7th grade distributive 12/6 & 1/3

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)

​Distributive Property

​Draw your arrows, then multiply.

You are able to keep up with what terms to multiply when using the distributive property when you draw your arrows FIRST.​

Take Away: ALWAYS, ALWAYS DRAW YOUR ARROWS FIRST!​

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

Simplify
14(b – 10).

• 4b
• b – 140
• 14b – 140
• 14b – 10

Multiple Choice

Simplify the expression
11(9 + d)

• 99 + d
• 20 + 9d
• 20 + d
• 99+11d

Multiple Choice

3(2c - 5)

• 6c - 15
• 6c + 15
• 6c + 15
• -6c - 15

Multiple Choice

6(x + 1) - 5(x + 2)

• 2x + 8

• x - 4

Multiple Choice

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

• $$6\left(x+24\right)$$  

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

• $$x\left(6+24\right)$$  

• $$30x$$