Algebra 1

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

Chapter 2 - Solving Equations - Concept Byte - Page 80: 6

Answer

3

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 yellow tiles. Each yellow tile represents +1, so adding 4 is represented by 4 yellow 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 red tiles to both sides of the line. Remove the resulting 4 zero pairs from each side. $x+4=7\longrightarrow$ subtract 4 from both sides $x+4-4=7-4\longrightarrow$ subtract $x=3$
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