Simplifying 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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What does it mean to simplify an algebraic expression?

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To simplify an algebraic expression means to combine like terms and reduce it to its simplest form.

Front

What are like terms in algebra?

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Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

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How do you distribute in algebraic expressions?

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Distributing involves multiplying a term outside the parentheses by each term inside the parentheses. For example, 3(x + 2) becomes 3x + 6.

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What is the coefficient in an algebraic expression?

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The coefficient is the numerical factor in a term. For example, in 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 2x + 5, the number 5 is a constant.

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How do you combine like terms?

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To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 2x = 5x.

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What is the result of simplifying the expression 7(3x - 5)?

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The result is 21x - 35.

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What is the result of simplifying the expression 15x + 3x?

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The result is 18x.

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What is the result of simplifying the expression 7x + 21x - 15?

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The result is 28x - 15.