Algebra

Combining Unlike Terms

Students add or subtract terms just because they are next to each other, like changing 3x+4y3x + 4y into 7xy7xy.

Quick check

Why students make it

Students see the numbers 33 and 44 and want to combine them first. They overlook that xx and yy are different variable parts, so the terms do not represent the same kind of quantity.

The rule done right

Only like terms can be combined. Like terms have exactly the same variable part with the same exponents, such as 3x3x and 5x5x, but 3x3x and 3x23x^2 are not like terms.