Write an equivalent equation.

Answer 1

3(x - 2) = 3x - 6 It is true for all values of x, and this is called an identity. If it is true only for some values it is called a conditional equation; for example x^2 - 2x - 3 = 0 is only true when x = -1 or x = 3, which are known as the roots of equation.

Answer 2

Here are 5 more problems involving permutations:

1. A teacher wants to assign 4 different tasks to her 4 students. In how many possible ways can she do it?

2. In a certain general assembly, three major prizes are at stake. In how many ways can the first, second, and third prizes be drawn from a box containing 120 names?

3. In how many different ways can 5 bicycles be parked if there are 7 available parking spaces?

4. How many distinguishable permutations are possible with all the letters of the word "ELLIPSES"?

5. There are 8 Basketball teams competing for the top 4 standings in order to move up to the semi-finals. Find the number of possible rankings of the four top teams.