A P.E. teacher needs to divide 4 male students and 18 female students into teams, each with the same combination of male students and female students and nobody left out. What is the greatest number of teams that can be formed?
2
100
Distribute 2(8+9)
16+18
100
What is the prime factorization of 16?
What is
2x2x2x2
200
What is the GCF of 18 and 28
2
200
What is the LCM of 3 and 5
15
200
An English teacher would like to divide 20 boys and 16 girls into groups, each with the same combination of boys and girls and nobody left out. What is the greatest number of groups that can be formed?
4
200
Factor the GCF out and re-write as a product of two factors (un-distribute)
24+36
12(2+3)
200
What is the prime factorization of 27?
What is
3x3x3
300
What is the GCF of 21 and 35?
7
300
What is the LCM of 4 and 12
12
300
Lindsey tutors students in groups of 3. Meanwhile, Sidney tutors students in groups of 5. While discussing their work, the tutors realize that they both work with the same total number of students. What is the smallest number of students each can have?
15
300
Distribute:
8(2x-3)
What is
16x-24
300
What is the prime factorization of 81?
What is
3x3x3x3
400
What is the GCF of 24 and 36?
12
400
What is the LCM of 9 and 12?
36
400
Mrs. Sharma, the science teacher, collected 6 sedimentary rocks and 15 metamorphic ones. Now she wants to create some identical kits for studying rocks, without having any rocks left over. What is the greatest number of kits she can create?
3
400
Factor the GCF out and re-write as a product of two factors (un-distribute)
32 + 16x
What is
16 (2 + x)
400
What is the prime factorization of 42?
What is
2x3x7
500
What is the GCF of 48 and 64?
8
500
What is the LCM of 5 and 13?
65
500
By coincidence, Ellen's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint comes in 15-liter containers while blue paint is sold in containers of 18 liter. What is the smallest amount of each paint color the store must have sold?
90
500
Factor the GCF out and re-write as a product of two factors (un-distribute)
63 + 81