Answer:
Coefficients: 6, 1, -2
Variables: x, y
Constants: 32
Step-by-step explanation:
Before identifying the coefficients, variables, and constants of the given algebraic expression, 6x + y + 32 - 2x, we must first define the required vocabulary terms.
Definitions:
- A term is a number (or constant ), a variable, or a product or quotient of a number and one or more variables raised to powers.
- A term may comprise of a numerical coefficient (or simply referred to as coefficient) that is multiplied with a variable—a symbol or a letter that is used to represent an unknown number.
- A constant is a fixed, unchanging number.
Explanations:
6x + y + 32 - 2x
In the folllowing terms:
- 6x: The coefficient is 6, multiplied with the variable, x.
- y: The coefficient is 1, multiplied with the variable, y.
- 32: This is a constant, as its value does not change.
- -2x: The coefficient is -2, multiplied with the variable, x.
Answers:
Coefficients: 6, 1, -2
Variables: x, y
Constants: 32