Algebra 1: Common Core (15th Edition)

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

Chapter 1 - Foundations for Algebra - 1-8 An Introduction to Equations - Practice and Problem-Solving Exercises: 55

Answer

n=3$\frac{5}{6}$. This is between the integers 3 and 4.

Work Step by Step

In order to solve this algebraic expression, we must isolate the variable. A variable is the letter in the problem (for instance, in the equation x+2=10, x is the variable). Because addition and subtraction are inverse operations (they cancel each other out), we know we must add when a number is being subtracted from the variable and subtract when a number is being added to the variable. In the equation 10.5=3n-1, we must get rid of the 1, which is on the same side as n, in order to solve. Thus, we add 1 on both sides of the equation to find that 3n=11.5. We then divide by 3 to find that n equals 3$\frac{5}{6}$. When we are using mental math, we can estimate, allowing us to determine that the value is between 3 and 4.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.