Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #17 : Integer Operations

Divide twenty six by seventy eight. 

Possible Answers:

Correct answer:

Explanation:

Write the sentence as an expression.

Rewrite the fraction by common factors.  Both numbers are divisible by two.

Cancel out the two.

Notice that the fraction  can also be reduced further.

The fraction is:  

Example Question #18 : Integer Operations

Divide sixty with twenty five.

Possible Answers:

Correct answer:

Explanation:

Write the expression as a fraction.

Rewrite the numerator and denominator with common factors.

Cancel the common terms on the top and bottom.

The answer is:  

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

12

1

7

-1

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

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