Review Adding and Subtracting Algebraic Expressions

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What are algebraic expressions?

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Algebraic expressions are mathematical phrases that can include numbers, variables (like x or y), and operations (like addition or subtraction). They do not have an equal sign.

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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, 2x and 5x are like terms, while 2x and 3y are not.

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How do you combine like terms?

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To combine like terms, add or subtract the coefficients (the numerical parts) of the terms while keeping the variable part the same. For example, 3x + 2x = 5x.

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What is a constant in an algebraic expression?

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A constant is a term in an algebraic expression that does not contain any variables. For example, in the expression 5x - 9, -9 is the constant.

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What is the 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 4x, 4 is the coefficient.

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What does it mean to simplify an expression?

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Simplifying an expression means to combine like terms and reduce it to its simplest form, making it easier to understand or solve.

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What is the result of (-3p^2 - 8p^4) - (-3p^2 - 6p^4)?

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The result is -2p^4.

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What is the result of (4a^3 - 8a - 4a^2) + (7a^3 - 7 - 6a)?

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The result is 11a^3 - 4a^2 - 14a - 7.

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Identify the like terms in the expression: 6x + 3 - 2x + 5.

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The like terms are 6x and -2x.

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What is the simplified form of 6x + 3 - 2x + 5?

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The simplified form is 4x + 8.