Distributive Property & Simplifying Expressions

Simplifying Expressions

What if I have to distribute and then simplify?

Drag and Drop

Use the distributive property to simplify -15(2x + 5)​

Placeholder

Drag these tiles and drop them in the correct blank above

-30x - 75

-30x + 75

-30x + 5

Match

Match the following expressions to the correct simplified response.

• (n - 5)2

• -3(3x - 6)

• 1/2(-b + 4)

• 0.5(16a - 16)

• -10(-10 - 3x)

2n - 10

-9x + 18

-1/2b + 2

8a - 8

100 + 30x

• 2n - 10

• -9x + 18

• -1/2b + 2

• 8a - 8

• 100 + 30x

Poll

I got this distributing thing down! (I understand how to distribute).

Distributing, then combining

• ​Distribute if necessary

• Match up like terms & combine (follow integer rules)

• Check to make sure expression is simplified

Open Ended

Remember to spot the fake! Which of the expressions do you need to distribute and why?

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

Ex 1. Simplify. (make simple, simplest form)

​4(3x + 7) - 5x

Ex. 2 Simplify (make simple)

​4h - 3(2h - 5)

Ex 3 Simplify (make simple)

​What do you notice here!!!!!!!!!!!!!!!!!!!!

2x - (x + 3)

Ex 4 Simplify (make simple)

​1/2(-20x - 5) + 15

Multiple Choice

What would I do first to simplify: 5n + 5(3n - 2)

• Combine 5n + 3n

• Distribute the 5 to the 3n and the + 2

• Distribute the 5 to the 3n and the -2

• Add 5n + 5

Open Ended

Simplify the following in your notes and type your answer. 5n + 5(3n - 2)

Write an expression to find the perimeter of the following.

Well to find the perimeter of any triangle, I would....

​What in the world?????

Write an expression to find the perimeter of the rectangle...(think about the relationship between the sides of a rectangle)...

​

​Now you try...

​YOU'RE A MATH SUPERSTAR!!!!