Model Algebraic expressions with tiles

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What is an algebraic expression?

Back

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 do algebra tiles represent?

Back

Algebra tiles are physical or visual tools used to represent algebraic expressions and equations. They help in understanding the concepts of variables and constants.

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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. For example, in 3x, 3 is the coefficient.

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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.

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What is the purpose of simplifying an algebraic expression?

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Simplifying an algebraic expression makes it easier to work with by reducing it to its simplest form.

Front

What does the expression 2x + 3x represent?

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The expression 2x + 3x represents 5x, as you combine the like terms.

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What is the difference between a variable and a constant?

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A variable is a symbol (like x or y) that represents an unknown value, while a constant is a fixed value (like 5 or -3).

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What does the expression -2x - 6 represent in terms of algebra tiles?

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The expression -2x - 6 represents 2 negative x tiles and 6 negative unit tiles.

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How can you represent the expression 5 + 3x using algebra tiles?

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You can represent 5 with 5 unit tiles and 3x with 3 positive x tiles.

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What is the result of simplifying 3x + 5x?

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The result of simplifying 3x + 5x is 8x.