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. It does not have an equality sign.

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What are like terms in algebra?

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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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What is the distributive property?

Back

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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How do you simplify the expression 6(5x + 7)?

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To simplify 6(5x + 7), apply the distributive property: 6 * 5x + 6 * 7 = 30x + 42.

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What is the result of combining the like terms 4n + 3n?

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The result of combining 4n + 3n is 7n.

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What does it mean to simplify an expression?

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To simplify an expression means to reduce it to its simplest form by combining like terms and performing any operations.

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What is the result of the expression -(4x - 3) + 2(x + 5)?

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The result is -2x + 13 after distributing and combining like terms.

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How do you simplify the expression -2(x + 5)?

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To simplify -2(x + 5), apply the distributive property: -2 * x - 2 * 5 = -2x - 10.

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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 in an expression or equation.

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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.