The Real and Complex Number Systems - MAP 6th Grade Math
Card 0 of 12
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?
Candidate A receives
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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.
We know that candidate B received 
votes. Write a new ratio.
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.
In order to solve this problem we need to create a ratio with the given information. It says that for every
Now substitute in the given numbers.
We know that candidate B received
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.
Use the distributive property to express the sum 
as the multiple of a sum of two whole numbers with no common factor.
Use the distributive property to express the sum
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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:
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:
Which value for 
would make the inequality below true?
Which value for
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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.
We can use substitution to determine which value of
Because we are looking for a value of
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?
Candidate A receives
Tap to see back →
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.
We know that candidate B received votes. Write a new ratio.
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.
In order to solve this problem we need to create a ratio with the given information. It says that for every
Now substitute in the given numbers.
We know that candidate B received
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.
Use the distributive property to express the sum as the multiple of a sum of two whole numbers with no common factor.
Use the distributive property to express the sum
Tap to see back →
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:
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:
Which value for would make the inequality below true?
Which value for
Tap to see back →
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.
We can use substitution to determine which value of
Because we are looking for a value of
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?
Candidate A receives
Tap to see back →
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.
We know that candidate B received votes. Write a new ratio.
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.
In order to solve this problem we need to create a ratio with the given information. It says that for every
Now substitute in the given numbers.
We know that candidate B received
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.
Use the distributive property to express the sum as the multiple of a sum of two whole numbers with no common factor.
Use the distributive property to express the sum
Tap to see back →
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:
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:
Which value for would make the inequality below true?
Which value for
Tap to see back →
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.
We can use substitution to determine which value of
Because we are looking for a value of
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?
Candidate A receives
Tap to see back →
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.
We know that candidate B received votes. Write a new ratio.
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.
In order to solve this problem we need to create a ratio with the given information. It says that for every
Now substitute in the given numbers.
We know that candidate B received
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.
Use the distributive property to express the sum as the multiple of a sum of two whole numbers with no common factor.
Use the distributive property to express the sum
Tap to see back →
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:
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:
Which value for would make the inequality below true?
Which value for
Tap to see back →
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.
We can use substitution to determine which value of
Because we are looking for a value of