Introduction to Algebraic Expressions
Learning to form expressions using letters (variables) and numbers.
Core concept
Algebraic expressions are a powerful tool for representing general relationships and solving problems where the exact value isn't yet known — for example, 'a number increased by 7' is written algebraically as x+7, allowing the same expression to work for any starting number. Constants are fixed numerical values within an expression (like the 5 in 3x+5), while coefficients are the numbers multiplying a variable (like the 3 in 3x), and understanding this vocabulary is essential for working with algebra in later mathematics.
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• An algebraic expression combines variables (letters) with numbers and operations.
• 3x+5 means 'three times x, plus 5', where x is an unknown value.
• A constant is a fixed value in an expression; a coefficient is the number multiplying a variable.
• Algebra allows general relationships to be expressed without knowing the exact value.