GCF/LCM
What is the GCF of 30 and 24?
6
2/7 = 12/x
x = 42
Combine like terms:
7x + 2y - 3x +10y
4x + 12y
Triangle 1 has side lengths 3, 4, and 5. Triangle 2 has side lengths 12, x, and 20. What is the missing side length?
16
Peter's Party Zone sells cups in packages of 6 and plates in packages of 8. Justin is hosting a birthday party for his little brother and wants the same number of each item. What is the least number of packages of plates he needs to buy?
3
What is the LCM of 9 and 12?
36
110/5 = x/16
x = 352
Use the distributive property to simplify:
-3(x-6) + 5(y + 2)
-3x + 18 + 5y + 10
Rectangle 1 has side lengths 0.25 and 1. Rectangle 2 has side lengths x and 8. What is the missing side length?
2
Destiny just received 2 gifts from her grandmother. The first is a box of 18 candy bars and the second is a pack of 12 cookies. Destiny wants to use all of the candy bars and cookies to make identical goodie bags for her cousins. What is the greatest number of goodie bags she can make?
6
What is the GCF of 24 and 40?
8
Mary ran 2 miles in about 21 minutes. If she continued to run at the same pace, how long would it take her to run 10 miles?
One hour, 45 minutes
Solve for y:
-20y + 15 = -16y + 13
y = 1/2
Triangle 1 has side lengths 15, 18, and x. Triangle 2 has side lengths 10, 12, and 6. What is the missing side length?
9
Wanda has a watering schedule for her plants. Her cacti get watered every 12 days while her basil gets watered every 3 days. If she watered both sets of plants on March 1, on what date will she water both plants again?
April 6
What is the LCM of 18 and 12?
36
A 2-month membership to the gym costs $125. Jim would like to be a member for 8 months. What is the total amount he will pay for 8 months?
$500
Solve for x:
-3x - 32 = -2(5 - 4x)
x = -2
Trapezoid 1 has a base of 6.5 cm and a side length of 5.2 cm. Trapezoid 2 has a base of 2.5 cm and a side length of y cm. What is the missing side length?
2
There are 72 boys and 90 girls on the math team. For the next competition, Mr. Johnson would like to arrange all of the students with only girls or only boys in each row, and the same number of students in each row. What is the greatest number of students that can be in each row?
18
What is the GCF of 44 and 32?
4
Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?
$58.33
Solve for x:
2(x + 2) - 5 = 3(x + 1)
-4
Triangle 1 has a base of x and a height of 12.5. Triangle 2 has a base of 12 and a height of 5. What is the missing base?
30
Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long will it take him to rake 5 bags?
26.7 minutes