1)) Use algebra tiles to find \( \left(-7 x^{2}-5 x\right)+\left(-2 x^{2}-9 x+7\right) \)

To find \( \left(-7 x^{2}-5 x\right)+\left(-2 x^{2}-9 x+7\right) \) using algebra tiles, you would represent the terms with different tiles: negative \(x^2\) tiles for the \(x^2\) terms, negative \(x\) tiles for the \(x\) terms, and small square tiles for the constant. Start by laying out 7 negative \(x^2\) tiles and 2 negative \(x^2\) tiles, then place 5 negative \(x\) tiles and 9 negative \(x\) tiles, and finally add 7 positive tiles representing the constant. Combine like terms: The total becomes -9 \(x^2\), -14 \(x\), and +7. After simplifying, you'll have the expression: \( -9x^2 - 14x + 7 \). Just imagine! It’s like sorting out different colored Lego blocks: negatives on one side and positives on the other until they fit together perfectly!