Algebra 1

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

Chapter 2 - Solving Equations - Concept Byte: 4



Work Step by Step

Each side of the diagram represents one side of the equation. The bar separating the two sides represents the equal sign. The left side of the equation is $x-4$. - A green tile represents a variable such as x. The left side of the diagram will include one green tile since the implied coefficient of x is 1. - The left side will also include 4 red tiles. Each red tile represents -1, so subtracting 4 is represented by 4 red tiles. The right side of the equation is "7". - A yellow tile represents +1, so 7 is represented by 7 yellow tiles. Use the addition property of equality to add 4 yellow tiles on both sides of the line. Remove the zero pairs. $x-4=7\longrightarrow$ add 4 to both sides $x-4+4=7+4\longrightarrow$ add $x=11$
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