CPM Homework Help : INT1 Problem A-31

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A-31.

Simplify the following expressions by combining like terms, if possible. Algebra tiles may be helpful.

$x + x − 3 + 4x^{2} + 2x − x$

Step 1 (a):
Rearrange and put like terms together.
$x+x+2x-x-3-4x^2\\ \searrow \ \downarrow \ \swarrow \swarrow\\ \quad \quad 3x-3+4x^2$
Step 2 (a):
Organize the terms from the greatest to the smallest power.
Answer (a):
$4x² + 3x − 3$

$8x^{2} + 3x − 13x^{2} + 10x^{2} − 25x − x$
Hint (b):
Follow the steps in part (a).
Answer (b):
$5x² − 23x$

$4x + 3y$
Hint (c):
Are there any like terms to combine?

$20 + 3xy − 3 + 4y^{2} + 10 − 2y^{2}$
Hint (d):
Follow the steps in part (a).

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