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

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Example Question #1 : How To Find The Distributive Property

Solve the following equation.

\dpi{100} 3(2-5)= ?

Possible Answers:

\dpi{100} -9

\dpi{100} -6

\dpi{100} 6

\dpi{100} 9

Correct answer:

\dpi{100} -9

Explanation:

\dpi{100} 2-5=-3.

\dpi{100} 3\times -3=9

Example Question #2 : How To Find The Distributive Property

Solve

Possible Answers:

Correct answer:

Explanation:

Use the distributive property to solve:

Example Question #3 : How To Find The Distributive Property

Expand the expression.

Possible Answers:

Correct answer:

Explanation:

Use FOIL (first, outer, inner, last) to expand.

First: 

Outside: 

Inside: 

Last: 

Sum the four terms into one expression.

Simplify by combining like terms.

Example Question #4 : How To Find The Distributive Property

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

Example Question #5 : How To Find The Distributive Property

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

Example Question #6 : How To Find The Distributive Property

Use the distributive property to expand:

 

Possible Answers:

Correct answer:

Explanation:

Remember: FOIL (first, outer, inner, last) to expand.

F: 

O: 

I: 

L: 

 

Now you have four terms:

Simplify: 

Example Question #7 : How To Find The Distributive Property

Evaluate.

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

When there is any number next to a set of parentheses the operation is multiplication of that number and anything inside of the parentheses.

Therefore,  would be the same as  . The  would be multiplied by the  since  is the same as .

The problem becomes  and based on the order of operations the multiplication operation would be solved first.

It solves to .

Example Question #8 : How To Find The Distributive Property

Choose the expression that correctly uses the distributive property to solve:

Possible Answers:

Correct answer:

Explanation:

To properly use the distributive property, multiple the first number by every number in parentheses:

Example Question #9 : How To Find The Distributive Property

Multiply:

Possible Answers:

Correct answer:

Explanation:

Example Question #10 : How To Find The Distributive Property

Multiply:

Possible Answers:

Correct answer:

Explanation:

Solve using the FOIL method:

First:

Outside:

Inside:

Last:

Add together and combine like terms:

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