Chapter 7.2, Problem 1GP

To determine

The terms, like terms, coefficients, and constants

Answer to Problem 1GP

The terms, like terms, coefficients, and constant are

  $\begin{array}{c}\text{Terms}=-2a,3a,5b\\ \text{Like}\text{terms}=-2a\text{and}3a\\ \text{coefficients}=-2,3,5\\ \text{Constants}=\text{Null}\end{array}$

Explanation of Solution

Given information:

The expression $-2a+3a+5b$

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:

  $\begin{array}{c}-2a+3a+5b\\ \text{Terms}=-2a,3a,5b\\ \text{Like}\text{terms}=-2a\text{and}3a\\ \text{coefficients}=-2,3,5\\ \text{Constants}=\text{Null}\end{array}$

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

  $\begin{array}{c}\text{Terms}=-2a,3a,5b\\ \text{Like}\text{terms}=-2a\text{and}3a\\ \text{coefficients}=-2,3,5\\ \text{Constants}=\text{Null}\end{array}$