CPM Homework Help : CC2MN Problem 8-34

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 similar terms together in order to combine like terms.
$(4x+2x+x)+(-1+2)$
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 similar terms together and make zeros.
$(-4+4)+1x^2+3x$
Step 2 (c):
Now the fours make a zero.
$0+1x^2+3x$
Answer (c):
$x^2+3x$

$2(3x-2)$
Step 1 (d):
Distribute the $2$ on the outside to each of the terms inside the parentheses.
$2(3x)-2(2)$
Step 2 (d):
Simplify.

Use the eTool below for help with this problem.
Click the link at right for the full version of the eTool: 8-34 HW eTool