## Algebra 1

$-2\gt x$
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 $-9$. - The left side will include 9 red tiles. Each red tile represents -1, so -9 is represented by 9 red tiles. The right side of the equation is "4x-1". - A green tile represents a variable such as x. The left side of the diagram will include 4 green tiles since the coefficient of x is 4. - The right side will include 1 red tile. Each red tile represents -1, so subtracting 1 is represented by 1 red tile. The steps to solve the equation algebraically mirror the steps using the tiles. $-9\gt4x-1\longrightarrow$ add 1 to both sides (1 yellow tile) $-9+1\gt4x-1+1\longrightarrow$ add (remove the zero pairs) $-8\gt4x\longrightarrow$ divide both sides by 4 (identify identical groups) $-8\div4\gt4x\div4\longrightarrow$ divide (remove duplicate groups) $-2\gt x$