1. Chapter 1 - Quadratic Functions: Solve the quadratic equation $$x^2 - 5x + 6 = 0$$ by factoring. 2. Chapter 2 - Nonlinear Functions: Sketch the graph of the piecewise function $$f(x) = \begin{cases} x^2 & \text{if } x < 0 \\ 2x + 1 & \text{if } x \geq 0 \end{cases}$$ and find its domain and range. 3. Chapter 3 - Polynomial Functions: Find the zeros and factors of the polynomial $$p(x) = x^3 - 4x^2 - 7x + 10$$. 4. Chapter 4 - Coordinate Geometry: Find the distance and midpoint between the points $$A(2,3)$$ and $$B(8,7)$$. 5. Solving Quadratic Equations: Solve $$2x^2 + 3x - 2 = 0$$ using the quadratic formula. 6. Discriminant: Find the discriminant of $$3x^2 - 4x + 1 = 0$$ and determine the nature of its roots. 7. Quadratic Application: A ball is thrown upward with height $$h(t) = -16t^2 + 64t + 80$$. Find the time when the ball hits the ground. 8. Operations with Imaginary Numbers: Simplify $$ (3 + 4i)(2 - 5i) $$. 9. Piecewise Functions: Define a piecewise function $$g(x)$$ such that $$g(x) = x + 2$$ for $$x < 1$$ and $$g(x) = x^2$$ for $$x \geq 1$$. Evaluate $$g(0)$$ and $$g(2)$$. 10. Graphs of Nonlinear Functions/Domain/Range: Determine the domain and range of $$y = \sqrt{4 - x^2}$$. 11. Properties of Exponents: Simplify $$\frac{2^{3} \cdot 2^{-5}}{2^{-2}}$$. 12. Polynomial Operations: Add $$ (3x^2 - 2x + 1) + (x^2 + 4x - 5) $$. 13. Long Division: Divide $$x^3 - 6x^2 + 11x - 6$$ by $$x - 2$$. 14. Find Zeros/Factors of Polynomial Functions (Synthetic Division): Use synthetic division to divide $$2x^3 - 3x^2 + 4x - 5$$ by $$x - 1$$. 15. Graphs of Polynomial Functions/End Behavior: Describe the end behavior of $$f(x) = -x^4 + 3x^2 - 1$$. 16. Midpoint Formula: Find the midpoint of the segment joining $$C(-1,4)$$ and $$D(5,-2)$$. 17. Writing Equations of Circles: Write the equation of a circle with center at $$(3,-2)$$ and radius $$5$$.