### All Pre-Algebra Resources

## Example Questions

### Example Question #1 : Multiplication And Division

Express in degrees: radians

**Possible Answers:**

**Correct answer:**

Since , we can convert as follows:

### Example Question #2 : Multiplication And Division

Suppose you know the values of and , and you want to evaluate the expression:

In which order would you carry out the four operations in the expression?

**Possible Answers:**

Multiply, add, subtract, divide

Multiply, subtract, add, divide

Divide, multiply, subtract, add

Subtract, add, multiply, divide

Add, subtract, multiply, divide

**Correct answer:**

Multiply, subtract, add, divide

A fraction bar in an expression acts as both a division symbol and a grouping symbol, so we evaluate the numerator first. Within the numerator, there is a multplication, a subtraction, and an addition, so, by order of operations, we multiply first. Addition and subtraction are carried out right to left; the subtraction is left of the addition, so we subtract next, then add. Finally, we divide the numerator by the denominator.

In summary: Multiply, subtract, add, divide

### Example Question #3 : Multiplication And Division

Simplify the following as far as possible:

**Possible Answers:**

**Correct answer:**

If we use the foil method we get the following:

First:

Inner:

Outer:

Last:

If that is simplified we're left wiht

### Example Question #4 : Multiplication And Division

Simplify:

**Possible Answers:**

**Correct answer:**

The whole operation is squared, so to better understand how to solve it it can be rewritten as:

Using order of operations we get the following:

First:

Inner:

Outer:

Last:

When this is simplified we have

### Example Question #5 : Multiplication And Division

Simplify:

**Possible Answers:**

**Correct answer:**

The equation can be rewritten as

First the foil method should be used, leaving us with:

Then the 2 can be distributed to each of the factors inside the parentheses. Leaving the solution:

### Example Question #6 : Multiplication And Division

Which expression simplifies to

**Possible Answers:**

**Correct answer:**

results in when simplifying with the foil method as follows:

First:

Inner:

Outer:

Last:

### Example Question #7 : Multiplication And Division

What expression simplifies to

**Possible Answers:**

**Correct answer:**

When simplified using the FOIL method results in the following:

First:

Inner:

Outer:

Last:

When the 2 is distributed and the expression simplified we are left with

### Example Question #8 : Multiplication And Division

A salesman for a car dealership earns 12% commission on all sales. What will be his commission for a week if he sells three cars that week - a $55,000 SUV on Tuesday, a $28,000 car on Thursday, and a $42,000 van on Friday?

**Possible Answers:**

**Correct answer:**

The total sale price of the cars he sells will be

.

12% of $125,000 is

,

which is the salesman's commission.

### Example Question #3 : Operations

Read the following problem but do not solve it.

*Acording to Mr. Smith's will, when he dies, each of his six children is to be left a parcel of land 510 acres in area. If these six parcels make up all of the farm, then how large is Mr. Smith's farm now?*

Which of the following expressions must be evaluated in order to answer this question?

**Possible Answers:**

**Correct answer:**

There are six parcels of equal size; the total size is therefore the *product* of the common size (510 acres) and the number of parcels (6). This is

### Example Question #9 : Multiplication And Division

Beck has 5 pairs of the same style of shoe, called the "button up." Each shoe has 6 buttons. How many buttons are there on Becky's "button up" shoe collection?

**Possible Answers:**

**Correct answer:**

If Beck has 5 pairs of shoes, that means he has 10 shoes because there are 2 shoes in a pair.

Since each shoe has 6 buttons, that means that there are 60 buttons in the collection.