## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 1 - Foundations for Algebra - 1-8 An Introduction to Equations - Practice and Problem-Solving Exercises - Page 57: 54

#### Answer

m=2; this is not between consecutive integers.

#### 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 4m+1=9, we must get rid of the 1, which is on the same side as m, in order to solve. Thus, we subtract 1 on both sides of the equation to find that 4m=8. We now divide by 4 on both sides to find that m equals 2.

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