

F25 Alg 1B Lesson 10.3 Discriminant
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
+5
Standards-aligned
Dawn Sterzinger
Used 3+ times
FREE Resource
8 Slides • 20 Questions
1
How many real number solutions can we expect?
2
3
4
Multiple Choice
1 What does the discriminant tell us?
The maximum or minimum
The y-intercept
The number and type of solutions
The axis of symmetry
5
6
Multiple Choice
The discriminant is
ax2 + bx + c
√(b2 - 4ac)
b2 - 4ac
b2 + 4ac
7
Multiple Choice
Which of the following best describes the role of the discriminant in a quadratic equation?
It determines the number and type of solutions.
It gives the vertex of the parabola.
It finds the axis of symmetry.
It calculates the maximum value.
8
Multiple Select
To prepare to do the quadratic formula,
set one side equal to zero:
-2x2 = 7x - 4
-2x2 - 7x + 4 = 0
-2x2 +7x - 4 = 0
-2x2 - 7x - 4 = 0
-2x2 + 7x + 4 = 0
9
Multiple Choice
When in standard form, what is the value of a, b and c in this quadratic?
8x2 + 3x - 6 = 3x
a = 8 b = 0 c = -6
a = 8 b = 6 c = -6
a = 8 b = -6 c = 0
a = 8 b = 3 c = -6
10
11
12
13
Multiple Choice
Determine the value of the discriminant and describe the number and type roots for the following:
x2 + 7x + 13
101, 2 solutions
3, 2 solutions
-101, no solution
-3, no solution
14
Drag and Drop
15
Multiple Choice
Solve for the discriminant of the given equation -2x2 -6x=0
-36
36
0
44
16
Multiple Choice
When in standard form, what is the value of a, b and c in this quadratic?
9x2 + 4x - 6 = -5x + 8
a = 14 b = 4 c = -14
a = 9 b = 9 c = -14
a = 9 b = -1 c = 2
a = 9 b = -9 c = 14
17
Multiple Choice
What is the discriminant and how many solutions would this quadratic have?
-4x2 - 8x - 8 = -4
0, No Solutions
0, 1 Solution
128, 2 Solutions
128, 1 Solution
18
Multiple Choice
For which values of the discriminant will a quadratic equation have two distinct real solutions? Select all that apply.
Positive
Zero
Negative
Complex
19
20
Match
Match the following.
Graph of
Two x-intercepts
One x-intercept
No x - intercept
Two x-intercepts
One x-intercept
No x - intercept
y=ax2+bx+c
21
Multiple Choice
How many solutions are there?
2 imaginary
1 repeated real
2 real
0
22
Multiple Choice
How many solutions are there?
0 real
1 repeated real
2 real
0
23
Multiple Choice
When looking at a quadratic graph, the solution(s) are always the _____________.
y-intercept
vertex
x-intercept(s)
axis of symmetry
24
Multiple Choice
3 For the function above, is the discriminant positive, negative, or zero?
Positive
Negative
Zero
25
Labeling
Label the following
two
one real solution
no
two real solutions
two imaginary solutions
one
26
Dropdown
0 = 11g2−8g+7 .
The solutions are
27
Match
Match the following values of the discriminant to their number of solutions.
x>0
x=0
x<0
2
1
0
2
1
0
28
Labeling
Fill in quadratic formula
2a
b^2
b
-b
-b^2-4ac
b²-4ac
-2a
a^2
4ac-b^2
b^2+4ac
How many real number solutions can we expect?
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