Algebra 1

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

Chapter 2 - Solving Equations - Concept Byte - Page 80: 7

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 will include 1 yellow tile. Each yellow tile represents +1, so adding 1 is represented by 1 yellow tile. - 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 "-3". - A red tile represents -1, so -3 is represented by 3 red tiles. Use the addition property of equality to add 1 red tile on both sides of the line. Remove the zero pairs. 1+x=-3⟶ subtract 1 from both sides 1+x−1=-3−1⟶ subtract x=-4
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