### Home > MC2 > Chapter 6 > Lesson 6.2.6 > Problem6-124

6-124.

Copy and simplify the following expressions by combining like terms, making zeros, and using the Distributive Property. Using algebra tiles may be helpful. .

1. $(–1) + 4x + 2 + 2x + x$

Group like terms so that they can be combined.
$(4x + 2x + x) + (−1 + 2)$

$7x + 1$

1. $–8x + 4 + (–3) + 10x$

Visualize $8$ negative x tiles, $4$ positive unit tiles, $3$ negative unit tiles, and $10$ positive $x$ tiles. If a negative and a positive tile of the same value make a zero, how many tiles are remaining?

1. $(–4) + 1x^2 + 3x + 4$

Group like terms.
$(−4 + 4) + 1x^2 + 3x$

Combine like terms.
$0 + 1x^2 + 3x$

$x^2 + 3x$

1. $2(3x-2)$

This is $2$ groups of $(3x − 2)$. Visualize what that would look like with tiles.

Use the eTool below for help with this problem.
Click the link at right for the full version of the eTool: MC2 6-124 HW eTool