WorksheetsThe Discriminant
Total questions: 16
Worksheet time: 1hrs 20mins
What does the discriminant tell us?
The maximum or minimum
The y-intercept
The number and type of solutions. (x-intercepts)
The axis of symmetry
For the function above, is the discriminant positive, negative, or zero?
For the function above, is the discriminant positive, negative, or zero?
If the discriminant is positive, then the solution will be
one real solution
two real solutions
no real solutions
one imaginary solution
______________
How many x-intercepts does it have?
If the discriminant is equal to 0, how many solutions are there?
No real solutions
1 Real Solution
2 Real Solutions
Infinite solutions
If the discriminant is equal to 10, how many solutions are there?
2 Real, Irrational Solutions
1 Real Solution
2 Real Rational Solutions
No Real Solutions
If the discriminant is equal to 49, how many solutions are there?
No Real Solutions
1 Real Solution
2 Real, Rational Solutions
2 Real, Irrational Solutions
What is the discriminant and how many solutions would this quadratic have?
x2 - 6x + 9 = 0
0, No Solutions
0, 1 Solution
72, 2 Solutions
-72, No Solution
What is the discriminant and how many solutions would this quadratic have?
-8x2 + 6x - 4 = 0
-92, No Solutions
164, 2 Solutions
-164, No Solutions
92, 2 Solutions
What is the discriminant and how many solutions would this quadratic have?
4x2 + x - 4 = 0
-15, No Solutions
65, 2 real irrational solutions
64, 2 real rational solutions
-65, no solutions
What is the discriminant of this equation and how many solutions would this quadratic have??
3x2 + 8x = 0
64, 2 real rational solutions
52, 2 real irrational solutions
9, 2 real rational solutions
0, no solutions
What is the discriminant of this equation and how many solutions would this quadratic have??
-5x2 - 6 = 0
120, 2 real irrational solutions
36, 2 real rational solutions
16, 2 real rational solutions
-120, no real solutions
What is the discriminant and how many solutions would this quadratic have? HINT - get into standard form first
-3x2 - 5x + 15 = 7
205, 2 real irrational solutions
-71, No Solutions
121, 2 real rational solutions
121, 1 real rational solution
Determine the value of the discriminant and name the nature of the solutions for the following:
x2 + 2x = 6
25 - 2 reals rational solutionsl
-20 - no solutions
26 - 2 real irrational solutions
28 - 2 real irrational solutions
