Identifying Terms and Coefficients
In an algebraic expression, terms are the individual parts separated by addition or subtraction signs. In 3x + 5y - 2, the terms are 3x, 5y, and -2. The coefficient is the numerical factor of a variable term: the coefficient of 3x is 3, and the coefficient of 5y is 5. A term with no variable (like -2) is called a constant. This 6th grade algebra vocabulary skill from enVision Mathematics Grade 6 establishes the language of algebra that students will use throughout middle and high school mathematics.
Key Concepts
In an algebraic expression, terms are the parts separated by addition or subtraction signs. The coefficient is the numerical factor of a term that contains a variable. A term without a variable is called a constant .
Common Questions
What is a term in an algebraic expression?
A term is a single number, variable, or product of numbers and variables. In 3x + 5y - 2, there are three terms: 3x, 5y, and -2. Terms are separated by addition or subtraction.
What is a coefficient?
A coefficient is the numerical factor that multiplies a variable in a term. In 3x, the coefficient is 3. In -7y, the coefficient is -7.
What is a constant term?
A constant term is a term with no variable. Its value does not change. In 3x + 5y - 2, the constant term is -2.
What grade identifies terms and coefficients?
Identifying terms and coefficients is a 6th grade algebra vocabulary skill in enVision Mathematics Grade 6, building the language needed to describe and simplify algebraic expressions.
What is the coefficient of a variable with no number written?
If no number is written, the coefficient is 1 (or -1 if the variable has a negative sign). In x, the coefficient is 1; in -y, the coefficient is -1.
How does identifying terms help simplify expressions?
Only like terms (same variable and exponent) can be combined. Identifying all terms first lets you group them correctly before adding or subtracting.