Card 0 of 20
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.
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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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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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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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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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First complete the addition in the parentheses, then multiply the two values:
11 (8 + 3)
= 11 (11)
= 121
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Simplify the expression:
Apply the distributive property:
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Simplify the expression:
Apply the distributive property:
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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.
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First add the terms inside the parentheses, then multiply:
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Subtract the terms inside the parentheses, and then multiply by the term outside of the parentheses:
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First complete the subtraction inside the parentheses, and then multiply:
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First complete the addition inside the parentheses, and then multiply the result by the constant outside of the parentheses:
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First complete the addition inside of the parentheses, then multiply by the constant outside of the parentheses:
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Simplify the expression:
Distribute, then collect like terms, making sure you switch the symbols in the second disribution due to the minus:
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Simplify:
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Simplify:
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Using the distributive property, multiply:
Answer:
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