# Algebra II : Number Lines

## Example Questions

### Example Question #1 : Number Lines

For all negative values of , where , what is the correct order, from least to greatest, for the following expressions?

a)

b)

c)

b,a,c

a,b,c

c,b,a

a,c,b

c,a,b

c,b,a

Explanation:

The easiest approach to this problem is to pick a value for X, and plug it in.

If we use , then then expression

a) .

b)

c)

The order from least to greatest is C,B,A

### Example Question #2 : Number Lines

Put the following numbers in order from least to greatest:

Explanation:

, remembering that, then the most negative number is first, the least negative is last.

Therefore,

.

Thus when we put them in order we get,

### Example Question #3 : Number Lines

What are integers?

Positive whole numbers only.

Positive, negative whole numbers and .

Negative whole numbers only.

Just .

Any number that is real.

Positive, negative whole numbers and .

Explanation:

Integers are values you would find on a number line.

They are whole numbers that exist in positive and negative values. What divides them is the number .

So integers are essentially positive, negative whole numbers and .

### Example Question #4 : Number Lines

Which of the following numbers is between  and ?

Explanation:

The answer will lie in the range between negative one and a half.  Convert all the values given to integer or fractional form.

is undefined.

Of all the possible answers,  will fall between the given range.