Solving Equations Application

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4

• -4 & 10

• -8 & 4

• 8 & -4

Solve by factoring

• -4, 2

• -2, 4

• -16

• -4

Solve using the Quadratic Formula:

2x² + 2x − 12 = 0

• x = −2, 3

• x = 2, 3

• x = 2, −3

• x = −2, −3

Solve by factoring. (HINT: Factor GCF 1st)

• x = 3, x = -6

• x = 0, x = 2

• x = 2, x = 3

• x = -2, x = 1

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t² + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

Solve by completing the square. 
 x² − 10x - 11= 0

• x = −1 and 11

• x = 1 and −11

• x = −10 and 11

• x = −5 and 25

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Solve the equation:
4x²+2x - 6 = 0

• x = 1 & -1.5

• x = -1 & 1.5

• x = (-2 ±√92)/8

• x = (-2 ± √100)/8

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.
h = -5t² + 45 
When is the ball at ground level?

• only at t = 0 seconds 

• only at t = 3 seconds

• only at t = 9 seconds

• at both t = 0 seconds and t = 3 seconds

Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to spend exactly $80. How many miles can he drive?

• 500 miles

• 80 miles

• 250 miles

• 833 miles