Expanding Expressions with Integers

Expanding Expressions with Integers

This is a lesson introducing the Distributive Property.

 $4\left(4a-3\right)$  

• When a number or variable is up next to another variable or a parenthesis without a space, that means you need to multiply.

• -4 is how many groups you need of everything in parenthesis.

• Terms to multiply by -4= 4a and -3

• Distributive Property is when you multiply everything on the outside of the parenthesis by everything on the inside of the paranthesis.

This means that you want

4 sets of (4a-3)

 $4a-3$  
+
 $4a-3$  
+
 $4a-3$  
+
 $4a\ -3$  

equals

 $16a\ -12$  

 $4\left(4a-3\right)$  

Instead of drawing them out we can multiply instead.

• Distribute (multiply) the -4 to the 4a and the -3. $4\left(4a\right)\ +\ 4\left(-3\right)$  

• Final Answer:  $16a\ -\ 12$  

Multiple Choice

4(2z+3y)

• 6z+7y

• 6y+7z

• 8z+12y

• 8y+12z

Multiple Choice

7(c+4)

• 7c+11

• 11c+7

• 28c+7

• 7c+28

Multiple Choice

-3(2c-4)

• -6c+12

• 12c-6

• c+12

• 12c+6