Algebraic Expressions

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

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How do you evaluate an algebraic expression?

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To evaluate an algebraic expression, substitute the values of the variables into the expression and perform the arithmetic operations according to the order of operations.

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What is the order of operations in mathematics?

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The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

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What does it mean to simplify an algebraic expression?

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Simplifying an algebraic expression means to combine like terms and reduce the expression to its simplest form.

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What are like terms in an algebraic expression?

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Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

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How do you distribute in algebra?

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Distributing involves multiplying a single term by each term inside a set of parentheses. For example, a(b + c) = ab + ac.

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 3x, 3 is the coefficient.

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What is a variable in an algebraic expression?

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A variable is a symbol, usually a letter, that represents an unknown value in an algebraic expression.

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How do you write an expression for a real-world scenario?

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To write an expression for a real-world scenario, identify the quantities involved, assign variables to unknowns, and use mathematical operations to represent relationships.

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What is the difference between an expression and an equation?

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An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal, containing an equality sign.