Quadratic Equations Jeopardy

THE QUADRATIC EQUATION

100

What is the quadratic formula?

x = "negative b plus or minus the square root of b squared minus 4ac all over 2a"

200

Find the roots of 2x² + 3x - 5 = 0

What is x = 1 or x = -5/2

300

Using the quadratic formula, find the roots of 2x = x² - 3

What is x = 3 or x = -1

400

Using the quadratic formula, find the roots of x² -6x = -9

What is x = 3

500

Using the quadratic formula, find the roots of x² + 3x - 7 = 0

What is "-3 plus or minus the square root of 37 all over 2"

Quadratic Or not

100

x²+4x-9=0

Yes 

200

x² + 4y = 21 

No

300

(-1/x²)+5x=2

Not quadratic — 1/x² means x is in the denominator, not standard quadratic form)

400

(x²+3)²=16

No

(Not purely quadratic — expanding gives x⁴ terms; it’s quartic)

500

y=(x^1/2+3)²

No

(Not quadratic — because x^1/2 is a square root, not x²)

Find the equivalent quadratic equation

100

Find the equivalent quadratic equation in the form ax²+bx+c=0 , (x+3)(x-5)=7

x²-2x-22=0

200

Rewrite each equation into standard quadratic form (x-4)²=5

x²-8x+11=0

300

What is the equivalent quadratic equation of (2x-1)(x+5)=12

2x²+9x-5=12

2x²+9x-17=0

400

Rewrite each equation into standard quadratic form (2x+1)(x-3)=4

2x²-5x-7=0

500

Rewrite each equation into standard quadratic form:  -2(x+1)(x-2)=3

-2x²+2x+1=0