Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-4 Solving Equations With Variables on Both Sides - Practice and Problem-Solving Exercises - Page 108: 49

Answer

a. always true b. sometimes true c. sometimes true

Work Step by Step

a. When you +1 to anything, it will never equal itself. For example, if you're adding ax + 1 it will not equal ax. b. The definition of a variable is a symbol, usually a letter, that represents one or more numbers. In this case, the answer is sometimes true, because a variable can represent one or more numbers. c. If in the process of solving the equation, the variable disappears and you end up with a true statement, the equation has infinitely many solutions.
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