How to find the distributive property - ISEE Middle Level Math

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Question

Which of the following expressions is equivalent to the expression below?

Answer

First, we can distribute the into the parentheses.

Now we can simplify the terms.

Subtracting a negative is the same as adding a positive.

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Question

Answer

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:

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Question

Answer

Using the distributive property, multiply times each of the numbers in parenthesis then add.

The answer is

Alternatively, add the two terms inside the parentheses and then multiply the sum by :

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Question

Answer

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:

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Question

Answer

Using the distributive property, multiply 12 by each of the numbers is parentheses:

Add the products to find the answer:

The answer is

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Question

Answer

First complete the addition in the parentheses, then multiply the two values:

11 (8 + 3)

= 11 (11)

= 121

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Question

Simplify the expression:

Answer

Apply the distributive property:

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Question

Simplify the expression:

Answer

Apply the distributive property:

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Question

Which of the following expressions is equal to according to the distributive property of multiplication over addition?

Answer

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.

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Question

Answer

First add the terms inside the parentheses, then multiply:

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Question

Answer

Subtract the terms inside the parentheses, and then multiply by the term outside of the parentheses:

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Question

Answer

First complete the subtraction inside the parentheses, and then multiply:

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Question

Answer

First complete the addition inside the parentheses, and then multiply the result by the constant outside of the parentheses:

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Question

Answer

First complete the addition inside of the parentheses, then multiply by the constant outside of the parentheses:

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Question

Simplify the expression:

Answer

Distribute, then collect like terms, making sure you switch the symbols in the second disribution due to the minus:

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Question

Simplify:

Answer

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Question

Simplify:

Answer

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Question

Answer

Using the distributive property, multiply:

Answer:

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