**1. Wh****y are equations so important in mathematics?**

Most word problems in mathematics can be written as an equation. Solving these equations will then help to solve the problem.

**2. Why do I need to solve an equation using mathematics when I can guess the answer?**

It is easy to "guess" the answer to a simple equation such as

x + 4 = 6.However, an equation such as

3xis more difficult and requires mathematical methods.^{3}+ 4x^{2}− 2x − 1 = 0

**3. Can an equation have more than one answer?**

Yes there are equations that have two, three, four or more answers. There are even equations that have an infinite number of solutions.

**4. ****Is it possible for an equation to have no solutions?**

Yes, an equation such as

x + 3 = xhas no solutions. There is no value that x can have which makes the equation "true". Try to find one, if you don't believe it!