### All GED Math Resources

## Example Questions

### Example Question #1 : Division

Divide:

**Possible Answers:**

**Correct answer:**

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 #2 : Division

Which of the following is an undefined expression?

Do not use a calculator.

**Possible Answers:**

**Correct answer:**

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 #106 : Basic Operations

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

Do not use a calculator.

**Possible Answers:**

**Correct answer:**

Use the long division process.

The remainder is 18.

### Example Question #2 : Division

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:**

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 #3 : Division

Divide and rewrite as a mixed fraction:

**Possible Answers:**

**Correct answer:**

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 #4 : Division

Divide the following:

**Possible Answers:**

**Correct answer:**

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 #5 : Division

Which number is not a factor of 66?

**Possible Answers:**

**Correct answer:**

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.

### Example Question #6 : Division

Solve for :

**Possible Answers:**

**Correct answer:**

In order to solve for , we'll need to move all of the variables on its side to the other side of the equation.

We can see that is currently the denominator to , so we need to move the in order to solve for .

To move the , we'll have to divide it on the other side. Keep in mind though that the is in the numerator, so it will stay in the numerator when it divides over.

We cannot proceed with the question as there is nothing left to do. Our variables are different and the can stay where it is.

Our answer is

### Example Question #7 : Division

Solve for :

**Possible Answers:**

**Correct answer:**

In order to solve for , we need to move all the numbers and variables to the other side of the equation.

We can see that is currently being multiplied by . In order to move the , we need to divide it on the other side of the equation.

Both and can be divided by , which in turn gets rid of the in the denominator.

We cannot proceed any farther since there is nothing left to do in the equation.

Our answer is

### Example Question #3 : Division

Solve for :

**Possible Answers:**

**Correct answer:**

In order to solve for , we'll need to move all the other variables to the other side of the equation. Currently is stuck to , so we need to move the to the other side.

In order to move , we'll have to divide it to the other side of the equation.

Since all the variables are different, we cannot do anything else to simplify this equation.

Our answer is