1. The user asks for examples for each, but the question is ambiguous without specifying what "each" refers to. 2. Since no specific topic or category is given, I will provide examples for common algebraic concepts: linear equation, quadratic equation, and exponential function. 3. Example of a linear equation: $y = 2x + 3$ 4. Example of a quadratic equation: $y = x^2 - 4x + 4$ 5. Example of an exponential function: $y = 3^x$ 6. These examples illustrate different types of functions commonly studied in algebra.