7.11 Algebra Tiles Retake

Front

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 factoring.

Front

What does a positive tile represent?

Back

A positive tile represents a positive value or variable in an algebraic expression.

Front

What does a negative tile represent?

Back

A negative tile represents a negative value or variable in an algebraic expression.

Front

How do you create zero pairs with algebra tiles?

Back

Zero pairs are created by pairing a positive tile with a negative tile, which cancels each other out, resulting in a value of zero.

Front

What is the expression represented by 2 positive x-tiles and 6 negative unit tiles?

Back

The expression is 2x - 6.

Front

How do you simplify the expression 2x + 4 - 4 using algebra tiles?

Back

You can remove the 4 negative unit tiles and the 4 positive unit tiles, simplifying it to just 2x.

Front

What is the result of combining 3x and -5 using algebra tiles?

Back

The result is 3x - 5.

Front

What does the expression -2x + 4 represent in terms of algebra tiles?

Back

It represents 2 negative x-tiles and 4 positive unit tiles.

Front

How can you model the expression x + 6 with algebra tiles?

Back

You can model it with 1 positive x-tile and 6 positive unit tiles.

Front

What is the significance of the zero product property in algebra?

Back

The zero product property states that if the product of two factors is zero, at least one of the factors must be zero.