CPM Homework Help : INT1 Problem A-21

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A-21.

For each expression below, first indicate how many terms it contains. Then copy and simplify each expression by combining like terms. Algebra tiles may be helpful.

$2x − 3x − 3 + 4x^{2} + 10 + x$
Step 1(a):
Add like terms.
$4x^{2} + (2x − 3x + x) + (10 − 3)$
Answer (a):
$4x^{2} + 7$

$−4x + y^{2} − 9 + 10 − x + 3x − 4y^{2}$
Hint (b):
It may helpful to rearrange the terms so that all like terms are next to one another before simplifying.
Remember to double-check your work.

$2x^{2} + 30y + 3x^{2} + 4x^{2} − y − x$
Hint (c):
Try thinking of these as algebra tiles.
Can you combine x²-tiles with x-tiles or unit tiles?
If it helps you, you can use algebra tiles to help you solve this problem.

$0 − 20 − 5xy + 4y^{2} + 10 − y + xy$
Hint (d):
Follow the steps outlined in part (a) and the hints from parts (b) and (c).
Answer (d):
$4y^{2} − 4xy − y − 10$

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