All ISEE Middle Level Math Resources
Example Questions
Example Question #1 : How To Find The Distributive Property
Which of the following expressions is equivalent to the expression below?
First, we can distribute the into the parentheses.
Now we can simplify the terms.
Subtracting a negative is the same as adding a positive.
Example Question #2 : How To Find The Distributive Property
Using the distributive property, multiply 3 times each of the numbers in parentheses, then add both products:
The answer is 27.
Alternatively, add the two terms inside the parentheses and then multiply the sum by 3:
Example Question #3 : How To Find The Distributive Property
First, using the distributive property, multiply 5 times each number in parenthesis, then add the products.
Finally, divide the numerator by the denominator.
The answer is 7.
Alternatively, first cancel the 5s and then add the terms in the parentheses:
Example Question #4 : How To Find The Distributive Property
Simplify the expression:
Apply the distributive property:
Example Question #5 : How To Find The Distributive Property
Simplify the expression:
Apply the distributive property:
Example Question #6 : How To Find The Distributive Property
Which of the following expressions is equal to according to the distributive property of multiplication over addition?
According to the distributive property, for any values of ,
If we set , this becomes the statement
.
Note that two of the other choices are equal to , but for different reasons; is equivalent because of the commutative property of addition, and is equivalent because of the commutative property of multiplication. The other two choices are not equal to at all.
Example Question #7 : How To Find The Distributive Property
Example Question #8 : How To Find The Distributive Property
Example Question #9 : How To Find The Distributive Property
First add the terms inside the parentheses, then multiply:
Example Question #10 : How To Find The Distributive Property
Subtract the terms inside the parentheses, and then multiply by the term outside of the parentheses:
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