Equivalent Expressions and Distributive Property

Equivalent Expressions

Chapter 6 Lesson 7

Simplify each Expression

• To simplify the expression you have to distribute if necessary and then combine like terms

•  $5\left(6x+1\right)$  

•  $\left(5\cdot6x\right)+\left(5\cdot1\right)$  

•  $30x+5$  

Factoring Each Expression

• Remember this is the opposite of the distributive property

• Find the GCF and factor it out of each term.

•  $35x+25y$  

•  $\left(5\cdot7x\right)+\left(5\cdot5y\right)$  

•  $5\left(7x+5y\right)$  

Multiple Select

Which expressions are equivalent to

$$x+4x+6x$$  (there are 2)

• $$5x+6x$$  

• $$11+x$$  

• $$11x$$  

• $$5x-6x$$  

Multiple Select

Which expressions are equivalent to

$$3x+8y+13x$$  

• $$24xy$$  

• $$16x+8y$$  

• $$16y+8x$$  

• $$24+xy$$  

Multiple Select

Which expressions are equivalent to

$$24x+18$$  (there are 2)

• $$6\cdot4x+6\cdot3$$  

• $$6\left(4x+3\right)$$  

• $$4+6\cdot4x+3$$  

• $$6\left(x+3\right)$$