Question

Identify the term, coefficient, constant, variable, and like terms in the equation: 3m - 2n + 5 + 6m = 7n

A) Term: 3m; Coefficient: 3; Constant: 5; Variable: m; Like Terms: 3m and 6m
B) Term: -2n; Coefficient: -2; Constant: 5; Variable: n; Like Terms: -2n and 7n
C) Term: 5; Coefficient: 5; Constant: 5; Variable: None; Like Terms: None
D) Term: 7n; Coefficient: 7; Constant: None; Variable: n; Like Terms: 7n and -2n

Answer 1

The identification of the terms, coefficients, constants, variables, and like terms in the given equation is: Term: 7n; Coefficient: 7; Constant: None; Variable: n; Like Terms: 7n and -2n. Thus the correct option is option (D).

Step-by-step explanation:

In the given equation, 3m - 2n + 5 + 6m = 7n, each part plays a specific role. Let's break it down:

Term: Each part of the equation separated by addition or subtraction is a term. For instance, 3m,-2n, 5, and 6m are terms.

Coefficient: The coefficient is the numerical factor of a term. In 3m, the coefficient is 3, and in -2n, the coefficient is -2.

Constant: A constant is a term without a variable. In this case, 5 is a constant.

Variable: Variables are the letters used to represent unknown or varying quantities. In 3m and 6m, 'm' is the variable, while 'n' is another variable in -2n and 7n.

Like Terms: Like terms have the same variables raised to the same powers. In this equation, 7n and -2n are like terms because they both have the variable 'n.'

To summarize, the correct identification is D) Term: 7n; Coefficient: 7; Constant: None; Variable: n; Like Terms: 7n and -2n.