Distributive Prop w/ Alg Tiles (7.PFA.2b #1)

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What is the Distributive Property?

Back

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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How do you apply the Distributive Property with algebra tiles?

Back

You can use algebra tiles to visually represent the multiplication of a term by a sum, showing how each part of the sum is multiplied by the term.

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What does the expression 4(3x + 2) represent?

Back

It represents the total amount when you have 4 groups of (3x + 2), which can be expanded to 12x + 8.

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If you have 10x + 5 tiles, how many tiles do you have in total?

Back

You have a total of 10x + 5 tiles, where 10x represents the variable tiles and 5 represents the constant tiles.

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What is the result of applying the Distributive Property to -3(x - 1)?

Back

The result is -3x + 3, as you multiply -3 by both x and -1.

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How can you simplify the expression 8 + 4x?

Back

The expression 8 + 4x is already in its simplest form, representing 8 constant tiles and 4x variable tiles.

Front

What does the expression 4(-3x - 2) simplify to?

Back

It simplifies to -12x - 8, as you distribute 4 to both -3x and -2.

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What is the total number of tiles represented by -10x - 5?

Back

The total number of tiles is -10x - 5, indicating a negative amount of variable tiles and a negative constant.

Front

What does the expression 3(x + 1) represent?

Back

It represents 3 groups of (x + 1), which can be expanded to 3x + 3.

Front

How do you find the total amount of tiles in an expression?

Back

To find the total amount of tiles, combine like terms in the expression.