### Home > CC2 > Chapter 7 > Lesson 7.1.3 > Problem7-34

7-34.

Copy and simplify the following expressions by combining like terms, making zeros, and using the Distributive Property. Using algebra tiles may be helpful.  7-34 HW eTool (CPM).  Homework Help ✎

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

Group similar terms together in order to combine like terms.
$(4x+2x+x)+(-1+2)$

$7x+1$

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 similar terms together and make zeros.
$(-4+4)+1x^2+3x$

Now the fours make a zero.
$0+1x^2+3x$

$x^2+3x$

1. $2(3x-2)$

Distribute the $2$ on the outside to each of the terms inside the parentheses.
$2(3x)-2(2)$

Simplify.

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