GCF/LCM and Factoring

Factor out the GCF 1

100

10ab + 5a

5a(2b + 1)

200

12x²y + 18xy² + 36xy

6xy(2x + 3y + 6)

300

14x²y² + 7xy + 28y

7y(2x²y + x + 4)

400

78x²y³ - 12xy² + 24y³

6y²(13x²y - 2x + 4y)

500

12a³b - 18a²b² + 9a³b²

3a²b(4a - 6b + 3ab)

Factor out the GCF 2

100

234x + 62y

2(117x + 31y)

200

15xyz + 21xy

3xy(5z + 7)

300

42ab² - 14b²

14b²(3a - 1)

400

14ab + 42a²b - 56ab²

14ab(1 + 3a - 4b) 

500

26x³y³ - 78x²y⁴ + 182x³y⁴

26x²y³(x - 3y + 7xy)

Find the Greatest Common Factor

100

What is the greatest common factor of  3y, 12xy, and 15x

3

200

What is the greatest common factor of 16a, 24a²b, and 20b?

4

300

What is the greatest factor of 72x², 23y³, and 144x²y?

1

400

What is the great common factor of 50b², 35a²b, and 15a³b²?

5b

500

What is the greatest common factor of 16xy²z, 64xyz, and 80y²z²?

16yz

Find the Least Common Multiple

100

What is the least common multiple of 3 and 7x?

21x

200

What is the least common multiple of 4x, 6x², and 9?

36x²

300

What is the least common multiple of 2z, 3x², and 5xy?

30x²yz

400

What is the least common multiple of 20ab³, 5a, and 12c²?

60ab³c²

500

What is the least common multiple of 21 and 24?

168

Multiplying Polynomials Review

100

Simplify: 

7x²y(x - 3y)

7x³y - 21x²y²

200

Find the Product:

(3x - 7) (2x + 5)

6x² + x - 35

300

Simplify:

(2x-5)²

4x² - 20x + 25

400

simplify:

(x+2) (2x² - 4x + 1)

2x³ - 7x + 2

500

Simplify:

(3x² - 2x + 9) (4x² + 5x - 2)

12x⁴ + 7x³ + 20x² + 49x - 18