CPM Homework Help : MC2 Problem 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. .

$(–1) + 4x + 2 + 2x + x$
Hint (a):
Group like terms so that they can be combined.
$(4x + 2x + x) + (−1 + 2)$
Answer (a):
$7x + 1$

$–8x + 4 + (–3) + 10x$
Hint (b):
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?

$(–4) + 1x^2 + 3x + 4$
Step 1(c):
Group like terms.
$(−4 + 4) + 1x^2 + 3x$
Step 2(c):
Combine like terms.
$0 + 1x^2 + 3x$
Answer (c):
$x^2 + 3x$

$2(3x-2)$
Hint (d):
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