Algebra 1

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

Chapter 2 - Solving Equations - Concept Byte - Modeling Equations with Variables on Both Sides: 2

Answer

$5x+2=2x+5$ $5x-2x= $3x $5-2= $3 $3x=$3 $3x/(3)=$3/(30 x=$1

Work Step by Step

The two sides of the tile board represent the two sides of an equation. The bar between the two sides represents the equal sign. The left side of the diagram includes 5 green tiles. Each green tile represents a variable such as x. The left side also includes 2 yellow tiles. Each yellow tile represents +1. The left side of the tile board translates to $5x+2$. The right side of the diagram includes 2 green tiles. Each green tile represents a variable such as x. The right side also includes 5 yellow tiles. Each yellow tile represents +1. The right side of the tile board translates to $2x+5$.
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