Algebraic Expressions
Algebraic expressions combine variables, constants, and operations, and we can add, subtract, multiply, and simplify them using algebraic ru
Core concept
Terms in an expression, like 3x, -2y, or 5, are separated by + or - signs, and like terms (same variable and power) can be combined.
How it works
Adding or subtracting expressions involves combining like terms, like (3x+2y) + (x-y) = 4x+y.
Why it matters
Multiplying expressions, like (x+2)(x+3), involves distributing each term, giving x²+3x+2x+6 = x²+5x+6.
Key detail
Mastering algebraic expression operations is essential for solving equations and more advanced algebra topics.
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• Terms are separated by + or - signs.
• Like terms have the same variable and power.
• Adding expressions combines like terms.
• (3x+2y)+(x-y) = 4x+y.
• Multiplying expressions distributes each term.
• (x+2)(x+3) = x²+5x+6.
• This is essential for solving equations.
• It prepares for advanced algebra.