Solving Quadratic Equations Jeopardy Template

Factoring

Difference of Squares

Completing the Square

Quadratic Formula

Rational/ Irrational

100

Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0

x = 7 x = -2

100

Solve the following quadratic equation by using square roots: x² = 4

x = 2 x = -2

100

Solve the following quadratic equation by completing the square: x² + 6x = -8

x = -2 x = -4

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

100

What is a rational number?

A real number

Any fraction with a non-zero denominator

Any decimal that terminates

Any decimal that repeats

200

Rewrite the quadratic equation in factored form:

x²+ x - 20 = 0

(x - 4) (x + 5) =0

200

Solve the following quadratic equation by using differences of squares

x² - 121 = 0

+11 or -11

200

Solve the following quadratic equation by completing the square: x² - 6x = -5

x = 1 x = 5

200

Solve the following quadratic equation by using the quadratic formula: x² + 6x + 5 = 0

x = -1 x = -5

200

Which of the following are NOT rational?

a) 0.666

b) 8.3

c) 2.3438279011042984765309

d) 16

2.3438279011042984765309

300

If the equation x(2x+4)=0 is true

What are the solutions?

x= 0

x= -2

300

Solve the following quadratic equation by using difference of squares: 4x² - 400 = 0

x = 10 x = -10

300

Solve the following quadratic equation by completing the square: x² - 2x - 24 = 0

x = -4 x = 6

300

Solve the following quadratic equation by using the quadratic formula: x² - 9x + 20 = 0

x = 5 x = 4

300

True or False

The SUM (+) of a rational number and a rational number is SOMETIMES rational.

False; ALWAYS

400

Solve the following quadratic equation by factoring. x² - 6x + 5 = 0

x = 5 x = 1

400

Solve the following quadratic equation by using difference of squares: x² -9 = -8

1 or -1

400

Solve the following quadratic equation by completing the square: x² + 10x +16 = 0

x = -2 x = -8

400

Solve the following quadratic equation by using the quadratic formula: 2x² + 9x + 4 = 0

x = -1/2 x = -4

400

True or False

The sum of a rational and irrational number is ALWAYS irrational.

False; NEVER

500

Solve the following quadratic equation by factoring. x² - 6x - 27 = 0

x = 9 x = -3

500

Solve the following quadratic equation by using difference of squares: 5x² + 3 = 128

x = 5 x = -5

500

Solve the following quadratic equation by completing the square: 2x² - 8x = 10

x = 5 x = -1

500

Solve the following quadratic equation by using the quadratic formula: 4x² - 17x - 15 = 0

x = 5 x = -3/4

500

True or False

The product (x) of a rational number and an irrational number is ALWAYS irrational.

True; ALWAYS