Simplifying & Factoring Expressions

Combine like terms

100

2a + b -2b  + ab

2a - b + ab

200

2x³ + 4(x³ - x²) - (x + x²)

6x³ - 5x² - x

300

2(x + 2x² + xy) - 1/3(3x + 6xy)

x + 4x² 

400

-7(n + 3) - 8(1 + 8n)

-71n - 29

500

-8y+3y(-2y+x)-4y²+x(2y-5)

5yx-10y²-8y-5x

Factor GCF

100

4x + 2

2(2x + 1)

200

x(x + 1) + (x + 1)

(x + 1)(x + 1)

300

3x(x - 2) + 2(-x + 2)

(x + 2)(3x - 2)

400

(3x - 4)² - 5(3x - 4)

(3x - 4)(3x - 9)

500

10a³b⁴-6a²b⁶+5ab-3b³

b(5a-3b²)(2a²b³+1)

Expand Expressions

100

x(x + 2)

x² + 2x

200

(5x - 7)(5x + 7)

25x² - 49

300

(8p - 2)(6p + 2)

48p² +4p -4

400

(7k - 3)(k² - 2k + 7)

7k³ - 17k² + 55k - 21

500

(2x-5)³

8x³-20x²+50x-125

Factor Quadratics

100

x² + 4x + 4

(x + 2)²

200

2x² + 2x - 40

2(x + 5)(x - 4)

300

4x² - 49y²

(2x + 7y)(2x - 7y)

400

6x² + 7x -3

(2x + 3)(3x - 1)

500

-17x+20x²-63

(4x-9)(5x+7)

Pop Culture

100

Calypso gave birth to these creatures in Game of Thrones

What are dragons?

200

What is the meaning of the term "Love" in the sport of tennis?

What is Zero?

300

The supervillain known as The Joker is the archenemy of which superhero?

Who is Batman

400

Where Ms. Sahin from is

Turkey

500

This is the highest paid celebrity in 2019

Who is Taylor Swift?