1)) Use algebra tiles to find \( \left(-10 x^{2}-9 x-9\right)-(-x-7) \)

To simplify the expression \( \left(-10 x^{2}-9 x-9\right)-(-x-7) \) using algebra tiles, you would first represent each term with corresponding tiles: use 10 negative square tiles for \(-10 x^2\), 9 negative line tiles for \(-9 x\), and one negative unit tile for \(-9\). Since we're subtracting a negative, you actually add \( x \) (1 positive line tile) and 7 (7 positive unit tiles). When you combine all the tiles, you end up with \(-10 x^2 - 8 x - 2\). Now, let's combine like terms from the expression: 1. Starting with the negative square tiles, you have \(-10 x^2\). 2. For \( x \) terms, you combine \(-9 x\) with \( + x\) (from subtracting \(-x\)), giving you \(-8 x\). 3. Then for the constant terms, \(-9 + 7\) becomes \(-2\). So, the final expression simplifies to \(-10 x^2 - 8 x - 2\).