Battle of the Brains: Algebra Edition

Solve It

100

2x + 5 = 11

x = 3

200

3x + 7 = x + 15  

x = 4

300

5x − 6 = 2x + 9

x = 5

400

4x + 3 = 3x + 11

x = 8

500

6x − 5 = 2x + 19

x = 6

Distribute It

100

2(x + 3)  

2x + 6

200

3(x + 5)

3x + 15

300

4(x + 2) + x

5x + 8

400

5(x + 3) + 2x

7x + 15

500

3(x + 4) + 2(x + 1)

5x + 14

GCF & LCM

100

GCF of 12 and 18

6

200

GCF of 12x² and 18x

6x

300

LCM of 8x² and 6x

24x²

400

GCF of 20x³ and 30x²

10x²

500

LCM of 18x³ and 12x²

36x³

Exponent Rules

100

Simplify: x³ · x²

x⁵

200

Simplify: x⁶/ x²

x⁴

300

Simplify: (x³)²

8x⁶

400

Simplify: (2x⁷)³

8x²¹

500

(3x⁻²)² · x⁵

9x

Factoring (GCF)

100

12x + 18

6(2x + 3)

200

10x² + 15x

5x (2x + 3)

300

18x² − 6x  

6x (3x - 1)

400

8x²y + 12xy

4xy(2x + 3)

500

20x³y² − 10xy³

10xy² (2x² - y)