Chapter 7.2, Problem 2GP

To determine

The terms, like terms, coefficients, and constants

Answer to Problem 2GP

The terms, like terms, coefficients, and constant are

  $\begin{array}{c}\text{Terms}=-2x,3x,4,4x\\ \text{Like}\text{terms}=2x,3x\text{and}4x\\ \text{coefficients}=2,3,4\\ \text{Constants}=4\end{array}$

Explanation of Solution

Given information:

The expression $2x+3x+4+4x$

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:

  $\begin{array}{c}2x+3x+4+4x\\ \text{Terms}=-2x,3x,4,4x\\ \text{Like}\text{terms}=2x,3x\text{and}4x\\ \text{coefficients}=2,3,4\\ \text{Constants}=4\end{array}$

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

  $\begin{array}{c}\text{Terms}=-2x,3x,4,4x\\ \text{Like}\text{terms}=2x,3x\text{and}4x\\ \text{coefficients}=2,3,4\\ \text{Constants}=4\end{array}$