# MAP 6th Grade Math : The Real and Complex Number Systems

## Example Questions

### Example Question #1 : The Real And Complex Number Systems

Candidate A receives  votes for every  vote that candidate B receives. At the end of the election candidate B has  votes. How many votes did candidate A get?

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every  votes cast for candidate A, candidate B got  vote. We can write the following ratio.

Now substitute in the given numbers.

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

Cross multiply and solve for .

Simplify and solve.

### Example Question #2 : The Real And Complex Number Systems

Use the distributive property to express the sum  as the multiple of a sum of two whole numbers with no common factor.

Explanation:

The distributive property can be used to rewrite an expression. When we use this property we will identify and pull out the greatest common factor of each of the addends. Then we can create a quantity that represents the sum of two whole numbers with no common factor multiplied by their greatest common factor.

In this case, the greatest common factor shared by each number is:

After we reduce each addend by the greatest common factor we can rewrite the expression:

### Example Question #1 : The Real And Complex Number Systems

Which value for  would make the inequality below true?

All of the choices are correct

All of the choices are correct

Explanation:

We can use substitution to determine which value of  makes the inequality true.

Because we are looking for a value of  that makes the expression less than , all of our choices are correct.