1. The problem asks which equation matches the algebra tile diagram. 2. The diagram represents the product of two binomials: one with terms $-x$ and $3$, and the other with terms $2x$ and $-1$. 3. We will expand the expression $(-x + 3)(2x - 1)$ using the distributive property (FOIL method): $$(-x + 3)(2x - 1) = (-x)(2x) + (-x)(-1) + 3(2x) + 3(-1)$$ 4. Calculate each term: $$(-x)(2x) = -2x^2$$ $$(-x)(-1) = +x$$ $$3(2x) = 6x$$ $$3(-1) = -3$$ 5. Combine like terms: $$-2x^2 + x + 6x - 3 = -2x^2 + 7x - 3$$ 6. Therefore, the expanded form is: $$(-x + 3)(2x - 1) = -2x^2 + 7x - 3$$ 7. Comparing with the options, the correct equation is: $$(-x + 3)(2x - 1) = -2x^2 + 7x - 3$$ 8. The other options do not match this expansion. Final answer: $$(-x + 3)(2x - 1) = -2x^2 + 7x - 3$$