Algebraic Expressions Topic 4 Post-Test 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 (like x or y), and operations (like addition, subtraction, multiplication, and division).

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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.

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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. For example, 2x and 3x are like terms.

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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 parentheses.

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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, 3x + 2x = 5x.

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

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What is the process of expanding an expression?

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Expanding an expression involves using the distributive property to remove parentheses and combine like terms.

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What is the result of simplifying 1/2k - 7 - 2k^2 + 3/4k - 5?

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The result is 1 1/4k - 12 - 2k^2.

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

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The result is -20x + 10.

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What is the sum of (5x - 3y) + (-4x - 2y)?

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The sum is x - 5y.