Discriminant Warmup
Quiz
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Michelle McFerren
Used 4+ times
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6 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The discriminant is
aX2 + bX + c
b - 4ac
b2 - 4ac
b2 + 4ac
Answer explanation
The discriminant of a quadratic equation ax² + bx + c is given by the formula b² - 4ac. This value helps determine the nature of the roots of the equation. Therefore, the correct answer is b² - 4ac.
Tags
CCSS.HSA-REI.B.4B
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
If the discriminant is positive, then the solution will be
one real solution
two real solutions
no real solutions
one imaginary solution
Answer explanation
If the discriminant is positive, it indicates that there are two distinct real solutions to the quadratic equation. Therefore, the correct answer is 'two real solutions'.
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A function has a discriminant of 25.
______________
How many solutions does it have?
0
1
2
5
Answer explanation
A discriminant of 25 indicates that the quadratic equation has two distinct real solutions, as it is positive. Therefore, the correct answer is 2.
Tags
CCSS.HSA-REI.B.4B
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The roots of a quadratic equation are real and equal, then the discriminant is ____.
Zero
Positive and a perfect square
Positive but not a perfect square
Negative
Answer explanation
The discriminant of a quadratic equation is given by b² - 4ac. When the roots are real and equal, the discriminant equals zero, indicating a perfect square. Thus, the correct answer is 'Zero'.
Tags
CCSS.HSA-REI.B.4B
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
If the discriminant is equal to 400, the nature of roots of the quadratic equation is ____.
real and equal
rational and unequal
irrational and unequal
no real roots
Answer explanation
The discriminant (D) of a quadratic equation determines the nature of its roots. A D of 400 is positive and a perfect square, indicating two distinct rational roots. Thus, the correct choice is 'rational and unequal'.
Tags
CCSS.HSA-REI.B.4B
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
If the discriminant is equal to -7, the nature of roots of quadratic equation is ____.
real and equal
rational and unequal
irrational and unequal
no real roots
Answer explanation
The discriminant (D) of a quadratic equation determines the nature of its roots. A negative discriminant, like -7, indicates that there are no real roots, only complex roots. Thus, the correct choice is 'no real roots'.
Tags
CCSS.HSA-REI.B.4B
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