Solving Quadratic Equations

Factoring

100

Solve. (2x - 7)(x + 2) = 0

x = 7/2 x = -2

200

Solve the following quadratic equation by factoring. x²+3x+2 = 0

x = -2 x = -1

300

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

x = 5 x = 1

400

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

x = 9 x = -3

500

Solve the following quadratic equation by factoring. 2x² - 5x - 3 = 0

x = -1/2 x = 3

Square Roots

100

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

x = 2 x = -2

200

Solve the following quadratic equation by using square roots: x² = 121

+11 or -11

300

Solve the following quadratic equation by using square roots: 4x² + 400 = 0

x = 10i x = -10i

400

Solve the following quadratic equation by using square roots: x² -9 = -1

x = "positive or negative two times the square root of 2"

500

Solve the following quadratic equation by using square roots: 2(x + 3)² = 160

x = "negative 3 plus or minus four times the square root of 5"

Completing the Square

100

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

x = -2 x = -4

200

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

x = 1 x = 5

300

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

x = -4 x = 6

400

Solve the following quadratic equation by using square roots: 2(x + 3)² = 160

x= "-3 plus or minus four times the square root of 5"

500

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

x = 5 x = -1

Quadratic Formula

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

200

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

x = -1 x = -5

300

Solve the following quadratic equation by using the quadratic formula: 4x² - 11x - 20 = 0

x = -5/4 x = 4

400

Write the standard form quadratic equation that has the solutions: x = 5 x = -3/4 

4x² - 17x - 15 = 0

500

Write the standard form quadratic equation that has the solutions: x = 2 + 3i, 2 - 3i

x²-4x+13=0

Trivia Time!

100

What does "www" stand for at the beginning of a URL?

World Wide Web

200

Who was the first woman to win the Nobel Prize?

Marie Curie

300

Besides water, what is the most-consumed beverage in the world?

Tea

400

What animal would you find on the logo of a Porsche automobile?

Horse.

500

On this day, November 13, in the year 1850, the author of Treasure Island and Dr. Jekyll and Mr. Hyde was born in Scotland. Who is he?

Robert Louis Stevenson