Math review game

Formulas

100

What is the Pythagorean theorem? 

a² + b² = c²

200

What is the slope formula? 

m = y₂-y₁ / x₂-x₁

300

What is the quadratic formula? 

x = ( -b ± √( b^2 - 4ac ) ) / ( 2a )  

400

What is the continuously compound interest formula?

A = Pe^rt

500

What is the change of base formula? 

log_bM = logM/logb 

Simplify

100

40p³ / 72p²  GCF

5p/9

200

³ √81

3 ³√3

300

√48 x³ y ³

4xy√3xy

400

4x² − 24x + 20 / 2x³− 12x² + 10x

2/x 

500

3x − 1 / 6x 2 + 9x − 4 / 3x

-5x - 13/ 3x(2x + 3) 

Solve

100

3x² − 8x − 16 = 0 (use the quadratic formula)

4, -4/3

200

x² − 12 = 4x

(6,-2)

300

5n² = −200 (square root both sides)

+ or - 2i√10

400

log₄5x² − log₄5 = 5

(32, -32)

500

64⁻³ⁿ = 16⁻³ⁿ (use the change of base formula)

0