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 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?

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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 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, 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 two or more terms inside parentheses.

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How do you factor an algebraic expression?

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Factoring an algebraic expression involves rewriting it as a product of its factors. For example, 2x + 4 can be factored as 2(x + 2).

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What is the difference between expanding and factoring?

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Expanding involves multiplying out expressions, while factoring involves breaking down expressions into their component factors.

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What is a polynomial?

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A polynomial is an algebraic expression that consists of terms with non-negative integer exponents. For example, 4x^2 + 3x + 2 is a polynomial.

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What is the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the expression. For example, in 3x^3 + 2x^2 + x, the degree is 3.

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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 an algebraic expression. For example, in 5x, 5 is the coefficient.