Exploring Adding and Subtracting Rational Expressions

Molly has 54 balloons and 90 glow sticks. What is the maximum number of people she can invite if she wants to distribute them equally?

• 18

• 9

• 27

• 36

What is the greatest common factor of 54 and 90?

• 27

• 9

• 6

• 18

A theater has 135 seats in the orchestra section and 243 seats in the general section. What is the greatest number of seats in each row if each row has the same number of seats?

• 9

• 27

• 15

• 45

What is the greatest common factor of 135 and 243?

• 15

• 9

• 45

• 27

Two traffic lights change every 20 seconds and 45 seconds respectively. After how many minutes will they both change at the same time again?

• 1

• 4

• 3

• 2

What is the least common multiple of 20 and 45?

• 60

• 90

• 120

• 180

Rey has wood blocks that are 24 cm tall and Laura has wood blocks that are 20 cm tall. What is the minimum number of blocks each must use to build towers of equal height?

• 5 and 4

• 4 and 5

• 6 and 5

• 5 and 6

What is the least common multiple of 24 and 20?

• 120

• 100

• 80

• 60

Troy has a 45-inch piece of wire and a 63-inch piece of wire. What is the longest each piece can be so that each piece is equally sized?

• 9 inches

• 7 inches

• 13 inches

• 11 inches

Black socks come in packages of 10 and white socks come in packages of 6. What is the minimum number of packages you need to buy to have an equal number of black and white socks?

• 5 and 7

• 4 and 6

• 3 and 5

• 2 and 3