Question

Use algebra tiles to model the expression. then, use the model to help you write an equivalent expression, and complete the statements. 3(x 1) model the expression as groups of x 1. there are x tiles. there are 1 tiles. the equivalent expression is .

Answer 1

The equivalent expression as per algebra tiles is 3x+3.

One group means (x 1)

or x    1

Three groups mean 3(x 1)

or x   1

   x    1

   x    1

Now, we have to write an equivalent expression.

What is algebra tiles methodology?

Algebra tiles are mathematical manipulatives that allow students to better understand ways of algebraic thinking and the concepts of algebra.

For example, one can represent the variable part by any geometric object and add them to represent the addition of variables.

As per algebra tiles

Add integer to integer

So, x + x + x =3x

Add variable to variable

So, 1 + 1 +1 =3

So, 3(x 1) = 3x+3

Therefore, the equivalent expression as per algebra tiles is 3x+3.

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