Unit 5: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. For example, 3x + 5 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 perform any operations to make the expression as concise as possible.

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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, 2x and 3x are like terms.

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How do you expand an expression?

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To expand an expression means to multiply out the terms. For example, expanding 3(x + 2) gives 3x + 6.

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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 parenthesis.

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What is the perimeter of a triangle?

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The perimeter of a triangle is the total length of all its sides. It can be found by adding the lengths of each side.

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How do you combine like terms?

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To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 2x + 3x = 5x.

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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 4x, 4 is the coefficient.

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What does it mean to factor an expression?

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Factoring an expression means to break it down into simpler components that, when multiplied together, give the original expression.

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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.