Identifying and Generating Equivalent Algebraic Expressions

Are the following expressions equivalent if y=4?

5y - 8 and 2(5y -4)

• Yes, they are equivalent.

• No, they are not equivalent.

Are the following expressions equivalent?

4( y - 1) and 1 + 4y

• yes

• no

Which expression equivalent to  b x 45 + b x 25
*Hint combine all the like terms!!!* 

• bx(45+25)

• b+(45+25)

• b+(45x b)+25

Are the expressions 10b -2b and  2(5b - 1) equivalent?
*Hint-  use the distributive property to see if the second expression when factored out is the same as the first one*

• yes

• no

Is 3(3s+2s)= 15s

• yes

• no

Which mathematical property shown here proves that these two expressions are equivalent?
   6(v+5v)  =   6v+30v 

• Commutative Property multiplication

• Identity Property

• Distributive Property 

• Associative Property of addition

Which of the expressions below are equivalent?

• 2 x (m+5)  and     2m + 10

• 5a+(6a x0) and  30a

• 5n+3n+2n and 9n

• a+ a+ a=  a³

Is 4n-2 equivalent to  n+3n-2

• yes

• no

Which expression is equivalent to 30d+18?

• 48d

• 6(5d+3)

• 5(6+3d)

• d+30+18

Is 20b+16c  equal to 4(4b+5c)?

• yes

• no