Distributive Property Numerical Expressions

An art club sells 42 large candles and 23 small candles each week. Write an expression showing how many candles they sell each in 7 weeks.

• 23(7 + 42)

• 7(23 + 42)

• 42(7 + 23)

• 7(23 x 42)

Seven people visited a local restaurant to get some lunch. A burger costs $8 and a bottle of soda costs $2. If all seven people ordered a burger and a soda, which a numerical expression shows the amount of money the restaurant made for this order.

• 7(2 + 8)

• 8(8 + 2)

• 2(8 + 7)

• 7(8 x 2)

Each day, you run on a treadmill for 20 minutes and lift weights for 15 minutes. Which expressions can you use to find how many minutes of exercise you do in 5 days?

• 5(20 + 15)

• 15(20 + 5)

• 20(15 + 5)

• 5(20 x 15)

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

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 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

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

How would an equivalent expression be written for this expression if the distributive property was used?
  14x + 21y

• 7+(2x+3y)

• 21+y+14x

• 21y+14x

• 7(2x +3y)