Algebra 1 : Real Numbers

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #21 : Real Numbers

Divide the following numbers: 

Possible Answers:

Correct answer:

Explanation:

Both numbers are divisible by .

Rewrite the numbers by their common factors.

The common terms that can be cancelled are three and five.

Reduce the fraction.

The answer is: 

Example Question #21 : Integer Operations

Divide the following integers:  

Possible Answers:

Correct answer:

Explanation:

Rewrite the expression as a fraction.

Cancel out the zeros on the ones place.  This is the same as dividing both numbers by ten.

The result is:  

Both numbers are divisible by two.   Write the fractions in terms of their common factors.

The common twos can be cancelled on the numerator and denominator.

The answer is:  

Example Question #23 : Real Numbers

Divide the following integers:  

Possible Answers:

Correct answer:

Explanation:

Write the fraction using common factors.  Both are divisible by five.

Simplify the fraction.

This fraction reduces to a whole number.

The answer is:  

Example Question #24 : Real Numbers

Divide 

Possible Answers:

Correct answer:

Explanation:

Rewrite this expression as a fraction.

Rewrite the numerator and denominator using common factors.

Notice that we can now cancel the five in the numerator and denominator.

The answer is:  

Example Question #21 : How To Divide Integers

Divide eighty four with sixteen.

Possible Answers:

Correct answer:

Explanation:

Write the problem statement with an expression as a fraction.

Rewrite the numerator and denominator by common factors.  Both numbers are divisible by four.

Notice that we can cancel the common fours on the top and bottom.

The answer is:  

Example Question #23 : Integer Operations

Divide eighty six with thirty two.

Possible Answers:

Correct answer:

Explanation:

Write the expression for this problem.

Rewrite the fraction using common factors.  Both the numerator and denominator are divisible by two.

This fraction is no longer reducible.

The answer is:  

Example Question #27 : Real Numbers

Divide:  

Possible Answers:

Correct answer:

Explanation:

To divide these numbers, we can rewrite this as a fraction to avoid long division.

Both numbers can be seen divisible by five.  Rewrite these numbers using common factors.

Cancel the fives.

The answer is:  

Example Question #1 : How To Subtract Integers

What is 4 – (–3)? 

Possible Answers:

7

1

12

-1

-7

Correct answer:

7

Explanation:

When subtracting integers, it is important to remember to add the inverse of the second number. In this case 4 – (–3), turns into 4 + (+3), which is 7. 

4 – (–3)

4 + 3

7

Example Question #2 : How To Subtract Integers

Evaluate the following:

Possible Answers:

Correct answer:

Explanation:

When you subtract integers, it is the same thing as adding the inverse of the second integer. You can consider the following:

You can also consider the problem as asking for six less than negative four. This will also get you to the answer of

Example Question #3 : How To Subtract Integers

Evaluate the following:

Possible Answers:

Correct answer:

Explanation:

When you subtract integers, it is the same thing as adding the inverse of the second integer. You can consider the following:

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