Show:
Associative Property
Commutative Property
Distributive Property
Greatest Common Factor
Least Common Multiple
100
In the first three rounds of a game show, a team answers 4 questions correctly, 2 questions correctly, and 8 questions correctly. Use the Associative Property to show how many total questions they got correct.
What is (4+2)+8 and 4+(2+8)
100
Yesterday 5 friends planned a camping trip. They spent 27$ on food per person. Write two equivalent expressions for their total cost using the Commutative Property.
What is 5*27 and 27*5
100
A family is going on vacation for 4 days. A rental car costs $66 per day and a hotel room costs v dollars per day. What is the algebraic expression to represent the total cost of the car and hotel room? Then give an equivalent expression using the Distributive Property.
What is 4(66+v) and 4*66+4v.
100
What is the GCF of 78 and 27?
What is 3
100
Find the LCM of 6 and 21.
What is 42
200
Use the Associative Property to give another equivalent expression to 49+(55+43).
What is (49+55)+43
200
State the Commutative Property of Multiplication and give a numeric example.
What is changing the order of the factors does not change the product. 4*3*5=4*5*3
200
Write an equivalent expression to 5y+2y with the Distributive Property.
What is y(5+2)
200
Find the GCF of 8 and 26.
What is 2
200
Find the LCM of 10 and 14 using prime factorization.
What is 70
300
On a 25 day road trip, a family drives at a constant speed of 51 miles per hour for 4 hours each day. Write two equivalent expressions using the Associative Property.
What is (51*4)*25 and 51*(4*25)
300
At a factory, each robot can assemble 49 items per hour. The expression is 49*r*24. Which of the following is equivalent by the Commutative Property? (49r)*24, 49(r*24), r*49*24, 49*24*r
What is r*49*24, 49*24*r
300
Write an equivalent expression to 4(u+12).
What is 4u+48
300
Give the definition of greatest common factor.
What is the greatest number that is a factor of all the numbers.
300
What is the LCM of 125 and 50 using prime factorization?
What is 31,300
400
State the Associative Property of Addition and give an algebraic example.
What is changing the grouping of the addends does not change the sum. (a+b)+c=a+(b+c)
400
Each player on the basketball team makes 10 shots. Write two equivalent expressions showing their total number of shots.
What is p*10 and 10*p
400
What expression is equivalent to 30y+24y by the Distributive Property?
What is 3(10y+8y)
400
What is the prime factorization of 75?
What is 3*5*5
400
What is the definition for least common multiple?
What is the smallest multiple shared by all the numbers.
500
What is the difference between the Associative Property of Multiplication and the Commutative Property of Multiplication?
What is in Associative you regroup and Commutative you reorder.
500
The expression for the total number of inches of snowfall for five cities is 78+54+23+53+80. Give another equivalent expression using the Commutative Property.
What is 78+23+54+53+80
500
The drama club sold tickets to the school play. Adult tickets were 12 each and student tickets were 6 each. Write an expression for the cost of 41 adult tickets and 83 student tickets. Can you use the Distributive Property to find an equivalent expression?
What is 41(12)+6(83). Yes because they have a common factor of 6.
500
You have two pieces of string. One is 27 cm and the other is 45 cm. You want to cut smaller pieces of each in equal lengths. Each length needs to be a whole number. What lengths are possible for the 27 cm piece? The 45 piece? What's the greatest common length?
What is 9, 27, 3, 1. What is 15, 5, 1, 45, 9, 3. Greatest common length is 9.
500
A store is giving a 10$ gift card to every 55th customer. They're also giving a 50$ gift card to every 91st customer. Which customer will be the first to get both gifts?
What is 5,005th customer