How to use the distributive property in pre-algebra - High School Math

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Question

Expand:

Answer

Distribute the by multiplying it by each term inside the parentheses.

and

Therefore, 5(2 + y) = 10 + 5y.

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Question

Which of the following is equivalent to ?

Answer

We need to distribute -3 by multiplying both terms inside the parentheses by -3.:

.

Now we can multiply and simplify. Remember that multiplying two negative numbers results in a positive number:

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Question

Expand:

Answer

Use the distributive property. Do not forget that the negative sign needs to be distributed as well!

Add the terms together:

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Question

Distribute:

Answer

Remember that a negative multiplied by a negative is positive, and a negative multiplied by a positive is negative.

Distribute the through the parentheses by multiplying it by each of the two terms:

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Question

Simplify the expression.

Answer

Multiply the mononomial by each term in the binomial, using the distributive property.

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Question

Simplify the expression.

Answer

Use the distributive property to multiply each term by .

Simplify.

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Question

Distribute:

Answer

When distributing with negative numbers we must remember to distribute the negative to all of the terms in the parentheses.

Remember, a negative multiplied by a negative is positive, and a negative multiplied by a positive number is negative.

Distribute the through the parentheses:

Perform the multiplication, remembering the positive/negative rules:

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Question

Find the value of .

Answer

We can seperate the problem into two steps:

We then combine the two parts:

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Question

Distribute .

Answer

When distributing with negative numbers we must remember to distribute the negative to all of the variables in the parentheses.

Distribute the through the parentheses by multiplying it with each object in the parentheses to get .

Perform the multiplication remembering the positive/negative rules to get , our answer.

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Question

Simplify the expression.

Answer

Use the distributive property to multiply each term of the polynomial by . Be careful to distribute the negative as well.

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Question

Simplify the following expression:

Answer

Recall that the distributive property requires that we multiply the outside term by both terms in parentheses and add the results.

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Question

Evaluate the following expression:

Answer

Recall the distributive property. We need to multiply the outside factor by both terms inside and then combine.

Thus,

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