GCF/LCM Story Problems and Distributive Property

Two neon signs are turned on at the same time.  Both signs blink as they are turned on.  One sign blinks every 9 seconds.  The other sign blinks every 15 seconds.  In how many seconds will they blink together?

• 30
• 45
• 50
• 90

8(3 + 4) =

• 24 + 32
• 11 + 12
• 123 + 124
• 5 + 4

Rewrite using distributive property and GCF.  
24 + 30

• 6(4+5)
• 8(3+4)
• 6(4) + 6(2)
• 6x2+5

Peter has 18 oranges and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?

• 3
• 4
• 5
• 6

Rewrite the sum of the numbers as the product of their GCF and another sum. 36 + 45 = ?

• 6(6 + 9)
• 3(12+15)
• 9(4 + 5)

Rewrite using distributive property and GCF.
16 + 24

• 2(8+12)
• 3(5+8)
• 4(4+6)
• 8(2+3)

Factor this expression using GCF:
45 + 30

• 5 ( 9+ 6)
• 3 ( 15 + 10)
• 15 (3 + 2)
• 1 (45 + 30 )

Factor this expression using GCF:
36 + 24

• 2 (18 + 12)
• 3 (12 + 8)
• 6(6 + 4)
• 12 ( 3 + 2)

8(3 + 4) =

• 24 + 32
• 11 + 12
• 123 + 124
• 5 + 4

12(3 + 4) =

• 36 + 48
• 15 + 16
• 123 + 124
• 0.84