Welcome to the world of algebra! Instead of just working...
Maths72 views·Updated Jun 13, 2026·2 pagesUnderstanding Algebra: Basic Terms and Examples
beanie @beanie_study
1
of 2
The Building Blocks of Algebra
Think of pronumerals (also called variables) as mystery boxes that can hold different numbers - they're just letters like x, y, or z that stand in for unknown values. When you see AB, it means A × B, and A/B means A ÷ B. If you see A², that's just A × A written in a shorter way.
An expression is like a mathematical sentence that mixes numbers and letters with operations - for example, 3x + 2yz. Each separate part of an expression is called a term, like 9a or 10cd, which only uses multiplication, division, numbers, and letters.
The coefficient is the number that sits in front of a letter, telling you how many of that variable you have. In 4x + y - 4z, the coefficient of x is 4, y is 1 (even though you can't see it), and z is -4 (because it's being subtracted).
Quick Tip: If there's no number in front of a letter, the coefficient is always 1 - it's just invisible! A constant term is any number that stands alone without variables.
2
of 2
Translating Words into Algebra
Converting everyday language into algebraic expressions is easier than you think! "The sum of a and b" simply means a + b, whilst "difference" always involves subtraction.
Order matters with subtraction - "subtract a from b" means b - a (you're taking a away from b), but "subtract b from a" means a - b. It's like the difference between "take £5 from £10" versus "take £10 from £5" - completely different results!
"The product of a and b" means a × b (written as ab), and "the quotient of a and b" means a ÷ b or a/b. When you see "the square of a", that's a², but be careful - "the square of ab" can be written as (ab)² or a²b².
Remember: These word-to-algebra translations appear constantly in exam questions, so practising them now will save you loads of time later!
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Maths72 views·Updated Jun 13, 2026·2 pagesUnderstanding Algebra: Basic Terms and Examples
beanie @beanie_study
Welcome to the world of algebra! Instead of just working with numbers, algebra uses letters (called pronumerals or variables) to represent unknown values, making maths much more flexible and powerful.
1
of 2
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The Building Blocks of Algebra
Think of pronumerals (also called variables) as mystery boxes that can hold different numbers - they're just letters like x, y, or z that stand in for unknown values. When you see AB, it means A × B, and A/B means A ÷ B. If you see A², that's just A × A written in a shorter way.
An expression is like a mathematical sentence that mixes numbers and letters with operations - for example, 3x + 2yz. Each separate part of an expression is called a term, like 9a or 10cd, which only uses multiplication, division, numbers, and letters.
The coefficient is the number that sits in front of a letter, telling you how many of that variable you have. In 4x + y - 4z, the coefficient of x is 4, y is 1 (even though you can't see it), and z is -4 (because it's being subtracted).
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of 2Sign up to see the content. It's free!
- Access to all documents
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Translating Words into Algebra
Converting everyday language into algebraic expressions is easier than you think! "The sum of a and b" simply means a + b, whilst "difference" always involves subtraction.
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