## Algebra 1

$3x+5 > -4$ $x > -3$
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 3x+5. - Green tiles represent the variable, such as x. The left side of the diagram includes three green tiles since the coefficient of x is 3. - The left side will also include 5 yellow tiles. Each yellow tile represents 1, so adding 5 is represented by 5 yellow tiles. The right side of the equation is -4. - A red tile represents -1, so 4 is represented by 4 red tiles. The steps to solve the equation algebraically mimic the steps using the tiles. $3x+5\gt-4$ (starting inequality) $3x+5 (-5) \gt -4 (-5)$ (subtract 5 from both sides, 5 red tiles) $3x \gt -9$ (removing zero pairs) $\frac{3x}{3} \gt \frac{-9}{3}$ (dividing both sides by 3, find identical groups and remove identical groups) $x \gt -3$