Here are some equation-based math problems for practice across different topics:

### 1. Linear Equations
Solve for \( x \):
\[
3x - 5 = 16
\]

### 2. Quadratic Equation
Solve the following quadratic equation:
\[
x^2 - 4x - 12 = 0
\]

### 3. System of Equations
Solve the system of equations for \( x \) and \( y \):
\[
2x + 3y = 12
\]
\[
x - y = 3
\]

### 4. Exponential Equation
Solve for \( x \):
\[
5^x = 125
\]

### 5. Rational Equation
Solve for \( x \):
\[
\frac{2x + 3}{x - 1} = 4
\]

Would you like detailed solutions for any of these problems or have questions about them?

Here are five related questions:
1. How do you solve a system of linear equations using substitution?
2. What is the quadratic formula and when is it used?
3. How can you simplify an equation with exponents?
4. What is the difference between solving linear and quadratic equations?
5. How do you solve rational equations involving multiple variables?

**Tip:** Always check your solution by plugging the value(s) back into the original equation!

Explore a range of equation math problems, including linear equations, quadratic equations, systems of equations, exponential equations, and rational equations. Get practice solving these problems with step-by-step explanations. Suitable for students in Grades 8-10.

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