Answered

Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.


1) 8(x + 7) = ___________________


2) 5(x - 10) = ___________________


3) 6(11 + x) = ___________________


Factor each expression. (Pull a common factor from each number)


COMPLETED EXAMPLE: 27 + 12 = 3(9 + 4) → (3 is the shared factor for 27 and 12)


4) 12 + 36 =


5) 16 + 20 =


Solve each expression using the distributive property.


6) 4 x 82


7) 12 x 44


8) Mrs. S bought 9 folders and 9 notebooks. The cost of each folder was $2.50. Each notebook cost $4. First, write an expression for the problem then find the total cost.


Expression =


Total cost =

Verified Answer :

Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.

1) 8(x + 7) = 8x + 56

2) 5(x - 10) = 5x - 50

3) 6(11 + x) = 66 + 6x

Factor each expression. (Pull a common factor from each number) 

COMPLETED EXAMPLE: 27 + 12 = 3(9 + 4) → (3 is the shared factor for 27 and 12)

4) 12 + 36 = 12 (1 + 3)

5) 16 + 20 = 4 (4 + 5)

Solve each expression using the distributive property.

6) 4 x 82 = 4 (80 + 2) = 320 + 8 = 328 


7) 12 x 44 = 12 (40 + 4)  = 480 + 48 = 528

8) Mrs. S bought 9 folders and 9 notebooks. The cost of each folder was $2.50. Each notebook cost $4. First, write an expression for the problem then find the total cost.

Expression = 9f + 9n = 9($2.50) + 9($4)

Total cost =9($2.50) + 9($4) = $22.5 + $36 = $58.5

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