Chapter 7.2, Problem 16IP

To determine

The terms, like terms, coefficients, and constants

Answer to Problem 16IP

The terms, like terms, coefficients, and constant are

  $\begin{array}{c}\text{Terms}=4m,3,m,1\\ \text{Like}\text{terms}=4m\text{and}m\\ \text{coefficients}=1,3,4\\ \text{Constants}=3\text{and}1\end{array}$

Explanation of Solution

Given information:

The expression $4m+3+m+1$

Concept Used:

• Like terms are the terms that contain the same variable with similar exponents on it. Constants are like terms as well.
• In any expression, terms are separated by plus or minus signs.
• Coefficients are the constants in front of the variable terms.

Calculation:

In order to the terms, like terms, coefficients, and constants in expressions $-2a+3a+5b$ as below:

  $\begin{array}{c}4m+3+m+1\\ \text{Terms}=4m,3,m,1\\ \text{Like}\text{terms}=4m\text{and}m\\ \text{coefficients}=1,3,4\\ \text{Constants}=3\text{and}1\end{array}$

Thus, the terms, like terms, coefficients, and constant are

  $\begin{array}{c}\text{Terms}=4m,3,m,1\\ \text{Like}\text{terms}=4m\text{and}m\\ \text{coefficients}=1,3,4\\ \text{Constants}=3\text{and}1\end{array}$