Year 7 - Maths
Algebraic terminology
Expressions and equations
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, pupils learn about generalisation and formal algebraic manipulation techniques such as substitution, collecting like terms and factorising.
Lesson Summary
You will learn to correctly identify: term, coefficient, factor, product, expression, formula, identity and equation.
Key Notes
- Words you have used to describe numbers can also be used in algebra like factor and product.
- It is important to be able to use the words term and coefficient correctly.
- Knowing the difference between an expression, a formula, an equation and identity can help you speak mathematically.
Vocabulary To Learn
- Identity: An identity is an equation that holds true for all values of the variables. The symbol ≡ is used to show two expressions form an identity.
- Formula: A formula is a rule linking sets of physical variables in context. The plural of formula is formulae.
- Coefficient: A numerical coefficient is a constant multiplier of the variables in a term.
- Constant: A constant is a term that does not change; it contains no variables.
Common Mistakes To Avoid
- Pupils may think the coefficient of b in a-2b is 2 instead of -2 .
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Words you have used to describe numbers can also be used in algebra like factor and product. It is important to be able to use the words term and coefficient correctly.
2. Use this key word in a maths sentence and explain it clearly. 'Identity'
An identity is an equation that holds true for all values of the variables. The symbol ≡ is used to show two expressions form an identity. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may think the coefficient of b in a-2b is 2 instead of -2 . Correction: Show subtraction as addition of a negative value. This can be done with negative algebra tiles.
More Lessons In This Unit
- Algebraic notation Study Guide
- Checking understanding of expressions and equations Study Guide
- Factorising expressions Study Guide
- Generalised algebraic statements Study Guide
- Highest common factor with algebraic terms Study Guide
- Like terms Study Guide
- Multiplying an expression by a constant Study Guide
- Multiplying an expression by a term Study Guide
- Multiplying and simplifying with multiple expressions Study Guide
- Problem solving with expressions and equations Study Guide
- Representing a generalised number Study Guide
- Representing an unknown or variable Study Guide
- Securing understanding of expressions and equations Study Guide
- Simplifying before multiplying with multiple expressions Study Guide
- Simplifying by collecting like terms Study Guide
- Substituting particular values Study Guide
Browse all guides in the Year 7 Maths guide library.