Notes 0.3 Algebra 1: Combine Like Terms/Equations

Vocabulary and concepts regarding algebraic expressions, coefficients, constants, and the rules for identifying like and unlike terms.

Terms

The parts of an expression that are added or subtracted together.

Coefficient

The number located in front of a variable.

Constant Term

A number in an expression that does not have a variable.

Like Terms

Terms that have identical variable parts, meaning they must have the SAME VARIABLE and the SAME EXPONENT.

Examples of Like Terms

Groups such as ($x$, $3x$, $-5x$, $\frac{x}{5}$), ($y^2$, $2y^2$, $-7y^2$, $-3y^2$), and ($ab$, $5ab$, $-2ab$, $\frac{ab}{8}$).

Examples of Unlike Terms

Pairs such as ($x$ and $x^2$), ($y$ and $y^2$), ($x$ and $3$), ($z$ and $\sqrt{z}$), or ($x$ and $y$).

Expression Example: $7x^3 - 2x^2 + 5y - z + 5$

An expression containing $5$ terms, including coefficients like $7$ and $-2$, and a constant term of $5$.