## Algebra 1

$n\geq4$
Each side of the diagram represents one side of the equation. The bar separating the two sides represents the inequality sign. The left side of the equation is $2n-5$. - A green tile represents a variable such as n. The left side of the diagram will include two green tiles since the coefficient of n is 2. - The left side will also include 5 red tiles. Each red tile represents -1, so subtracting 5 is represented by 5 red tiles. The right side of the equation is "3." - A yellow tile represents +1, so 3 is represented by 3 yellow tiles. The steps to solve the equation algebraically mirror the steps using the tiles. $2n-5\geq3\longrightarrow$ add 5 to both sides (5 yellow tiles) $2n-5+5\geq3+5\longrightarrow$ add (remove the zero pairs) $2n\geq 8\longrightarrow$ divide both sides by 2 (identify identical groups) $2n\div2\geq8\div2\longrightarrow$ divide (remove duplicate groups) $n\geq4$