Algebraic Expressions and Distributive Property

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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. For example, 3x + 5 is an algebraic expression.

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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 it to its simplest form. For example, 2x + 3x simplifies to 5x.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a set of parentheses.

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What is a variable in algebra?

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A variable is a symbol, often a letter, that represents an unknown value. For example, in the expression 5x, 'x' is the variable.

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What does it mean to evaluate an expression?

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To evaluate an expression means to calculate its value by substituting the variables with specific numbers. For example, to evaluate 2x + 3 for x = 4, you would calculate 2(4) + 3 = 11.

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What is a coefficient?

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A coefficient is a numerical factor in a term of an algebraic expression. In the term 4x, 4 is the coefficient.

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What is a constant in an algebraic expression?

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A constant is a fixed value that does not change. For example, in the expression 3x + 5, the number 5 is a constant.

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How do you write an expression for '4 more than a number n'?

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How do you write an expression for '7 less than a number x'?

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