Sure! Here are 20 questions focused on solving different types of equations:

1. Solve the linear equation: \(2x + 5 = 11\).
2. Solve the quadratic equation: \(x^2 - 4x + 4 = 0\).
3. Solve the cubic equation: \(x^3 + 3x^2 - 4x - 12 = 0\).
4. Solve the quartic equation: \(x^4 - 2x^3 + x^2 - 2x + 1 = 0\).
5. Solve the equation with fractional exponents: \(x^{3/2} = 8\).
6. Solve the exponential equation: \(2^x = 16\).
7. Solve the logarithmic equation: \(\log(x) + \log(2) = 1\).
8. Solve the trigonometric equation: \(\sin(x) = \frac{1}{2}\).
9. Solve the system of equations: \(\begin{cases} 2x + y = 5 \\ 3x - y = 4 \end{cases}\).
10. Solve the system of equations: \(\begin{cases} x^2 + y^2 = 25 \\ x + y = 5 \end{cases}\).
11. Solve the equation involving an absolute value: \(|2x - 3| = 7\).
12. Solve the polynomial equation: \(x^4 - 5x^2 + 4 = 0\).
13. Solve the radical equation: \(\sqrt{x + 5} - 3 = 0\).
14. Solve the rational equation: \(\frac{x}{x-1} = 3\).
15. Solve the inequality: \(2x + 3 > 5\).
16. Solve the system of inequalities: \(\begin{cases} x - y \leq 3 \\ 2x + y \geq 1 \end{cases}\).
17. Solve the quadratic equation using the quadratic formula: \(x^2 - 6x + 9 = 0\).
18. Solve the equation with complex numbers: \(z^2 + 1 = 0\).
19. Solve the exponential equation: \(e^x = 5\).
20. Solve the trigonometric equation: \(\tan(x) = 1\).

Would you like explanations or solutions for any of these questions?

Here are 5 questions you might want to ask next:
1. Can you explain how to solve quadratic equations using the quadratic formula?
2. How do you solve a system of linear equations using matrix methods?
3. What are the steps to solve equations involving absolute values?
4. How do you solve logarithmic equations?
5. Can you demonstrate solving trigonometric equations?

**Tip:** Practice solving different types of equations regularly to improve your problem-solving skills and understanding of various mathematical concepts.

Explore 20 questions covering a variety of equation types, including linear, quadratic, cubic, quartic, exponential, logarithmic, trigonometric, system of equations, absolute value, polynomial, radical, rational, inequality, and complex number equations. Each question comes with detailed solutions and explanations to help improve problem-solving skills in algebra and beyond.

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