Distributive Property

Distributive Property

TEK 6.7D

The Distributive Property

• The distributive property allows us to multiply each term inside parentheses by the number outside the parentheses. 

• 4(3 + 4) = 4(3) + 4(4)

Using Variables

• Multiply 5 times x

• Multiply 5 times 6

• We multiply the outside number by all terms on the inside of the parentheses.

Multiple Choice

Which is equivalent to 5(a + 6)?

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Multiple Choice

2(4k + 7)

• 4k-9

• 4K+9

• 8k-14

• 8k+14

Multiple Choice

Simplify 5(2 - 7n)

• 52 - 57n

• 10 - 7n

• 10 - 35n

• 10 + 35n

Multiple Choice

Which expression is equivalent to  $6x+24$  ?

•  $6\left(x+24\right)$  

•  $6\left(x\right)+6\left(4\right)$  

•  $x\left(6+24\right)$  

•  $30x$  

Multiple Choice

Simplify
14(b – 10).

• 4b
• b – 140
• 14b – 140
• 14b – 10