Name: 
 

Solving Quadratics by Using the Quadratic Formula



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Find the exact solution of the following quadratic equation by using the Quadratic Formula.
 

 1. 

mc001-1.jpg – 7mc001-2.jpg mc001-3.jpg 60
a.
{–12, 5}
c.
{–10, 24}
b.
{–5, 12}
d.
{60, 67}
 

 2. 

mc002-1.jpg + 7mc002-2.jpg + 11 mc002-3.jpg
a.
mc002-7.jpg
c.
mc002-9.jpg
b.
mc002-8.jpg
d.
mc002-10.jpg
 
 
Find the value of the discriminant. Then describe the number and type of roots for the equation.
 

 3. 

–4mc003-1.jpg – 14mc003-2.jpg + 3 mc003-3.jpg 0
a.
The discriminant is 244. Because the discriminant is greater than 0 and is not a perfect square, the roots are real and irrational.
b.
The discriminant is –244. Because the discriminant is less than 0, the two roots are complex.
c.
The discriminant is –148. Because the discriminant is less than 0, the two roots are complex.
d.
The discriminant is 196. Because the discriminant is greater than 0 and is a perfect square, the two roots are real and rational.
 

 4. 

mc004-1.jpg – 3mc004-2.jpg + 8 mc004-3.jpg 0
a.
The discriminant is –41.
Because the discriminant is less than 0, the two roots are complex.
b.
The discriminant is –23.
Because the discriminant is less than 0, the two roots are complex.
c.
The discriminant is 23.
Because the discriminant is greater than 0 and is a perfect square, the two roots are real and rational.
d.
The discriminant is 9.
Because the discriminant is greater than 0 and is a perfect square, the two roots are real and rational.
 

 5. 

What is the solution set for mc005-1.jpg?
a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6. 

What are the solutions of mc006-1.jpg?
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 

 7. 

Which equation has two real, irrational solutions?
a.
mc007-1.jpg
c.
mc007-3.jpg
b.
mc007-2.jpg
d.
mc007-4.jpg
 



 
Check Your Work     Start Over