Algebraic Expressions Topic 4 Review

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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 factor an expression?

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Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression. For example, factoring 9x can give you 3(3x).

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How do you simplify an algebraic expression?

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To simplify an algebraic expression, combine like terms and perform any operations to reduce it to its simplest form. For example, 2x + 3x simplifies to 5x.

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What are like terms?

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Like terms are terms in an expression that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 3y are not.

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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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How do you expand an expression using the distributive property?

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To expand an expression using the distributive property, multiply the term outside the parentheses by each term inside the parentheses. For example, -5(x - 2) expands to -5x + 10.

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What is the process of combining like terms?

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Combining like terms involves adding or subtracting coefficients of like terms to simplify an expression. For example, 2x + 3x = 5x.

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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. For example, in the expression 2x + 3, 'x' is the variable.

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What does it mean to evaluate an expression?

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Evaluating an expression means substituting the values of the variables into the expression and performing the operations to find a numerical result.

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What is the area of a rectangle formula?

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The area of a rectangle is calculated using the formula: Area = length × width.