Determine Which Expressions Are Equivalent

Determine whether the two expressions are equivalent. 
2⋅(3⋅7) and (2⋅3) ⋅7

• Yes

• No

Determine whether the two expressions are equivalent. 
7⋅2 and 2⋅7

• Yes

• No

Determine whether the two expressions are equivalent. 
26 - (9 - 7) and (26 - 9) - 7

• Yes

• No

Determine whether the two expressions are equivalent. 
40 ÷ 10 and 10 ÷ 40

• Yes

• No

Mrs. Smith writes four expressions on the board. Which expressions are equivalent to each other?

• II

• I

• III

• IV

Mrs. Smith writes four expressions on the board. Which expressions are equivalent to each other? Expression​ ​ ​ (a)   and Expression ​ (b)  

• II

• I

• III

• IV

Mrs. Smith writes four expressions on the board. Which expressions are equivalent to each other?

• II

• I

• III

• IV

Which is equivalent?

• ¼(x)

• 4x

• Neither

Drag and drop the TWO expressions that are equivalent to (12x + 4y) – 2y​

​ (a)   ​ (b)  

• 12x + 2y

• 2(6x + y)

• 16x + 4y

• 14y

• 12x - 2y

Answer explanation

The expressions 12x + 2y and 2(6x + y) are equivalent to (12x + 4y) - 2y. These expressions simplify to the same result.

Determine whether the two expressions are equivalent.
625 + 421 and 421 + 625 

• Yes

• No