Properties and Combining Like Terms

$$5n+10n$$

$$50n$$

$$50+n$$

$$50+10n$$

$$\left(n\times8\right)+\left(n\times4\right)$$

$$\left(n\times8\right)+n^2$$

$$8\left(n+4\right)$$

$$4\left(8+n\right)$$

$$b+2b+b^2+2b^2=3b^2+3b$$

$$6x\left(2x-5\right)=12x^2-30x$$

$$5\left(3-2y\right)=15-2y$$

$$4m+11+7m+3m+3=14m+14$$

$$16n-2+9n=2\left(8n-2\right)+9n$$

$$10\left(16+p\right)$$

$$\left(10+10\right)\times\left(16+p\right)$$

$$20\times16p$$

$$160+10p$$

$$170\times p$$

$$3y^2+9y$$

$$12y$$

$$12y^2$$

$$2y^2+10y$$

$$11x$$

$$17x$$

$$8+9x$$

$$8+3x$$

when the order of addition or multiplication expressions are changed.

when the grouping of addition or multiplication expressions are changed.

when the outside number is multiplied by the inside number.

when the order of addition or multiplication expressions are changed.

when the grouping of addition or multiplication expressions are changed.

when the outside number is multiplied by the inside numbers.

when the order of addition or multiplication expressions are changed.

when the grouping of addition or multiplicaiton expressions are changed.

when the outside number is multiplied by the inside number.

Commutative Property

Associative Property

Distributive Property