Algebra II : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #1751 : Mathematical Relationships And Basic Graphs

Add the fractions:

Possible Answers:

Correct answer:

Explanation:

When adding fractions, the first thing we need to do is get a common denominator, but for this question, we do not need to do this because their denominators are already the same. Then when adding, only add the numbers on the top, while leaving the common number on the bottom the same. Once we get a final answer, simplify accordingly. 

Example Question #1752 : Mathematical Relationships And Basic Graphs

Add the fractions:

Possible Answers:

Correct answer:

Explanation:

When adding fractions, the first thing we need to do is get a common denominator. 

 

Then when adding, only add the numbers on the top, while leaving the common number on the bottom the same. Once we get a final answer, simplify accordingly. 

Example Question #1753 : Mathematical Relationships And Basic Graphs

Subtract the fractions:

Possible Answers:

Correct answer:

Explanation:

When subtracting fractions, the first thing we need to do is get a common denominator. 

 

Then when subtracting, only subtract the numbers on the top, while leaving the common number on the bottom the same. Once we get a final answer, simplify accordingly. 

Example Question #1754 : Mathematical Relationships And Basic Graphs

Subtract the fractions:

Possible Answers:

Correct answer:

Explanation:

When subtracting fractions, the first thing we need to do is get a common denominator. 

 

Then when subtracting, only subtract the numbers on the top, while leaving the common number on the bottom the same. Once we get a final answer, simplify accordingly. 

Example Question #1755 : Mathematical Relationships And Basic Graphs

Subtract the fractions:

Possible Answers:

Correct answer:

Explanation:

When subtracting fractions, the first thing we need to do is get a common denominator. 

 

Then when subtracting, only subtract the numbers on the top, while leaving the common number on the bottom the same. Once we get a final answer, simplify accordingly. 

Example Question #49 : Adding And Subtracting Fractions

Combine the fractions and leave answer as either whole number or fraction.

Possible Answers:

Correct answer:

Explanation:

First you must find the Least Common Denominator which is 28.

So you will multiply as follows to get the common denominator of 28:

Making it:

Combine to give answer:

Example Question #4417 : Algebra Ii

If  and , what is ?

Possible Answers:

Correct answer:

Explanation:

Let's first write the equation out:

In order to add these fractions, we need to have a common denominator.  To do this, we multiply the first term by the denominator of the second term, and vise versa:

Now we can add the numerators, while the denominators would stay the same:

We then simplify the numerator to get the final answer:

Example Question #1756 : Mathematical Relationships And Basic Graphs

Possible Answers:

Correct answer:

Explanation:

To add fractions, first find the common denominator. In this case, it's 21.

Then, multiply the numerators to get:

.

Then, add the numerators to get , which is .

Example Question #1759 : Mathematical Relationships And Basic Graphs

Add/Subtract 

Possible Answers:

Correct answer:

Explanation:

Step 1: Find the Lowest Common Denominator (LCD) of all fractions. We can get the lowest denominator by writing out multiples of each denominator until we get a match on all three:





We see that the LCD is .

Step 2: Change all fractions into denominator .



Cross-Multiply:



The first fraction is 

Second Fraction: 

Third Fraction: 

Step 3: Re-Write the equations:



The final answer is 

Example Question #52 : Adding And Subtracting Fractions

Simplify: .

Possible Answers:

Correct answer:

Explanation:

To simplify, we multiply each fraction by the denominator of the other:

Then we add the numerators:

We can't simplify our answer, so we're done.

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