Solving Quadratic Equations

Factoring

100

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

x = 7 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

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: x² - 9x + 20 = 0

x = 5 x = 4

400

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

x = -1/2 x = -4

500

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

x = 5 x = -3/4

Mystery

100

What is our student teacher's last name?

Konyer

200

Name all the planets in order.

Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.

300

Is dihydrogen monoxide poisonous? 

NO!

400

What is the only continent without reptiles or snakes?

Antarctica

500

What unusual engineering feature made the Cobourg and Peterborough Railway project famous?

A railway bridge built on wooden trestles across Rice Lake

Word Problems

100

Two numbers differ by seven.  If the numbers are squared and then added, the result is 137.  What are the numbers?

4 and 11. -11 and -4

200

A baseball is tossed from the top of a 3m wall.  The path of the baseball is defined by the formula  y = -x2+2x+3, where x represents the distance the ball has travelled, and y represents the height.  How far has the ball travelled when it hits the ground?

Discard x=-1. x=3

300

The area of the front cover of a daily journal is 273 cm^2, and the length is 5 less than twice the width. What are the dimensions of the cover?

x=13. therefore, 13cm and 21 cm

400

The hypotenuse of a right triangle measures 10m. One of the other two sides is 2m longer than the third side. Find the unknown side lengths.

6m and 8m.

500

Two consecutive integers are added. The square of their sum is 361. What are the integers?

9 and 10 AND -9 and -10