### Home > INT1 > Chapter A > Lesson A.1.2 > ProblemA-21

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.

1. $2x − 3x − 3 + 4x^{2} + 10 + x$

$4x^{2} + (2x − 3x + x) + (10 − 3)$

$4x^{2} + 7$

1. $−4x + y^{2} − 9 + 10 − x + 3x − 4y^{2}$

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.

1. $2x^{2} + 30y + 3x^{2} + 4x^{2} − y − x$

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.

1. $0 − 20 − 5xy + 4y^{2} + 10 − y + xy$

Follow the steps outlined in part (a) and the hints from parts (b) and (c).

$4y^{2} − 4xy − y − 10$