Name: 
 

Warmups Topic 6.5



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 
 
Find the value of the discriminant. Then describe the number and type of roots for the equation.
 

 1. 

–4warmups_topic_6_5_files/i0030000.jpg – 14warmups_topic_6_5_files/i0030001.jpg + 3 warmups_topic_6_5_files/i0030002.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.
 

 2. 

warmups_topic_6_5_files/i0040000.jpg – 3warmups_topic_6_5_files/i0040001.jpg + 8 warmups_topic_6_5_files/i0040002.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.
 
 
Find the exact solution of the following quadratic equation by using the Quadratic Formula.
 

 3. 

warmups_topic_6_5_files/i0060000.jpg + 7warmups_topic_6_5_files/i0060001.jpg + 11 warmups_topic_6_5_files/i0060002.jpg
a.
warmups_topic_6_5_files/i0060003.jpg
c.
warmups_topic_6_5_files/i0060004.jpg
b.
warmups_topic_6_5_files/i0060005.jpg
d.
warmups_topic_6_5_files/i0060006.jpg
 

 4. 

warmups_topic_6_5_files/i0070000.jpg – 7warmups_topic_6_5_files/i0070001.jpg warmups_topic_6_5_files/i0070002.jpg 60
a.
{–12, 5}
c.
{–10, 24}
b.
{–5, 12}
d.
{60, 67}
 

 5. 

warmups_topic_6_5_files/i0080000.jpg – 6warmups_topic_6_5_files/i0080001.jpg warmups_topic_6_5_files/i0080002.jpg 16
a.
{16, 22}
c.
{–8, 2}
b.
{–4, 16}
d.
{–2, 8}
 



 
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