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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 is a common difference in a sequence?

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The common difference is the amount added to each term to get to the next term in an arithmetic sequence. For example, in the sequence 4, 7, 10, 13, the common difference is 3.

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How do you find the next terms in an arithmetic sequence?

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To find the next terms in an arithmetic sequence, identify the common difference and add it to the last known term.

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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.

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What is the result of combining like terms in the expression a + a + a + a?

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The result is 4a.

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How do you combine the expression 4x - 3 + 2 - 2x?

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Combine like terms: (4x - 2x) + (-3 + 2) = 2x - 1.

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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 a set of parentheses.

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What is the result of applying the distributive property to 6(3x + 5)?

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The result is 18x + 30.

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What is the result of the expression 6(3x + 5) + 2(x - 4)?

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The result is 20x + 22.

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What is a variable in algebra?

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A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 2x + 3, 'x' is a variable.