain language.

Key Technical Terms

  • Meaning of equality (a Grade 5 idea used in this chapter)
  • Unknowns in equations (a Grade 5 idea used in this chapter)
  • Addition equations up to 100 (a Grade 5 idea used in this chapter)
  • Subtraction equations up to 100 (a Grade 5 idea used in this chapter)
  • Unknown on the left side (a Grade 5 idea used in this chapter)
  • Unknown on the right side (a Grade 5 idea used in this chapter)
  • Using inverse operations (a Grade 5 idea used in this chapter)
  • Using models to solve equations (a Grade 5 idea used in this chapter)
  • Equation word problems (a Grade 5 idea used in this chapter)
  • Checking solutions by substitution (a Grade 5 idea used in this chapter)

How to Learn This Chapter

Read the explanation first, follow the examples one step at a time, cover the answer and retry the problem yourself, then use the practice and review questions to check understanding.

34.1 Meaning of equality

Meaning of equality helps learners collect, organize, display, and interpret information carefully so conclusions are supported by evidence.

Beginner Note

Begin with meaning and a visual or concrete example. Work one step at a time and check the answer before moving on.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: In your own words, what is the main idea of Meaning of equality?

  1. Read the topic name carefully.
  2. Identify the quantity, relationship, shape, or process it describes.
  3. Explain the idea without using a memorized sentence.

Very beginner explanation: Meaning of equality helps learners collect, organize, display, and interpret information carefully so conclusions are supported by evidence.

Answer: Meaning of equality helps learners collect, organize, display, and interpret information carefully so conclusions are supported by evidence.

Worked Example 2

Problem: What should you identify first before solving a problem about Meaning of equality?

  1. Read the complete problem.
  2. Mark the information that is given.
  3. Identify exactly what the question asks you to find.

Very beginner explanation: Meaning of equality helps learners collect, organize, display, and interpret information carefully so conclusions are supported by evidence.

Answer: Identify the known information and the unknown before choosing an operation or rule.

Worked Example 3

Problem: Choose a useful representation for Meaning of equality.

  1. Decide whether a model, number line, table, graph, diagram, equation, or labelled calculation best fits the idea.
  2. Label the representation clearly.
  3. Check that it matches the mathematical relationship.

Very beginner explanation: Meaning of equality helps learners collect, organize, display, and interpret information carefully so conclusions are supported by evidence.

Answer: Use the representation that makes the important relationship easiest to see and check.

Worked Example 4

Problem: A learner gets an answer in a Meaning of equality problem. How can the learner check it?

  1. Estimate the expected size or direction of the answer.
  2. Check units, labels, signs, and place values.
  3. Use an inverse operation or a second method when possible.

Very beginner explanation: Meaning of equality helps learners collect, organize, display, and interpret information carefully so conclusions are supported by evidence.

Answer: The answer should agree with an estimate, the problem conditions, and a second check.

Worked Example 5

Problem: Give a real-life use for Meaning of equality.

  1. Think about money, measurement, data, patterns, design, or everyday quantities.
  2. Choose a situation where the topic helps compare, calculate, measure, predict, or organize.
  3. Explain the connection in one sentence.

Very beginner explanation: Meaning of equality helps learners collect, organize, display, and interpret information carefully so conclusions are supported by evidence.

Answer: Meaning of equality can be used in a real situation where mathematics helps make a clear calculation, comparison, measurement, prediction, or decision.

Worked Example 6

Problem: Solve 2x + 5 = 17.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 6

Worked Example 7

Problem: Solve 3x - 4 = 11.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Worked Example 8

Problem: Solve 5x + 7 = 2x + 22.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Worked Example 9

Problem: Solve 4(x + 2) = 24.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 4

Worked Example 10

Problem: Solve 7x - 3 = 4x + 12.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Practice Exercise

Create one new question about Meaning of equality. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.

34.2 Unknowns in equations

Unknowns in equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Beginner Note

Begin with meaning and a visual or concrete example. Work one step at a time and check the answer before moving on.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: In your own words, what is the main idea of Unknowns in equations?

  1. Read the topic name carefully.
  2. Identify the quantity, relationship, shape, or process it describes.
  3. Explain the idea without using a memorized sentence.

Very beginner explanation: Unknowns in equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: Unknowns in equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Worked Example 2

Problem: What should you identify first before solving a problem about Unknowns in equations?

  1. Read the complete problem.
  2. Mark the information that is given.
  3. Identify exactly what the question asks you to find.

Very beginner explanation: Unknowns in equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: Identify the known information and the unknown before choosing an operation or rule.

Worked Example 3

Problem: Choose a useful representation for Unknowns in equations.

  1. Decide whether a model, number line, table, graph, diagram, equation, or labelled calculation best fits the idea.
  2. Label the representation clearly.
  3. Check that it matches the mathematical relationship.

Very beginner explanation: Unknowns in equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: Use the representation that makes the important relationship easiest to see and check.

Worked Example 4

Problem: A learner gets an answer in a Unknowns in equations problem. How can the learner check it?

  1. Estimate the expected size or direction of the answer.
  2. Check units, labels, signs, and place values.
  3. Use an inverse operation or a second method when possible.

Very beginner explanation: Unknowns in equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: The answer should agree with an estimate, the problem conditions, and a second check.

Worked Example 5

Problem: Give a real-life use for Unknowns in equations.

  1. Think about money, measurement, data, patterns, design, or everyday quantities.
  2. Choose a situation where the topic helps compare, calculate, measure, predict, or organize.
  3. Explain the connection in one sentence.

Very beginner explanation: Unknowns in equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: Unknowns in equations can be used in a real situation where mathematics helps make a clear calculation, comparison, measurement, prediction, or decision.

Worked Example 6

Problem: Solve 2x + 5 = 17.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 6

Worked Example 7

Problem: Solve 3x - 4 = 11.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Worked Example 8

Problem: Solve 5x + 7 = 2x + 22.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Worked Example 9

Problem: Solve 4(x + 2) = 24.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 4

Worked Example 10

Problem: Solve 7x - 3 = 4x + 12.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Practice Exercise

Create one new question about Unknowns in equations. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.

34.3 Addition equations up to 100

Addition equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Beginner Note

Begin with meaning and a visual or concrete example. Work one step at a time and check the answer before moving on.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: In your own words, what is the main idea of Addition equations up to 100?

  1. Read the topic name carefully.
  2. Identify the quantity, relationship, shape, or process it describes.
  3. Explain the idea without using a memorized sentence.

Very beginner explanation: Addition equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Answer: Addition equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Worked Example 2

Problem: What should you identify first before solving a problem about Addition equations up to 100?

  1. Read the complete problem.
  2. Mark the information that is given.
  3. Identify exactly what the question asks you to find.

Very beginner explanation: Addition equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Answer: Identify the known information and the unknown before choosing an operation or rule.

Worked Example 3

Problem: Choose a useful representation for Addition equations up to 100.

  1. Decide whether a model, number line, table, graph, diagram, equation, or labelled calculation best fits the idea.
  2. Label the representation clearly.
  3. Check that it matches the mathematical relationship.

Very beginner explanation: Addition equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Answer: Use the representation that makes the important relationship easiest to see and check.

Worked Example 4

Problem: A learner gets an answer in a Addition equations up to 100 problem. How can the learner check it?

  1. Estimate the expected size or direction of the answer.
  2. Check units, labels, signs, and place values.
  3. Use an inverse operation or a second method when possible.

Very beginner explanation: Addition equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Answer: The answer should agree with an estimate, the problem conditions, and a second check.

Worked Example 5

Problem: Give a real-life use for Addition equations up to 100.

  1. Think about money, measurement, data, patterns, design, or everyday quantities.
  2. Choose a situation where the topic helps compare, calculate, measure, predict, or organize.
  3. Explain the connection in one sentence.

Very beginner explanation: Addition equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Answer: Addition equations up to 100 can be used in a real situation where mathematics helps make a clear calculation, comparison, measurement, prediction, or decision.

Worked Example 6

Problem: Solve 2x + 5 = 17.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 6

Worked Example 7

Problem: Solve 3x - 4 = 11.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Worked Example 8

Problem: Solve 5x + 7 = 2x + 22.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Worked Example 9

Problem: Solve 4(x + 2) = 24.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 4

Worked Example 10

Problem: Solve 7x - 3 = 4x + 12.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Practice Exercise

Create one new question about Addition equations up to 100. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.

34.4 Subtraction equations up to 100

Subtraction equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Beginner Note

Begin with meaning and a visual or concrete example. Work one step at a time and check the answer before moving on.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: In your own words, what is the main idea of Subtraction equations up to 100?

  1. Read the topic name carefully.
  2. Identify the quantity, relationship, shape, or process it describes.
  3. Explain the idea without using a memorized sentence.

Very beginner explanation: Subtraction equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Answer: Subtraction equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Worked Example 2

Problem: What should you identify first before solving a problem about Subtraction equations up to 100?

  1. Read the complete problem.
  2. Mark the information that is given.
  3. Identify exactly what the question asks you to find.

Very beginner explanation: Subtraction equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Answer: Identify the known information and the unknown before choosing an operation or rule.

Worked Example 3

Problem: Choose a useful representation for Subtraction equations up to 100.

  1. Decide whether a model, number line, table, graph, diagram, equation, or labelled calculation best fits the idea.
  2. Label the representation clearly.
  3. Check that it matches the mathematical relationship.

Very beginner explanation: Subtraction equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Answer: Use the representation that makes the important relationship easiest to see and check.

Worked Example 4

Problem: A learner gets an answer in a Subtraction equations up to 100 problem. How can the learner check it?

  1. Estimate the expected size or direction of the answer.
  2. Check units, labels, signs, and place values.
  3. Use an inverse operation or a second method when possible.

Very beginner explanation: Subtraction equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Answer: The answer should agree with an estimate, the problem conditions, and a second check.

Worked Example 5

Problem: Give a real-life use for Subtraction equations up to 100.

  1. Think about money, measurement, data, patterns, design, or everyday quantities.
  2. Choose a situation where the topic helps compare, calculate, measure, predict, or organize.
  3. Explain the connection in one sentence.

Very beginner explanation: Subtraction equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Answer: Subtraction equations up to 100 can be used in a real situation where mathematics helps make a clear calculation, comparison, measurement, prediction, or decision.

Worked Example 6

Problem: Solve 2x + 5 = 17.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 6

Worked Example 7

Problem: Solve 3x - 4 = 11.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Worked Example 8

Problem: Solve 5x + 7 = 2x + 22.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Worked Example 9

Problem: Solve 4(x + 2) = 24.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 4

Worked Example 10

Problem: Solve 7x - 3 = 4x + 12.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Practice Exercise

Create one new question about Subtraction equations up to 100. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.

34.5 Unknown on the left side

Unknown on the left side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Beginner Note

Begin with meaning and a visual or concrete example. Work one step at a time and check the answer before moving on.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: In your own words, what is the main idea of Unknown on the left side?

  1. Read the topic name carefully.
  2. Identify the quantity, relationship, shape, or process it describes.
  3. Explain the idea without using a memorized sentence.

Very beginner explanation: Unknown on the left side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: Unknown on the left side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Worked Example 2

Problem: What should you identify first before solving a problem about Unknown on the left side?

  1. Read the complete problem.
  2. Mark the information that is given.
  3. Identify exactly what the question asks you to find.

Very beginner explanation: Unknown on the left side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: Identify the known information and the unknown before choosing an operation or rule.

Worked Example 3

Problem: Choose a useful representation for Unknown on the left side.

  1. Decide whether a model, number line, table, graph, diagram, equation, or labelled calculation best fits the idea.
  2. Label the representation clearly.
  3. Check that it matches the mathematical relationship.

Very beginner explanation: Unknown on the left side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: Use the representation that makes the important relationship easiest to see and check.

Worked Example 4

Problem: A learner gets an answer in a Unknown on the left side problem. How can the learner check it?

  1. Estimate the expected size or direction of the answer.
  2. Check units, labels, signs, and place values.
  3. Use an inverse operation or a second method when possible.

Very beginner explanation: Unknown on the left side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: The answer should agree with an estimate, the problem conditions, and a second check.

Worked Example 5

Problem: Give a real-life use for Unknown on the left side.

  1. Think about money, measurement, data, patterns, design, or everyday quantities.
  2. Choose a situation where the topic helps compare, calculate, measure, predict, or organize.
  3. Explain the connection in one sentence.

Very beginner explanation: Unknown on the left side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: Unknown on the left side can be used in a real situation where mathematics helps make a clear calculation, comparison, measurement, prediction, or decision.

Worked Example 6

Problem: Explain Unknown on the left side in one simple sentence.

  1. Read the definition of the topic.
  2. Use the definition to build the response.
  3. Check that the response matches every important condition.

Very beginner explanation: Unknown on the left side becomes easier to understand when you connect its definition to examples, non-examples, and representations.

Answer: State the meaning, then give one small example.

Worked Example 7

Problem: Give one example that does not satisfy Unknown on the left side and explain why.

  1. Read the definition of the topic.
  2. Use the definition to build the response.
  3. Check that the response matches every important condition.

Very beginner explanation: Unknown on the left side becomes easier to understand when you connect its definition to examples, non-examples, and representations.

Answer: Identify the rule or condition that fails.

Worked Example 8

Problem: Show Unknown on the left side using a table, diagram, number line, graph, or equation.

  1. Read the definition of the topic.
  2. Use the definition to build the response.
  3. Check that the response matches every important condition.

Very beginner explanation: Unknown on the left side becomes easier to understand when you connect its definition to examples, non-examples, and representations.

Answer: Choose the representation that makes the relationship easiest to see.

Worked Example 9

Problem: After solving a Unknown on the left side problem, how can you check the answer?

  1. Read the definition of the topic.
  2. Use the definition to build the response.
  3. Check that the response matches every important condition.

Very beginner explanation: Unknown on the left side becomes easier to understand when you connect its definition to examples, non-examples, and representations.

Answer: Use estimation, an inverse operation, substitution, or a second representation.

Worked Example 10

Problem: Give one real-life situation where Unknown on the left side could be useful.

  1. Read the definition of the topic.
  2. Use the definition to build the response.
  3. Check that the response matches every important condition.

Very beginner explanation: Unknown on the left side becomes easier to understand when you connect its definition to examples, non-examples, and representations.

Answer: Connect the idea to money, measurement, data, design, or technology.

Practice Exercise

Create one new question about Unknown on the left side. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.

34.6 Unknown on the right side

Unknown on the right side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Beginner Note

Begin with meaning and a visual or concrete example. Work one step at a time and check the answer before moving on.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: In your own words, what is the main idea of Unknown on the right side?

  1. Read the topic name carefully.
  2. Identify the quantity, relationship, shape, or process it describes.
  3. Explain the idea without using a memorized sentence.

Very beginner explanation: Unknown on the right side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: Unknown on the right side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Worked Example 2

Problem: What should you identify first before solving a problem about Unknown on the right side?

  1. Read the complete problem.
  2. Mark the information that is given.
  3. Identify exactly what the question asks you to find.

Very beginner explanation: Unknown on the right side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: Identify the known information and the unknown before choosing an operation or rule.

Worked Example 3

Problem: Choose a useful representation for Unknown on the right side.

  1. Decide whether a model, number line, table, graph, diagram, equation, or labelled calculation best fits the idea.
  2. Label the representation clearly.
  3. Check that it matches the mathematical relationship.

Very beginner explanation: Unknown on the right side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: Use the representation that makes the important relationship easiest to see and check.

Worked Example 4

Problem: A learner gets an answer in a Unknown on the right side problem. How can the learner check it?

  1. Estimate the expected size or direction of the answer.
  2. Check units, labels, signs, and place values.
  3. Use an inverse operation or a second method when possible.

Very beginner explanation: Unknown on the right side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: The answer should agree with an estimate, the problem conditions, and a second check.

Worked Example 5

Problem: Give a real-life use for Unknown on the right side.

  1. Think about money, measurement, data, patterns, design, or everyday quantities.
  2. Choose a situation where the topic helps compare, calculate, measure, predict, or organize.
  3. Explain the connection in one sentence.

Very beginner explanation: Unknown on the right side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: Unknown on the right side can be used in a real situation where mathematics helps make a clear calculation, comparison, measurement, prediction, or decision.

Worked Example 6

Problem: Explain Unknown on the right side in one simple sentence.

  1. Read the definition of the topic.
  2. Use the definition to build the response.
  3. Check that the response matches every important condition.

Very beginner explanation: Unknown on the right side becomes easier to understand when you connect its definition to examples, non-examples, and representations.

Answer: State the meaning, then give one small example.

Worked Example 7

Problem: Give one example that does not satisfy Unknown on the right side and explain why.

  1. Read the definition of the topic.
  2. Use the definition to build the response.
  3. Check that the response matches every important condition.

Very beginner explanation: Unknown on the right side becomes easier to understand when you connect its definition to examples, non-examples, and representations.

Answer: Identify the rule or condition that fails.

Worked Example 8

Problem: Show Unknown on the right side using a table, diagram, number line, graph, or equation.

  1. Read the definition of the topic.
  2. Use the definition to build the response.
  3. Check that the response matches every important condition.

Very beginner explanation: Unknown on the right side becomes easier to understand when you connect its definition to examples, non-examples, and representations.

Answer: Choose the representation that makes the relationship easiest to see.

Worked Example 9

Problem: After solving a Unknown on the right side problem, how can you check the answer?

  1. Read the definition of the topic.
  2. Use the definition to build the response.
  3. Check that the response matches every important condition.

Very beginner explanation: Unknown on the right side becomes easier to understand when you connect its definition to examples, non-examples, and representations.

Answer: Use estimation, an inverse operation, substitution, or a second representation.

Worked Example 10

Problem: Give one real-life situation where Unknown on the right side could be useful.

  1. Read the definition of the topic.
  2. Use the definition to build the response.
  3. Check that the response matches every important condition.

Very beginner explanation: Unknown on the right side becomes easier to understand when you connect its definition to examples, non-examples, and representations.

Answer: Connect the idea to money, measurement, data, design, or technology.

Practice Exercise

Create one new question about Unknown on the right side. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.

34.7 Using inverse operations

Using inverse operations compares quantities. Equivalent ratios and unit rates help learners scale situations and compare choices fairly.

Beginner Note

Begin with meaning and a visual or concrete example. Work one step at a time and check the answer before moving on.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: In your own words, what is the main idea of Using inverse operations?

  1. Read the topic name carefully.
  2. Identify the quantity, relationship, shape, or process it describes.
  3. Explain the idea without using a memorized sentence.

Very beginner explanation: Using inverse operations compares quantities. Equivalent ratios and unit rates help learners scale situations and compare choices fairly.

Answer: Using inverse operations compares quantities. Equivalent ratios and unit rates help learners scale situations and compare choices fairly.

Worked Example 2

Problem: What should you identify first before solving a problem about Using inverse operations?

  1. Read the complete problem.
  2. Mark the information that is given.
  3. Identify exactly what the question asks you to find.

Very beginner explanation: Using inverse operations compares quantities. Equivalent ratios and unit rates help learners scale situations and compare choices fairly.

Answer: Identify the known information and the unknown before choosing an operation or rule.

Worked Example 3

Problem: Choose a useful representation for Using inverse operations.

  1. Decide whether a model, number line, table, graph, diagram, equation, or labelled calculation best fits the idea.
  2. Label the representation clearly.
  3. Check that it matches the mathematical relationship.

Very beginner explanation: Using inverse operations compares quantities. Equivalent ratios and unit rates help learners scale situations and compare choices fairly.

Answer: Use the representation that makes the important relationship easiest to see and check.

Worked Example 4

Problem: A learner gets an answer in a Using inverse operations problem. How can the learner check it?

  1. Estimate the expected size or direction of the answer.
  2. Check units, labels, signs, and place values.
  3. Use an inverse operation or a second method when possible.

Very beginner explanation: Using inverse operations compares quantities. Equivalent ratios and unit rates help learners scale situations and compare choices fairly.

Answer: The answer should agree with an estimate, the problem conditions, and a second check.

Worked Example 5

Problem: Give a real-life use for Using inverse operations.

  1. Think about money, measurement, data, patterns, design, or everyday quantities.
  2. Choose a situation where the topic helps compare, calculate, measure, predict, or organize.
  3. Explain the connection in one sentence.

Very beginner explanation: Using inverse operations compares quantities. Equivalent ratios and unit rates help learners scale situations and compare choices fairly.

Answer: Using inverse operations can be used in a real situation where mathematics helps make a clear calculation, comparison, measurement, prediction, or decision.

Worked Example 6

Problem: Simplify the ratio 4:6.

  1. Find the greatest common factor, 2.
  2. Divide both terms by 2.

Very beginner explanation: Simplifying a ratio is like simplifying a fraction: divide both quantities by the same common factor.

Answer: 2:3

Worked Example 7

Problem: Simplify the ratio 8:12.

  1. Find the greatest common factor, 4.
  2. Divide both terms by 4.

Very beginner explanation: Simplifying a ratio is like simplifying a fraction: divide both quantities by the same common factor.

Answer: 2:3

Worked Example 8

Problem: Simplify the ratio 15:25.

  1. Find the greatest common factor, 5.
  2. Divide both terms by 5.

Very beginner explanation: Simplifying a ratio is like simplifying a fraction: divide both quantities by the same common factor.

Answer: 3:5

Worked Example 9

Problem: Simplify the ratio 18:30.

  1. Find the greatest common factor, 6.
  2. Divide both terms by 6.

Very beginner explanation: Simplifying a ratio is like simplifying a fraction: divide both quantities by the same common factor.

Answer: 3:5

Worked Example 10

Problem: Simplify the ratio 21:28.

  1. Find the greatest common factor, 7.
  2. Divide both terms by 7.

Very beginner explanation: Simplifying a ratio is like simplifying a fraction: divide both quantities by the same common factor.

Answer: 3:4

Practice Exercise

Create one new question about Using inverse operations. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.

34.8 Using models to solve equations

Using models to solve equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Beginner Note

Begin with meaning and a visual or concrete example. Work one step at a time and check the answer before moving on.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: In your own words, what is the main idea of Using models to solve equations?

  1. Read the topic name carefully.
  2. Identify the quantity, relationship, shape, or process it describes.
  3. Explain the idea without using a memorized sentence.

Very beginner explanation: Using models to solve equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: Using models to solve equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Worked Example 2

Problem: What should you identify first before solving a problem about Using models to solve equations?

  1. Read the complete problem.
  2. Mark the information that is given.
  3. Identify exactly what the question asks you to find.

Very beginner explanation: Using models to solve equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: Identify the known information and the unknown before choosing an operation or rule.

Worked Example 3

Problem: Choose a useful representation for Using models to solve equations.

  1. Decide whether a model, number line, table, graph, diagram, equation, or labelled calculation best fits the idea.
  2. Label the representation clearly.
  3. Check that it matches the mathematical relationship.

Very beginner explanation: Using models to solve equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: Use the representation that makes the important relationship easiest to see and check.

Worked Example 4

Problem: A learner gets an answer in a Using models to solve equations problem. How can the learner check it?

  1. Estimate the expected size or direction of the answer.
  2. Check units, labels, signs, and place values.
  3. Use an inverse operation or a second method when possible.

Very beginner explanation: Using models to solve equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: The answer should agree with an estimate, the problem conditions, and a second check.

Worked Example 5

Problem: Give a real-life use for Using models to solve equations.

  1. Think about money, measurement, data, patterns, design, or everyday quantities.
  2. Choose a situation where the topic helps compare, calculate, measure, predict, or organize.
  3. Explain the connection in one sentence.

Very beginner explanation: Using models to solve equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: Using models to solve equations can be used in a real situation where mathematics helps make a clear calculation, comparison, measurement, prediction, or decision.

Worked Example 6

Problem: Solve 2x + 5 = 17.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 6

Worked Example 7

Problem: Solve 3x - 4 = 11.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Worked Example 8

Problem: Solve 5x + 7 = 2x + 22.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Worked Example 9

Problem: Solve 4(x + 2) = 24.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 4

Worked Example 10

Problem: Solve 7x - 3 = 4x + 12.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Practice Exercise

Create one new question about Using models to solve equations. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.

34.9 Equation word problems

Equation word problems introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Beginner Note

Begin with meaning and a visual or concrete example. Work one step at a time and check the answer before moving on.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: In your own words, what is the main idea of Equation word problems?

  1. Read the topic name carefully.
  2. Identify the quantity, relationship, shape, or process it describes.
  3. Explain the idea without using a memorized sentence.

Very beginner explanation: Equation word problems introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: Equation word problems introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Worked Example 2

Problem: What should you identify first before solving a problem about Equation word problems?

  1. Read the complete problem.
  2. Mark the information that is given.
  3. Identify exactly what the question asks you to find.

Very beginner explanation: Equation word problems introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: Identify the known information and the unknown before choosing an operation or rule.

Worked Example 3

Problem: Choose a useful representation for Equation word problems.

  1. Decide whether a model, number line, table, graph, diagram, equation, or labelled calculation best fits the idea.
  2. Label the representation clearly.
  3. Check that it matches the mathematical relationship.

Very beginner explanation: Equation word problems introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: Use the representation that makes the important relationship easiest to see and check.

Worked Example 4

Problem: A learner gets an answer in a Equation word problems problem. How can the learner check it?

  1. Estimate the expected size or direction of the answer.
  2. Check units, labels, signs, and place values.
  3. Use an inverse operation or a second method when possible.

Very beginner explanation: Equation word problems introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: The answer should agree with an estimate, the problem conditions, and a second check.

Worked Example 5

Problem: Give a real-life use for Equation word problems.

  1. Think about money, measurement, data, patterns, design, or everyday quantities.
  2. Choose a situation where the topic helps compare, calculate, measure, predict, or organize.
  3. Explain the connection in one sentence.

Very beginner explanation: Equation word problems introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Answer: Equation word problems can be used in a real situation where mathematics helps make a clear calculation, comparison, measurement, prediction, or decision.

Worked Example 6

Problem: Solve 2x + 5 = 17.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 6

Worked Example 7

Problem: Solve 3x - 4 = 11.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Worked Example 8

Problem: Solve 5x + 7 = 2x + 22.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Worked Example 9

Problem: Solve 4(x + 2) = 24.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 4

Worked Example 10

Problem: Solve 7x - 3 = 4x + 12.

  1. Simplify each side if needed.
  2. Use inverse operations to collect variable terms and constants.
  3. Keep both sides balanced.
  4. Check by substitution.

Very beginner explanation: An equation stays balanced when equivalent operations are applied correctly.

Answer: x = 5

Practice Exercise

Create one new question about Equation word problems. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.

34.10 Checking solutions by substitution

Checking solutions by substitution is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Beginner Note

Begin with meaning and a visual or concrete example. Work one step at a time and check the answer before moving on.

10 Worked Examples with Answers and Very-Beginner Explanations

Worked Example 1

Problem: In your own words, what is the main idea of Checking solutions by substitution?

  1. Read the topic name carefully.
  2. Identify the quantity, relationship, shape, or process it describes.
  3. Explain the idea without using a memorized sentence.

Very beginner explanation: Checking solutions by substitution is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: Checking solutions by substitution is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Worked Example 2

Problem: What should you identify first before solving a problem about Checking solutions by substitution?

  1. Read the complete problem.
  2. Mark the information that is given.
  3. Identify exactly what the question asks you to find.

Very beginner explanation: Checking solutions by substitution is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: Identify the known information and the unknown before choosing an operation or rule.

Worked Example 3

Problem: Choose a useful representation for Checking solutions by substitution.

  1. Decide whether a model, number line, table, graph, diagram, equation, or labelled calculation best fits the idea.
  2. Label the representation clearly.
  3. Check that it matches the mathematical relationship.

Very beginner explanation: Checking solutions by substitution is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: Use the representation that makes the important relationship easiest to see and check.

Worked Example 4

Problem: A learner gets an answer in a Checking solutions by substitution problem. How can the learner check it?

  1. Estimate the expected size or direction of the answer.
  2. Check units, labels, signs, and place values.
  3. Use an inverse operation or a second method when possible.

Very beginner explanation: Checking solutions by substitution is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: The answer should agree with an estimate, the problem conditions, and a second check.

Worked Example 5

Problem: Give a real-life use for Checking solutions by substitution.

  1. Think about money, measurement, data, patterns, design, or everyday quantities.
  2. Choose a situation where the topic helps compare, calculate, measure, predict, or organize.
  3. Explain the connection in one sentence.

Very beginner explanation: Checking solutions by substitution is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Answer: Checking solutions by substitution can be used in a real situation where mathematics helps make a clear calculation, comparison, measurement, prediction, or decision.

Worked Example 6

Problem: Simplify 3x + 4x.

  1. Identify like terms or distribute first if parentheses are present.
  2. Combine coefficients carefully.

Very beginner explanation: Like terms have the same variable part. The distributive property multiplies every term inside parentheses.

Answer: 7x

Worked Example 7

Problem: Simplify 8y - 3y + 2.

  1. Identify like terms or distribute first if parentheses are present.
  2. Combine coefficients carefully.

Very beginner explanation: Like terms have the same variable part. The distributive property multiplies every term inside parentheses.

Answer: 5y + 2

Worked Example 8

Problem: Simplify 4(a + 2).

  1. Identify like terms or distribute first if parentheses are present.
  2. Combine coefficients carefully.

Very beginner explanation: Like terms have the same variable part. The distributive property multiplies every term inside parentheses.

Answer: 4a + 8

Worked Example 9

Problem: Simplify 2(3x - 5) + x.

  1. Identify like terms or distribute first if parentheses are present.
  2. Combine coefficients carefully.

Very beginner explanation: Like terms have the same variable part. The distributive property multiplies every term inside parentheses.

Answer: 7x - 10

Worked Example 10

Problem: Simplify 6m + 7 - 2m - 3.

  1. Identify like terms or distribute first if parentheses are present.
  2. Combine coefficients carefully.

Very beginner explanation: Like terms have the same variable part. The distributive property multiplies every term inside parentheses.

Answer: 4m + 4

Practice Exercise

Create one new question about Checking solutions by substitution. Solve it step by step, include units or labels when needed, and check whether your answer is reasonable.

Chapter Notes, Practice, and Common Mistakes

Chapter Notes

  • Read the question before calculating.
  • Represent the mathematics with a model, table, graph, diagram, number line, or equation when useful.
  • Show the reasoning and check the final answer with a second method when possible.

Extra Practice

  1. Create and solve one original problem about Meaning of equality.
  2. Create and solve one original problem about Unknowns in equations.
  3. Create and solve one original problem about Addition equations up to 100.
  4. Create and solve one original problem about Subtraction equations up to 100.
  5. Create and solve one original problem about Unknown on the left side.
  6. Create and solve one original problem about Unknown on the right side.

Common Mistakes

  • Skipping the meaning and trying to memorize a rule only.
  • Using the wrong operation because the question was not read completely.
  • Ignoring units, labels, place values, or the context of the problem.
  • Not estimating or checking whether the final answer is reasonable.
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30 Review Questions and Answers

Q1. What is the key idea in Meaning of equality?

Answer: Meaning of equality helps learners collect, organize, display, and interpret information carefully so conclusions are supported by evidence.

Q2. What is the key idea in Unknowns in equations?

Answer: Unknowns in equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Q3. What is the key idea in Addition equations up to 100?

Answer: Addition equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Q4. What is the key idea in Subtraction equations up to 100?

Answer: Subtraction equations up to 100 develops accurate calculation and problem solving. Learners choose a strategy, show the steps, estimate when useful, and check the result with an inverse operation or another method.

Q5. What is the key idea in Unknown on the left side?

Answer: Unknown on the left side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Q6. What is the key idea in Unknown on the right side?

Answer: Unknown on the right side is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Q7. What is the key idea in Using inverse operations?

Answer: Using inverse operations compares quantities. Equivalent ratios and unit rates help learners scale situations and compare choices fairly.

Q8. What is the key idea in Using models to solve equations?

Answer: Using models to solve equations introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Q9. What is the key idea in Equation word problems?

Answer: Equation word problems introduces algebraic thinking by describing relationships, using symbols for unknown values, and checking whether mathematical statements are true.

Q10. What is the key idea in Checking solutions by substitution?

Answer: Checking solutions by substitution is an important Grade 5 mathematics idea. Learn its meaning first, then connect it to a representation, a worked example, and a real-life use.

Q11. Why should you estimate before or after a calculation?

Answer: Estimation gives a reasonable range and can reveal place-value or operation mistakes.

Q12. Why are labels and units important?

Answer: They show what a number represents and help prevent mixing unlike quantities.

Q13. How can a diagram help solve a problem?

Answer: A diagram makes quantities and relationships visible before calculation.

Q14. How can inverse operations check an answer?

Answer: An inverse operation reverses the original operation and should recover the starting value when the work is correct.

Q15. Why should you show steps?

Answer: Showing steps makes reasoning clear and helps find where an error happened.

Q16. What should you do after making a mistake?

Answer: Find the step where the reasoning changed, correct it, and try a similar problem again.

Q17. How can a number line support reasoning?

Answer: It shows order, distance, relative size, fractions, decimals, and inequality solutions visually.

Q18. When is a table useful?

Answer: A table organizes related values so patterns and comparisons are easier to see.

Q19. When is a graph useful?

Answer: A graph makes trends, comparisons, locations, or data patterns visible.

Q20. How do you decide which operation to use?

Answer: Use the meaning of the situation: combine, compare, find a difference, form equal groups, or find how many groups fit.

Q21. Why should you check place value?

Answer: A digit or decimal has a different value depending on its position.

Q22. What makes an answer reasonable?

Answer: It fits the context, has the expected size and units, and agrees with an estimate or second method.

Q23. How can you explain mathematical reasoning clearly?

Answer: Name the information, the rule or operation, the steps, and why the final answer fits the problem.

Q24. Why can more than one strategy be correct?

Answer: Different valid strategies can represent the same mathematical relationship and lead to the same result.

Q25. How should you approach a difficult Grade 5 problem?

Answer: Break it into smaller parts, solve one part at a time, and check each result before continuing.

Q26. How can you practise Solving Addition and Subtraction Equations effectively?

Answer: Work a small example, explain every step, check the answer, then try a similar problem without looking at the first solution.

Q27. How can you practise Solving Addition and Subtraction Equations effectively?

Answer: Work a small example, explain every step, check the answer, then try a similar problem without looking at the first solution.

Q28. How can you practise Solving Addition and Subtraction Equations effectively?

Answer: Work a small example, explain every step, check the answer, then try a similar problem without looking at the first solution.

Q29. How can you practise Solving Addition and Subtraction Equations effectively?

Answer: Work a small example, explain every step, check the answer, then try a similar problem without looking at the first solution.

Q30. How can you practise Solving Addition and Subtraction Equations effectively?

Answer: Work a small example, explain every step, check the answer, then try a similar problem without looking at the first solution.