GCF, LCM, Distributive Property Review

Distributive Property

100

Using the distributive property, write an equivalent expression to 3( 5 + 3)

15 + 9

200

Using the distributive property, write an equivalent expression to 7(4 + 6)

28 + 42

300

Using the distributive property, write an equivalent expression to 8(5 + 3)

40 + 24

400

Using the distributive property, write an equivalent expression to 2(6 - 5)

12 - 10

500

Using the distributive property, write an equivalent expression to 5(2 + 3 + 5)

10 + 15 + 25

Prime Factorization

100

Find the prime factorization of 35

5 x 7

200

Find the prime factorization of 24

2 x 2 x 2 x 3

300

Find the prime factorization of 42

2 x 3 x 7

400

Find the prime factorization of 75

3 x 5 x 5

500

Find the prime factorization of 60

2 x 2 x 3 x 5

GCF

100

Find the GCF of 40 and 8

8

200

Find the GCF of 25 and 60

5

300

Find the GCF of 12 and 16

4

400

Find the GCF of 81 and 27

27

500

Find the GCF of 9 and 8

1

LCM

100

Find the LCM of 4 and 5

20

200

Find the LCM of 3 and 9

9

300

Find the LCM of 2 and 5

10

400

Find the LCM of 6 and 10

30

500

Find the LCM of 12 and 14

84

Word Problems

100

Jeremiah is preparing dinner plates. He has 15 pieces of chicken and 20 rolls. If he wants to make all the plates identical without any food left over, what is the greatest number of plates Jeremiah can prepare?

5

200

Roy's Bath Shop sells bars of soap in boxes of 4 bars and bottles of soap in boxes of 6 bottles. An employee is surprised to discover that the shop sold the same number of bars and bottles last week. What is the smallest number of each type of soap that the shop could have sold?

12

300

David has 20 cans of regular soda and 12 cans of diet soda. He wants to create some identical refreshment tables that will operate during the football game. He also doesn't want to have any sodas left over. What is the greatest number of refreshment tables that David can stock?

4

400

Krysta notices an identical number of two types of insects in her neighborhood: butterflies and fireflies. She always seems to observe butterflies in groups of 6 and fireflies in groups of 9. What is the smallest number of butterflies that she could have seen?

18

500

The city's youth commission wants to hold events for 9 students from Allenville High and 12 students from Kinley High. The commission would like the same combination of Allenville and Kinley students at each event, with no students left out or attending multiple events. What is the greatest number of events that the commission can hold?

3