Equivalent Expressions and Distributive Property

4-3 Distributive Property

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Terms to Know

Distributive Property:

To multiply a number by a sum, multiply each number in the sum by the number next to the parenthesis.

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Use the Distributive Property to write the expression as an equivalent expression.

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Use the Distributive Property to write the expression as an equivalent expression.

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Use the Distributive Property to write the expression as an equivalent expression.

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Use the Distributive Property to write the expression as an equivalent expression.

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Use the Distributive Property to write the expression as an equivalent expression.

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Use the Distributive Property to write the expression as an equivalent expression.

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Fill in the Blanks

Evaluate the expression:

$-2\left(6+1\right)\ =$  

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Evaluate the expression:

$\left(7+2\right)4=$  

Use the Distributive Property to write the expression as an equivalent algebraic expression.

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Multiple Choice

What is the correct algebraic expression?

$$7\left(x+2\right)$$  

• $$7\left(2x\right)$$  

• $$\left(7x\right)\ +\ \left(7\times2\right)$$  

• $$7x+14$$  

Multiple Choice

What is the correct algebraic expression?

$$\left(n+9\right)4$$  

• $$\left(9n\right)4$$  

• $$4n\ +\ 36$$  

• $$4n+\left(9\times4\right)$$