### Home > CC2 > Chapter 4 > Lesson 4.3.3 > Problem4-113

4-113.

Sketch each collection of tiles below. Name the collection using a simpler algebraic expression, if possible. If it is not possible to simplify the expression, explain why not.

1. $(-2x)+5+3x-4x+(-1)+(-x)$

Try drawing your own Expression Mat to help you simplify this expression.

$−4x+4$

1. Six plus four times a number, plus four minus four times the number.

Use the tiles drawn for you.

• Since there are $4$ positive $x$-tiles and $4$ negative $x$-tiles, there are no $x$-tiles left.
Then you combine the remaining unit tiles.

$10$

2. Three groups of a number plus two.

The tiles are drawn for you. Can you simplify the expression?

3. $5+7x^2+4x$

Take a look at this expression. Are there any terms you can combine? Remember, you can only combine terms which share the exact same variable.

4. $4x^2-2x^2+(-6)+3$

Draw a picture to help you simplify this expression.
Use parts (b) and (c) as guides.

Use the eTool below to simplify the expressions.
Click the link at right for the full version of the eTool: 4-113 HW eTool