Solving Quadratics

problems and questions

100

Name given to the graph of a quadratic function

Parabola

200

Any polynomial with a exponent of 2

Quadratic 

300

Solutions of a quadratics are called:

Roots, X-intercepts and zeros

400

The height of an underhand volleyball serve can be modeled by h(x)= -15x²+30x  where h is feet’s and x it’s time in seconds. Find 

At 2 seconds

500

The width of a rectangle is 3 units less than the length and the area is 40. Write the equation that modeled this situation.

x (x - 3) = 40

By Square Root

100

x²= 144

x = 12

x = -12

200

4x² - 196 = 0

x = 7

x = -7

300

5(x² - 3) = 10

x = 2.2

x = -2.2

400

3(x² - 1) + 7 = 34

x = 4

x = -2

500

5(x+1)² - 15 = 110

x = 4

x = -5

by Factoring

100

3x² - 18x = 0

x = 0

x = 6

200

(x - 3) ( x + 4) = 0

x = 3

x = -4

400

4x² - 9x + 5 = 0

x = 5/4

x = 1

500

2x² - 5x - 12 =0

x = 4

x = -3/2

by completing

100

x² - 6x = - 3

x = 5.4

x = 0.6

200

9x²  + 21x - 12x - 28 = 0

(Write your answer in Fractions)

x = -7/3

x = 4/3

300

x² + 4x - 12 = 0

x = 2

x = -6

500

x² - 8x + 3 = 0

x = 7.6

x = 0.4

by Quadratic Formula

100

x² + 5x - 1 = 0

x = 0.19

x = 5.19

200

2x² - 2x - 12

x = -2

x = 3

300

9x² + 9x - 28 = 0

x = - 2.3

x = 1.3

400

6x² + x - 2 = 0

x = 1/2 = 0.5

x = -2/3 = 0.66

500

-16x² + 95 x - 100 = 0

x = - 1.36

x = - 4.56