Factor Trees, Multiples, GCF and LCM
Perfect Squares and Cubes
Expanding Binomials
Word Problems
100
What are the first 5 multiples of 5?
5, 10, 15, 20, 25
100
Determine the square root of 441 using prime factorization.
21
100
Multiply
(x+1)(x+1)
x^2+2x+1
100
Amy has 12 packets of sugar and 18 packets of artificial sweetener. She wants to divide them into identical groups, with no packets left over, so that the groups can be distributed to some tables at the restaurant where she works. What is the greatest number of groups Amy can make?
6 groups
200
Write 80 as a product of its prime factors.
24 x 5
200
Determine the cube root of 512 using prime factorization.
8
200
Multiply
(x-6)(x+2)
x^2-4x-12
200
By coincidence, Mateo's Obedience School trained the same number of dogs and cats last week. The school teaches dogs in groups of 8 and cats in groups of 9. What is the smallest number of cats the school could have had?
72 cats
300
What is the GCF of 180 and 224?
4
300
Is 64 a perfect square, perfect cube, or neither? Use prime factorization.
Perfect square and perfect cube.
300
Multiply
(x-5)(3x-4)
3x^2-19x+20
300
Determine the side length of the square.
22mm
400
What is the LCM of 21 and 45?
315
400
Is 180 a perfect square, perfect cube, or neither? Use prime factorization.
Neither
400
Multiply
(2x-1)(3x+5)
6x^2+7x-5
400
Determine the surface area of the cube.
1994in2
500
What is the GCF and LCM of 20, 36, and 38?
GCF: 2
LCM: 3420
500
Is 1000 a perfect square, perfect cube, or neither? Use prime factorization.
Perfect Cube
500
Multiply
(-2x+1)(3x-2)
-6x^2+7x-2
500
Determine the area of the triangle.
2x^2+3x-2