GED Math : Basic Operations

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #265 : Ged Math

Solve for 

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we'll need to get all the other variables to one side so. Right now  is being divided by , so we need to multiply the  to the other side in order to move it.

Since all the variables are different we can't do anything else to simplify the equation.

Our answer is 

Example Question #264 : Numbers And Operations

Solve for 

Possible Answers:

Correct answer:

Explanation:

In order to solve for , we need to make sure that all our other variables are on the other side of the equation. 

At the moment   is being surrounded by  and  so we need to move these variables to the other side of the equation.

Let's begin by multiplying   on the other side.

We still have  near , so we'll need to add  to the other side in order to get  alone.

Since there are no numbers and none of the variables are the same we can't do anything else to this equation.

Our answer is 

Example Question #267 : Numbers And Operations

Solve this equation: 

Possible Answers:

Correct answer:

Explanation:

Multiplication is a lot like adding, just with multiples of the same number.

We can solve this two ways, so we will do it both. Let's start with  first.

So we can see that  is being multiplied by . This is the same as saying we are adding two 's.

Now let's go with . We can see that  is being multiplied by , which is the same as saying we are adding four 's.

Either way you pick, both routes give us the answer .

Our answer is .

Example Question #101 : Basic Operations

Divide:

Possible Answers:

Correct answer:

Explanation:

Use the long division process:

       

                  5 goes into 12 2 times; 

                   5 goes into 26 5 times; 

                   5 goes into 15 3 times; 

         

Example Question #102 : Basic Operations

Which of the following is an undefined expression?

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

Both differences are defined, as there is no restriction on what two numbers can be subtracted. Zero divided by any nonzero number yields a quotient of zero, so  is defined and equal to zero. But zero cannot be a divisor. This makes  the undefined quantity.

Example Question #271 : Ged Math

If 10,000 is divided by 23, what is the remainder?

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

Use the long division process.

Thingy

The remainder is 18.

Example Question #103 : Basic Operations

Forty friends are renting a party bus to the school prom. Rental of the party bus will cost $280 up front plus $20 per hour. The friends have the bus from 5:00 PM to 2:00 AM.

The friends have agreed to split the cost evenly. How much will each pay?

Possible Answers:

Correct answer:

Explanation:

From 5:00 PM to 2:00 AM will be 

 hours.

The bus will cost the students

,

which, divided evenly among 40 students, means that each will pay

.

Example Question #104 : Basic Operations

Divide and rewrite as a mixed fraction:  

Possible Answers:

Correct answer:

Explanation:

Rewrite both the numerator and denominator using factors of two.

Reduce this fraction.

The number 99 goes into 23 four times, since , and will have a remainder of seven.

The answer is:  

Example Question #5 : Division

Divide the following:

Possible Answers:

Correct answer:

Explanation:

To divide fractions, we will take the first fraction and multiply it by the reciprocal of the second fraction. To find the reciprocal of a fraction, the numerator becomes the denominator, and the denominator becomes the numerator. In other words, we will flip the fraction. So, we get

 

 

 

Example Question #273 : Ged Math

Which number is not a factor of 66?

Possible Answers:

Correct answer:

Explanation:

Divide 66 by each of the four choices. The division that yields a nonzero remainder reveals the number that is not a factor.

66 divided by 6, 11, or 22 yields a zero remainder; 66 divided by 12 yields a nonzero remainder. Therefore, 12 is the nonfactor.

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