### All HiSET: Math Resources

## Example Questions

### Example Question #1 : Proportional Relationships

An electronics store is having a sale and offering off the regular prices of all laptop computers. If the sale price for a certain laptop is , what is the regular price of the laptop?

**Possible Answers:**

**Correct answer:**

Notice that is the price after the discount. Therefore, the sale price of is of the regular price (or times the regular price). The regular price can be represented as , or times the regular price.

First, set up a proportion describing the problem, using to represent the unknown quantity, the regular price:

Next, cross multiply:

Finally, divide both sides by to solve for :

Therefore, the regular price is .

### Example Question #11 : Hi Set: High School Equivalency Test: Math

3 sticks of butter weigh 12 ounces combined. Using this information, determine the weight of 7 sticks of butter.

**Possible Answers:**

**Correct answer:**

Set up a proportional relationship, using to represent the unknown quantity (the weight of 7 sticks of butter):

Cross multiply:

Finally, divide both sides to solve for :

### Example Question #11 : Numbers And Operations On Numbers

If is inversely related to and and is directly related to , which formula describes the relationship between and ?

**Possible Answers:**

**Correct answer:**

To say that is inversely related to is to say .

To say that is directly related to is to say .

Thus, to say is inversely related to and and is directly related to is to say

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