GCF
LCM
Distributive Property
Equivalent Expressions
Other things!
100
Find the GCF of 8 and 36
4
100
Find the LCM of 6 and 5
30
100
Rewrite using the GCF: 63 - 14
7(9 - 2)
100
Use factors to write 2 equivalent expressions for the problem : 36 + 42
6(6 + 7)
3(12 + 14)
2(18 + 21)
1(36 + 42)
100
Find the GCF of 2 and 4
2
200
Find the GCF of 30 and 20
10
200
Find the LCM od 4 and 7
28
200
Rewrite using the GCF: 10v + 40v
10v(1 + 4)
200
Use factors to write 2 equivalent expressions for the problem : 50y + 5
5(10y + 1)
1(50y + 5)
200
What is the LCM of 10 and 15
30
300
Find the GCF of 32 and 48
8
300
Find the LCM of 12 and 14
84
300
Rewrite using the GCF: 33 + 11
11(3 + 1)
300
A student claims that the expressions below are all equivalent to 8x + 60. Is the student correct? Explain.
Only 2 and 4 are equivalent. In expressions 1, when you multiply the 2 to 4x and 30, you get 8x + 60. In expressions 4, when you multiply the 1 to the 8x and 60, you get 8x + 60.
300
The MathCounts Club had a party at school. There were 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and the same number of slices of pizza with nothing left over. How many students could have been at the party? (There is more than one answer. List 3.)
1 student: 1(20 + 40)
2 students: 2(10 + 20)
4 students: 4(5 + 10)
5 students: 5(4 + 8)
10 students: 10(2 + 4)
20 students: 20(1 + 2)
400
Find the GCF of 25, 45, 20
5
400
Find the LCM of 6 and 18
18
400
Rewrite 3(2x+5)
6x + 15
400
A student claims that the expressions below are all equivalent to 6y + 48y. Is the student correct?
Expression 1: 3y + 3y + 12y + 12y + 12y + 12y
Expression 2: 1(6y + 48y)
Expression 3: 6y(1 + 8)
Expression 4: 54y
Yes, all the expressions are equivalent to 6y + 48
400
An art club has to sell 42 large candles and 56 small candles. Use the Distributive Property to find the greatest number of containers they can use to show off the candles without leaving any out.
8 containers, each with 6 large and 7 small candles
8(6 + 7)
500
Find the GCF of 42, 30, 48
6
500
Find the LCM of 45, 30, 60
180
500
rewrite 2(x + 9)
2x + 18
500
Describe what the mistake is that this person made, then fix it:
This person forgot to multiply 6 by each number inside the parentheses. They should have gotten 6y + 48.
500
Shay's linens sells hand towels in sets of 10 and bath towels in sets of 6. If the store sold the same amount of each this morning, what is the smallest number of each towel type they sold? (total amount of towels, NOT sets)
30 of each
6 x 5 = 30
10 x 3 = 30