Generate Equivalent Expressions

Are the following expressions equivalent? -2x + 5 and 5-2x

• Yes

• No

• Commutative Property

• Distributive Property 

• Associative Property 

• Adding the Additive Inverse

Select all the expressions that are equivalent to 2(x-4).

• 2x-4

• -4+2x

• 2x+(-8)

• 2x-8

• -8+2x

Write an expression that represents the weight of an object that weighs 12 pounds and increases by 0.5 pounds per month, m.

• 12+0.5m

• 12-0.5m

• 12m+0.5

• 12m-0.5

Mark is closing his pool for the summer. His pool currently holds 210 gallons of water and will lose 5 gallons per hour, h. Write an expression that represents Mark's situation.

• -5h-210

• 210-5h

• 5h+21

• -210-5h

Which property was used to generate the following equivalent expression: -3(10x-5)=-30x+15.

• Associative Property

• Distributive Property

• Commutative Property

Simplify the following expression: 4x+7x-2y+8y

• 11x-2y+8y

• 4x+7x+6y

• 11x+6y

Simplify the following expression: 3+9w-7z+z+3w

• 12w-6z+3

• 8w-6z+4

• 6z-12w+3

• 8w-12z+3

Expand and simplify the following expression 7(3-5p)

• 10-12p

• 5p-21

• 21-35p

• 21-5p

Choose two expressions that are equal to 5(2x+3)

• 10x+15

• 10x+8

• 15+10x

• 10x-15