The Distributive Property

​Apply and Expand the Distributive Property

By LAURA MCFADDEN

Multiple Choice

What is the distributive property?

• For any numbers a, b, c,

  a(b + c) = ab + ac

• For any numbers a, b, and c,

  a(b + c) = a + (b + c)

• For any numbers a, b, c,

  abc = a + b + c

• For any number a, b, and c,

  a(b + c ) = a(c + b)

Drag and Drop

Drag the terms to correctly complete the simplified version of this expression? $$-4(8r+3)$$  

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Drag these tiles and drop them in the correct blank above

Multiple Choice

What is the simplified version of this expression? $$-4(8r+3)$$  

• $$-32r-12$$  

• $$32r-12$$  

• $$-32r+12$$  

• $$32r+12$$  

Multiple Choice

How can 4(3 +9) be expressed using the distributive property?

• 4(3) + 4(4 + 9)

• 4(3) + 4(9)

• 4 + 9 = 9 + 4

• (4 + 3) x (4 + 9)

Multiple Choice

• 35x+7
• 35x-1
• 35x-7
• -35x-7

Multiple Choice

What is the simplified version of this expression? $$5(a+6)$$  

• $$5a+6$$  

• $$a+30$$  

• $$5a+30$$  

• $$5a-30$$  

Multiple Choice

What is the simplified version of this expression? $$9\left(-5x+8\right)$$  

• $$45x-72$$  

• $$45x+72$$  

• $$-45x-72$$  

• $$-45x+72$$  

Multiple Select

Choose the TWO expressions that do NOT represent the area of the rectangle.

• t(5 + 4)

• t $$\cdot$$ 5 $$\cdot$$ 4

• t + 5 + 4

• 9t

Multiple Choice

$$\cdot$$  Which expression shows the total area as a product of the length and width?

• 3 $$\cdot$$ x + 7 

• 3x + 7

• 3x + 21

• 3