modeling expressions

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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 + 2 is an algebraic expression.

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What does the term 'coefficient' mean?

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A coefficient is a numerical factor in a term of an algebraic expression. In 3x, 3 is the coefficient.

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What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value. For example, in the expression 2x + 5, 'x' is the variable.

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How do you combine like terms?

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To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power. For example, 3x + 2x = 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 each term inside a parentheses.

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What does it mean to model an expression?

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Modeling an expression means representing it visually or physically, often using tools like algebra tiles or graphs.

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What is the difference between an expression and an equation?

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An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal, using an equality sign.

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What is the purpose of using algebra tiles?

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Algebra tiles are manipulatives used to visually represent algebraic expressions and help in understanding concepts like combining like terms and modeling expressions.

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How can you simplify the expression 3x + 2 + 2x + 6?

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Combine like terms: 3x + 2x = 5x and 2 + 6 = 8, so the simplified expression is 5x + 8.

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What does the term 'constant' refer to in an expression?

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A constant is a fixed value that does not change. In the expression 4x + 5, 5 is the constant.