## Algebra 1

Published by Prentice Hall

# Chapter 2 - Solving Equations - Concept Byte - Page 80: 10

#### 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 -4+x. - The left side will include 4 red tiles. Each red tile represents -1, so subtracting 4 is represented by 4 red tiles. - A green tile represents a variable such as x. The left side of the diagram will also include one green tile since the implied coefficient of x is 1. The right side of the equation is "-8". - A red tile represents -1, so -8 is represented by 8 red tiles. Use the addition property of equality to add 4 yellow tiles on both sides of the line. Remove the zero pairs. $-4+x=-8\longrightarrow$ add 4 to both sides $-4+x+4=-8+4\longrightarrow$ add $x=-4$

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