Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-1 Solving One-Step Equations - Practice and Problem-Solving Exercises: 63

Answer

m=.8

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 2x=10, x is the variable). Because multiplication and division are inverse operations (they cancel each other out), we know we must divide when a number is being multiplied by the variable and multiply when the variable is being divided by a number. In the equation 1.6m=1.28, we must get rid of the 1.6, which the variable is being multiplied by, in order to solve. Thus, we divide both sides by 1.6 to find that m=.8. When we plug .8 into the original equation and simplify, we get that 1.28=1.28, so the solution is correct.
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