Algebra 1

Published by Prentice Hall

Chapter 2 - Solving Equations - Concept Byte - Page 80: 5

Answer

$x=4$

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 $x+1$. - 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 1 yellow tile. Each yellow tile represents +1, so adding 1 is represented by 1 yellow tile. The right side of the equation is "5". - A yellow tile represents +1, so 5 is represented by 5 yellow tiles. Use the addition property of equality to add 1 red tile on both sides of the line. Remove the zero pairs. $x+1=5\longrightarrow$ subtract 1 from both sides $x+1-1=5-1\longrightarrow$ subtract $x=4$

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