Algebra II : Number Lines

Study concepts, example questions & explanations for Algebra II

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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)   

Possible Answers:

b,a,c

c,b,a

c,a,b

a,b,c

a,c,b

Correct answer:

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:

Possible Answers:

Correct answer:

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?

Possible Answers:

Negative whole numbers only.

Any number that is real.

Positive whole numbers only.

Just .

Positive, negative whole numbers and .

Correct answer:

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 ?

Possible Answers:

Correct answer:

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.

The answer is:  

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