Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

varsity tutors app store varsity tutors android store

Example Questions

Example Question #17 : Mean

If the average of  numbers is  and the average of  numbers is , what was the number added to increase the average?

Possible Answers:

Correct answer:

Explanation:

If the average of  numbers is , then the sum is .

We also know the average of  numbers is . We can set-up an equation. 

.

The expression in the numerator represents the sum. By cross-multiplying, we get 

 or  as the final answer. 

Example Question #12 : Basic Statistics

If the average of  numbers is  and the average of  numbers is , what is the average of all the numbers?

Possible Answers:

Correct answer:

Explanation:

To find the average of all the numbers, we need to find the sums from each average. Since the average of  numbers is , that means the sum is .

The average of  numbers is  means the sum is .

Then, the total sum is  which is the sum of all the numbers.

So to find average, we do  divided by  to get 

Example Question #44 : Statistics And Probability

If the average of  numbers is  and one of the number was  what was the other number?

Possible Answers:

Correct answer:

Explanation:

We know the average of the  numbers is . We can set-up an equation as 

.

When we cross-multiply, we get .

We know one of the value which is . Let's say that's .

So .

Then  is 

Example Question #1471 : Algebra 1

If the average of  numbers is  and one of the number is  what is the other number?

Possible Answers:

Correct answer:

Explanation:

We know the average of the  numbers is . We can set-up an equation as 

.

When we cross-multiply, we get .

We know one of the value which is . Let's say that's .

So .

Then  is 

Example Question #46 : Statistics And Probability

If the average of  numbers is  and the sum of two numbers is , what is the third number?

Possible Answers:

Correct answer:

Explanation:

If the average of  numbers is , the sum of the three numbers is . We can set-up an equation of 

.

We know the sum of two numbers is .

So then we can write .

Then  and is the final answer. 

Example Question #51 : Statistics And Probability

If the average of  numbers is  and the average of  numbers is , what is the average of the other  numbers?

Possible Answers:

Correct answer:

Explanation:

If the average of  numbers is , the sum becomes .

If the average of the  numbers is , then the sum is .

This makes the sum of the other two numbers to be .

Then the average of those two numbers is 

Example Question #52 : Statistics And Probability

If the average of  numbers is  and the average of  numbers is , what is the sum of the other numbers?

Possible Answers:

Correct answer:

Explanation:

If the average of  numbers is , the sum becomes .

If the average of the  numbers is , then the sum is .

This makes the sum of the other three numbers to be 

Example Question #1472 : Algebra 1

What is the average angle of a square?

Possible Answers:

Correct answer:

Explanation:

The total degree of a square is .

Since a square has four angles, we divide  and  to get 

Example Question #52 : Statistics And Probability

If Joe took three exams and scored , what must he score on the final exam to get an average of ?

Possible Answers:

Correct answer:

Explanation:

We need an average of  for four exams.

That means the sum of his exams must be  or .

We know the sum of his three exams which is .

The difference is 

Example Question #1473 : Algebra 1

What is the average of the first four prime numbers?

Possible Answers:

Correct answer:

Explanation:

The first four prime numbers are .

The sum is .

Since there are four numbers, the average is 

Learning Tools by Varsity Tutors