Question

Explain how to model the problem with algebra tiles and then write an algebraic expression that represents the situation.

Daniel worked three times as many hours. (Spams and usless will be reported)

Answer 1

Answer:

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables. For example, we can use square tiles to represent numbers. Each square tile is equal to one. So, four can be represented by four square tiles.

Answer 2

Given: let the algebraic expression to be solved by tiles be $(3x+4)-(2x+2)$.

To find: solve the algebraic expression using tiles.

Step-by-step explanation:

Step 1 of 4

In algebra tiles we represent different terms with the help of different tiles which are different in colour.

For the given expression let the green tile represent the variable "x" and yellow tile represent the constant.

Step 2 of 4

The tiles representing the first term be (3x+4)

And the tiles representing the second term be (2x+2)

Step 3 of 4

The expressions are getting subtracted so the colour of tiles will be changed to red. and the second expression will become (-2x-2).

Step 4 of 4

The expression after subtracting is (x+2).

THE TILES ARE SHOWN BELOW: