Algebra tiles and 1 step equations

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What are algebra tiles?

Back

Algebra tiles are physical or virtual manipulatives used to represent algebraic expressions and equations visually. They help in understanding concepts like addition, subtraction, and solving equations.

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How do you represent a positive integer using algebra tiles?

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A positive integer is represented by a tile that is typically colored (e.g., yellow) to indicate a positive value.

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How do you represent a negative integer using algebra tiles?

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A negative integer is represented by a tile that is typically colored differently (e.g., red) to indicate a negative value.

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What does it mean to isolate a variable in an equation?

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Isolating a variable means manipulating the equation to get the variable alone on one side of the equation, making it easier to solve.

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What is the first step in solving the equation X + 6 = 2?

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The first step is to subtract 6 from both sides of the equation to isolate X.

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What is the purpose of bringing in negatives to both sides of an equation?

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Bringing in negatives to both sides of an equation helps to maintain the equality while simplifying the equation.

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What does the equation X + 6 = 2 represent in terms of algebra tiles?

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It represents a model where a positive tile (X) and a positive tile (6) are balanced against a negative tile (2) on the other side.

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What is the goal when solving an equation?

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The goal is to isolate the variable to find its value.

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How can you check if your solution to an equation is correct?

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You can check your solution by substituting the value back into the original equation to see if both sides are equal.

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What is the significance of the equal sign in an equation?

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The equal sign indicates that the expressions on both sides of the equation have the same value.