Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.4 - Basic Rules of Algebra - Exercise Set - Page 53: 4

Answer

a. $\quad 3$ b. $\quad 1$ c. $\quad 6$ d. $\quad$ There are like terms: $ x$ and $7x$.

Work Step by Step

a. The terms of an algebraic expressions are those parts separated by addition. It can be a number, a variable, or a number times one or more variables. In $ x+6+7x$, three terms are separated by addition b. The numerical part of a term is called its coefficient. If a term is written without a coefficient, the coefficient is understood to be 1 The numerical coefficient of $x$ is 1. c. A term that consists of just a number is called a constant term. In $x+6+7x$, the constant term is $6$. d. The parts of each term that are multiplied are called the factors of the term Like terms are terms that have exactly the same variable factors. Terms $x$ and $7x$ have identical variable factors.
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