LCM & GCF Word Problems
There are 65 representatives and 100 senators serving in the United States Congress. How many identical groups with the same numbers of representatives and senators could be formed from all of Congress if we want the largest groups possible?
5 IDENTICAL groups
15+25
5(3 + 5)
Write 33 in standard form
7 x 3 - 2 + 4
23
Write an equivalent expression using distribution
2(7 + 4)
14 + 8
There are 18 girls and 24 boys who want to participate in a Trivia Challenge. If each team must have the same ratio of girls and boys, what is the greatest number of teams that can enter?
6 teams
Write an equivalent expression for
18 + 14
2(9 + 7)
Write 2 x 2 x 2 x 2 x 2 in exponential form.
25
2 x 4 + 9 - 3 X 5
2
Write an equivalent expression using distribution
6(9 - 2)
54 - 12
Rocco and his family have different types of taco shells on Taco Tuesday. He has 12 soft shell tacos and 16 hard shell tacos. This is how many plates can be made if each plate were to be identical.
What is 4 plates?
Write an equivalent expression for
30 - 24
6(5 - 4)
Write 54 in expanded form
5 x 5 x 5 x 5
5 x 2 + (8 - 3) + 34
96
Write an equivalent expression using distribution
12(1 + 2 + 3)
12 + 24 + 36
Claire volunteers at the dog shelter every 3rd day. She volunteers at the IC Parish office every 12th day. She volunteered at the dog shelter and the parish office both on March 31. On what date will she next volunteer at both?
What is April 12th?
Write an equivalent expression for
40 - 16
8(5 - 2)
8
10 x 8 + 82 + (5-2)
147
Write an equivalent expression using distribution
8(3 + 10)
24 + 80
Starting at 6:00 a.m., a bus stops at my street corner every 15 minutes. Also starting at 6:00 a.m., a taxi cab comes by every 12 minutes. What is the next time both a bus and a taxi are at the corner at the same time?
7:00 am
(lcm is 60) so in 60 minutes the bus will be at the street corner again
Write an equivalent expression for
60 + 48
12(5 + 4)
Evaluate
22 x 33
108
3 x 4 x 2 - 10 + 20
34
Write an equivalent expression using distribution
45 - 15
15(3 - 1)