ISEE Lower Level Math : How to find the distributive property

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

Example Question #71 : Numbers And Operations

Given that , simplify: 

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first substitute  for :



Then apply the distributive property: 

Where, 

Thus, the final solution is: 








Example Question #72 : Numbers And Operations

Multiply:

Possible Answers:

Correct answer:

Explanation:

To multiply these terms apply the Distributive property: ,

Where 

Thus, the solution is: 





 is the final answer because this expression can't be simplified. 

Example Question #73 : Numbers And Operations

Find an expression with an equivalent value to: 

Possible Answers:

Correct answer:

Explanation:

In order to find an equivalent expression to  consider the Distributive property: 

It is necessary to select an answer choice where the product of  and where the product of 

Therefore, the solution is  because 



Example Question #74 : Numbers And Operations

Multiply:

Possible Answers:

Correct answer:

Explanation:

To multiply these terms apply the Distributive property by applying the FOIL method. The FOIL method requires that we multiply each term and then combine like terms: 

Notice that in this problem 

Therefore, the solution is:




Example Question #75 : Numbers And Operations

Find an expression with an equivalent value to: 

Possible Answers:

Correct answer:

Explanation:

In order to find an equivalent expression to  consider the Distributive property: 

It is necessary to select an answer choice where the product of  and where the product of 

Therefore, the solution is  because:



Example Question #76 : Numbers And Operations

Multiply: 

Possible Answers:

Correct answer:

Explanation:

To multiply these terms apply the Distributive property by applying the FOIL method. The FOIL method requires that we multiply each term and then combine like terms: 

Note: FOIL stands for First, Outside, Inside, Last, where 
First
Outside
Inside
Last

However, in this particular problem we will not end up with any like terms that we can sum together. 



Example Question #77 : Numbers And Operations

Given that  

evaluate:  


Possible Answers:

Correct answer:

Explanation:

To solve this problem, first substitute  for :



or once you've substituted  for , apply the distributive property: 

Where, 





Example Question #78 : Numbers And Operations

Multiply: 

Possible Answers:

Correct answer:

Explanation:

To evaluate these terms apply the Distributive property: 
Then, combine any like terms to simplify the solution. 

The solution is:  





Example Question #79 : Numbers And Operations

Multiply: 

Possible Answers:

Correct answer:

Explanation:

To multiply these terms use the Distributive property by applying the FOIL method. The FOIL method requires that we multiply each term and then combine like terms: 

Note: FOIL stands for First, Outside, Inside, Last, where 
First
Outside
Inside
Last

In this problem, 

Thus,
 




The final solution is: 

Example Question #80 : Numbers And Operations

Find an equivalent expression to: 

Possible Answers:

Correct answer:

Explanation:

In order to find an equivalent expression to  consider the Distributive property: , where 

, however this does not appear as an answer choice.

Thus, the correct answer is: 

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