Name:    AII.4b - Solving Quadratic Equations

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1

A solution to a quadratic equation is .  Which of these must also be a solution to this equation?
 a. c. b. d.

2

What is the solution set of the equation    ?
 a. { -3, 1 } c. { 1 -2i, 1 + 2i } b. { -1, 3 } d. { -1 -2i, -1 + 2i }

3

Which is the solution set for    ?
 a. { 25 } b. { 5 } c. { -5 } d. { -5, 5 }

4

What is the solution set of    ?
 a. b. c. d.

5

Solve
 a. c. b. d.

6

Which of the following represents the solution to  ?
 a. b. c. d.

7

A car is traveling at 26 meters per second (m/sec) begins to decelerate at -13 m/sec.   After traveling 26 m, the driver brings the car to a complete stop.  The equation ,   can be used to represent the situation, where t is the time it takes to stop.   How long did it take the driver to stop the car?
 a. 0.8 seconds c. 6.5 seconds b. 2 seconds d. 10.7 seconds

8

A rectangular garden is currently 4 meters wide and 7 meters long.  If the area of the garden is to be doubled by increasing the width and length by the same number of meters, find the new dimensions of the garden.
 a. 6.1 m x 9.1 m c. 6.2 m x 9 m b. 6 m x 9.3 m d. 8 m x 14 m

9

is a solution to which of the following equations?
 a. c. b. d.

10

Solve  .
 a. b. c. d.

11

A model rocket is launched into the air at an initial velocity of 80 ft/s.  The height at any given time (t) of the model rocket can be determined using the formula . Determine how long it will take the rocket to return to ground level.
 a. 1.5 seconds c. 4.3 seconds b. 2 seconds d. 5 seconds

12

Solve .
 a. b. c. d.