Equivalent Expressions

Writing Equivalent Expressions

How can you use the Distributive Property to write equivalent algebraic expressions?

 $2\left(3x-1\right)$  

Use the Distibutive Property to write an Equivalent Expression. 

 $2\left(3x-1\right)$  

• 3x - 1 is being multiplied by 2. The 2 must multiply everything inside of the paranthesis.

• Which terms are multiplied together first? (2 and 3x)

•  $2\cdot3x=6x$  

• Which terms are multiplied next? (2 and -1)

•  $2\cdot-1=-2$  

• So, the expression equals 6x - 2.

Check your work: Are these equal?

 $2\left(3x-1\right)=6x-2$  

• Choose a value for x. (x = 2)

• Substitute and evaluate each expression. 

•  $2\left(3\cdot2-1\right)$  =  $2\left(6-1\right)$  = $2\left(5\right)$  = 10

•  $6\cdot2-2$  = $12-2$  = 10

• Yes. These are equal.

Multiple Choice

Use the Distributive Property to write an equivalent expression by filling in the missing numbers.

$$2\left(x+3\right)=$$ _x + 6

• 2

• 6

• 1

• 4

Multiple Choice

Use the Distributive Property to write an equivalent expression by filling in the missing numbers.

$$6\left(4x-1\right)\ =$$ __x - 6

• 6

• 4

• 24

• 2

Multiple Choice

Use the Distributive Property to write an equivalent expression by filling in the missing numbers.

$$8x+2\ =\ 2\left(??x+1\right)$$  

• 8

• 4

• 16

• 2

Multiple Choice

Use the Distributive Property to write an equivalent expression.

$$3\left(x-6\right)$$  

• 3x - 6

• 3x - 18

• x - 9

• 4x - 18

Multiple Choice

Use the Distributive Property to write an equivalent expression.

$$4\left(x+7\right)$$  

• 4x + 28

• 4x - 28

• 4x + 7

• 4x - 7

Multiple Choice

Use the Distributive Property to write an equivalent expression.

$$35x+10$$  

• 5(7x + 10)

• 7(5x + 2)

• 5(7x + 2)

• 7(5x + 3

Poll

How are you feeling about Writing Equivalent Expressions?

• Great!

• So-So

• Confused