Popular Properties
Which property(ies) was used to simplify the expression below:
2a + 3 + a
(2a + a) + 3
3a + 3
Associative Property
(3c + 5) + 2c + 5 5(c + 2)
They are equivalent
(3c + 5) + 2c + 5 5(c + 2)
(3c + 2c) + (5 + 5) 5c + 10
5c + 10
Find the least common multiple of 9 and 12.
36
What is the greatest common factor of 14 and 84?
14
Erika has 30 gel pens and 42 mechanical pencils. She wants to make gift bags for her friends that have the identical amount of each supply in them. What is the largest number of gift bags Erika can make?
6 gift bags
Which property(ies) was used to simplify the expression below?
m + 5 + 3m + 2
m + 3m + 5 + 2
4m + 7
Commutative Property
3(n + 4) 2(n + 2) + n + 8
The expressions are equivalent
3(n + 4) 2(n + 2) + n + 8
3n + 12 2n + 4 + n + 8
2n + n + 4 + 8
3n + 12
Find the least common multiple of 6 and 10.
30
What is the greatest common factor of 32 and 54?
2
Iris Facetimes with her grandmother in Bejing every 12 days. She Facetimes with her uncle in London every 18 days. She just Facetimed with both of them today. In how many days will she Facetime with both of them on the same day again?
Which property(ies) was to used to simplify the expression below?
2(m + 4)
2(m) + 2(4)
2m + 8
Distributive Property
2j + 2(j + 4) + 1 2j + 2(2j + 4)
The expressions are not equivalent
2j + 2(j + 4) + 1 2j + 2(2j + 4)
2j + 2j + 8 + 1 2j + 4j + 8
4j + 9 6j + 8
Find the least common multiple of 9 and 21.
63
What is the greatest common factor of 45 and 60?
15
Nick is making fruit cups for breakfast for kids at a summer camp. He has 63 blueberries and 72 strawberries. He wants to put identical amounts of each fruit into the fruit cups. What is the greatest number of fruit cups he can make? How much of each fruit will be in each cup?
9 cups
7 blueberries, 8 strawberries
Which property(ies) was used to simplify the expression?
5 + 5(c + 3)
5 + 5c + 15
5 + 15 + 5c
20 + 5c
Distributive Property
Commutative Property
(2p + 4) + 4p + 2 6(p + 1)
The expressions are equivalent
(2p + 4) + 4p + 2 6(p + 1)
(2p + 4p) + (4 + 2) 6p + 6
6p + 6
Find the least common multiple of 12 and 27.
108
What is the greatest common factor of 36 and 81?
9
A bullet train leaves the station every 15 minutes. A light rail train leaves the station every 24 minutes. In how many minutes will both trains leave at the same time?
120 minutes
Which property(ies) was used to simplify the expression?
5b + 7 + 3b + 2
(5b + 3b) + (7 + 2)
8b + 9
Associative Property
(5h + 3) + (h + 7) 2(h + 5) + 4h
The expressions are equivalent
(5h + 3) + (h + 7) 2(h + 5) + 4h
(5h + h) + (3 + 7) 2h + 10 + 4h
6h + 10 2h + 4h + 10
6h + 10
Emily has piano lessons every 12 days. She has karate practice every 16 days. She just had both events on the same day. What day will her piano lessons and karate practice be on the same day again?
48th day
A teacher is making identical activity packets using 84 crayons and 24 sheets of paper. What is the largest number of packets the teacher can make?
12 activity packets
Ms. Hughes is making teams of 5th and 6th graders for soccer drills. There are 48 5th graders and 66 6th graders. If she wants to make teams with identical numbers of each grade level, what is the biggest number of teams she can make? How many of each grade level students will each team have?
6 teams
8 5th graders; 11 6th graders