Algebraic Expressions and Simplification

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What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 2x + 3 is an algebraic expression.

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What does it mean to simplify an expression?

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

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What are like terms?

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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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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 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 combine like terms?

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To combine like terms, add or subtract their coefficients. For example, 2x + 3x = 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 in a parenthesis.

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What is the result of simplifying 2x - 5x + 6x?

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The result is 3x.

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What is the value of -11 - (-4)?

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The value is -7.

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What is the constant of proportionality?

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The constant of proportionality is the constant value of the ratio of two proportional quantities. For example, in y = kx, k is the constant of proportionality.