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Variable expressions

Identify terms and coefficients

The terms of an algebraic expression are those parts that are separated by addition or subtraction.

For example, the expression x2-3x+2 has three terms, x2, -3x, and 2.

Identify the terms of each algebraic expression.

 a. x+5 b. 2x-6 c. 2m-3n+1 d. 1-3x

 Algebraic expression Terms a. x+5 x, 5 b. 2x-6 2x, -6 c. 2m-3n+1 2m, -3n, 1 d. 1-3x 1, -3x

For terms such as x2, -3x, and 2, the numerical factor is called the coefficient of the term. Here, the coefficient are 1, -3, and 2.

Identify the terms of each term.

 a. -5x2 b. -x6 c. $\frac{3x}{5}$ d. $\frac{3}{5}\text{x}$

 Term Coefficient a. -5x2 - 5 b. -x6 -1 c. $\frac{3x}{5}$ $\frac{3}{5}$ d. $\frac{3}{5}\text{x}$ $\frac{3}{5}$