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 mc001-1.jpg.  Which of these must also be a solution to this equation?
a.
mc001-2.jpg
c.
mc001-4.jpg
b.
mc001-3.jpg
d.
mc001-5.jpg
 

 2 

What is the solution set of the equation  mc002-1.jpg  ?
a.
{ -3, 1 }
c.
{ 1 -2i, 1 + 2i }
b.
{ -1, 3 }
d.
{ -1 -2i, -1 + 2i }
 

 3 

Which is the solution set for  mc003-1.jpg  ?
a.
{ 25 }
b.
{ 5 }
c.
{ -5 }
d.
{ -5, 5 }
 

 4 

What is the solution set of  mc004-1.jpg  ?
a.
mc004-2.jpg
b.
mc004-3.jpg
c.
mc004-4.jpg
d.
mc004-5.jpg
 

 5 

Solve mc005-1.jpg
a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6 

Which of the following represents the solution to  mc006-1.jpg?
a.
mc006-2.jpg
b.
mc006-3.jpg
c.
mc006-4.jpg
d.
mc006-5.jpg
 

 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 , mc007-1.jpg  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 

mc009-1.jpg is a solution to which of the following equations?
a.
mc009-2.jpg
c.
mc009-4.jpg
b.
mc009-3.jpg
d.
mc009-5.jpg
 

 10 

Solve  mc010-1.jpg.
a.
mc010-2.jpg
b.
mc010-3.jpg
c.
mc010-4.jpg
d.
mc010-5.jpg
 

 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 mc011-1.jpg. 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 mc012-1.jpg.
a.
mc012-2.jpg
b.
mc012-3.jpg
c.
mc012-4.jpg
d.
mc012-5.jpg
 



 
Check Your Work     Start Over