Algebra II : Elementary Operations

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #2211 : Mathematical Relationships And Basic Graphs

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

In order to subtract the number, take the bigger number and subtract the smaller number, and then apply the negative sign.

The common factor of negative one can be pulled out to rearrange the numbers.

Example Question #12 : Elementary Operations

Combine the following terms:

Possible Answers:

Correct answer:

Explanation:

Combine the following terms:

To begin, we can consider each step independently. Because we are only dealing with addition and subtraction, the order we do this in does not matter. Rewrite as follows:

So there we go,  is our answer.

 

Example Question #2221 : Mathematical Relationships And Basic Graphs

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

Simplify the following expression:

Let's break this into parts.

First, realize that adding a negative number is the same as subtracting that number:

Next, subtract the 88:

Our answer must be negative, because 88 is bigger than 84. Therefore our answer is -4

Example Question #14 : Elementary Operations

If  and , what is ?

Possible Answers:

Correct answer:

Explanation:

When we add the functions together, we can only add terms that have matching exponents.  First, let's add the terms that are squared:

Next, let's do the linear terms:

Finally, we add the constants:

Then we collect all the terms back together:

Example Question #15 : Elementary Operations

Add the following numbers:  

Possible Answers:

Correct answer:

Explanation:

Add the ones digits.

The tens place is the carry over.

Add the tens digits with the carry over.

The tens place is the carry over for the next calculation.

Add the hundreds place with the carryover.

Combine this number with the ones digits of the previous calculations.

The answer is:  

Example Question #16 : Elementary Operations

Add the following numbers:  

Possible Answers:

Correct answer:

Explanation:

Add the ones digits.

Add the tens digits.

The carryover is the tens digit.

Add the hundreds digits with the carryover.

Add the thousands digits.

Combine this number with the ones digits of the previous calculations.

The answer is:  

Example Question #11 : Elementary Operations

Add the following numbers:  

Possible Answers:

Correct answer:

Explanation:

Add the ones digits.

The carryover is the tens digit.

Add the tens digits with the carryover.

The carryover is the tens digit.

Add the hundreds digits with the carryover.

The carryover is the tens digit.

Add the thousands digits with the carryover.  The thousands digit to 385 is zero.

Combine all the ones digits from each calculation.

The answer is:  

Example Question #18 : Elementary Operations

Solve:  

Possible Answers:

Correct answer:

Explanation:

Add the ones digits.

Add the tens digits.

The tens place will be the carryover.

Add the hundreds place with the carryover.

The tens place will be the carryover.

Add the thousands place with the carryover.  The thousands place of 381 is zero.

Combine all the ones digits from each calculation.

The answer is:  

Example Question #13 : Elementary Operations

Add the numbers:  

Possible Answers:

Correct answer:

Explanation:

Add the ones digits.

The carryover is the tens digit.

Add the tens digits with the carryover, one.

The carryover is the tens digit.

Add the hundreds digits with the carryover, which is also one.

The carryover is the tens digit.

Add the thousands digits with the carryover, which is two.

Combine all the ones digits from the previous calculations.

The answer is:  

Example Question #20 : Elementary Operations

Add the following numbers:  

Possible Answers:

Correct answer:

Explanation:

Add the ones digits.

The two in the tens place is the carryover.

Add the tens digits with the carryover.

The one in the tens place is the carryover.

Add the hundreds places with the carryover.

The one in the tens place is the carryover.

Add the thousands places with the carryover.

Combine this number with the ones digits from the previous calculations.

The answer is:  

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