All Basic Arithmetic Resources
Example Questions
Example Question #271 : Basic Arithmetic
Solve for :
When we are solving equations, we must always remember that what's on the left side equals the right side. Therefore, any changes that we make to one side of the equation, we must make to the other side so that the equation stays equal and balanced. When solving single-variable equations, we try to isolate the variable on one side so that we can get a number which it's equal to on the other side. Therefore, everything we do to solve this equation must work towards getting just the variable on one side, and a number on the other side. Let's take a look at our equation again:
We want to isolate our term on the left-hand side, so our first step is to get rid of the . To do that, we can perform the inverse operation; we can subtract from both sides:
Now we have our on one side and a number on the other, but we need to see what one is equal to, not . We therefore need to multiply by a number which will make it just . You might remember from fractions that multiplying a fraction by its reciprocal will give you , so let's try multiplying each side by the reciprocal of , which is :
We have one on the left side and a number on the right side, therefore our final answer is
Example Question #1 : Mean
For her calculus class, Marie has scored , , and on three of her tests so far. What is the minimum score Marie needs to receive on her 4th test in order to have an average of ?
To find the average of a set of numbers, add up the individual values and divide by the total number of values you have.
For the test scores, we can set up the following equation with x being the score on the fourth test:
Now, solve for x
Example Question #1 : Basic Statistics
Find the mean of the following set of numbers:
To find the mean of a set of numbers, you must add them all and then divide their sum by the number of total members of the set.
and there are numbers in the set, so we divide by ,
giving us a mean of .
Example Question #2 : Basic Statistics
Jimmy's dog had 6 puppies. He weighed the puppies right after they were born. Their weights were 657 grams, 789 grams, 456 grams, 554 grams, 635 grams, and 446 grams. In grams, what was the mean weight of the puppies?
The mean of a set of numbers is the same as its average.
So then, to find the mean weight for the puppies,
Example Question #3 : Basic Statistics
Danielle tracked how much she paid per meal for the past five meals. She paid . What was the average she paid per meal?
To find the average (also known as the mean), we use the following formula:
So, for the numbers that are given in the question, we can set up this equation:
Example Question #4 : Basic Statistics
Judy received these scores on her last four math tests:
, , ,
Her teacher calculates the final grade from the mean of five tests, which are all weighted equally. If Judy gets a on her fifth test, what will be her overall grade in the class?
To find Judy's overall grade, you must find the mean of all five test scores.
Add together all five scores:
Then divide the sum by the total number of scores:
is Judy's overall score in the class.
Example Question #2 : Basic Statistics
What is the mean of 44, 22, 134, and 200?
100
144
66
88
100
To find the mean, you must add all of the numbers together and divide by the amount of numbers. In this case there are four numbers so, we must deivide the total sum by 4.
Example Question #2 : Basic Statistics
Calculate the mean of the following numbers: 11, 13, 16, 13, 14, 19, 13, 13
First, calculate the sum of all of the numbers.
Next, divide by the total number.
Example Question #3 : Basic Statistics
The class average in a class of 15 is 86%. If one additional student earns a 100% in the class, what is the new class average.
None of the available answers
There is not enough information to answer this question
We can treat this as if the entire class had exactly 86% as their average, so the new average is:
Example Question #2 : How To Find Mean
What is the mean of the following numbers?
88,99,31,47,68,27
To find the mean you add all of the numbers together and divide it by the amount of numbers. In this case there are six numbers so
The answer is .