
Review Solving Quadratics
Presentation
•
Mathematics
•
10th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
5 Slides • 11 Questions
1
Solving Quadratic Equations Review
2
Multiple Choice
0 and 4
0 and -4
0
-4
3
Multiple Choice
What are the solutions for this graph?
0 and 8
-2 and -4
3 and -1
2 and 4
4
Multiple Choice
y-intercepts
vertex
x-intercepts
maximum
5
Quadratic Equation
6
Multiple Select
Which of the following are quadratic equations?
2x+5=7
x2+5x−24=0
2x2−5=11
x2+3y−4=0
7
Solving Quadratic Equations
There are lots of different methods to find the roots of a quadratic equation. Here are a few:
by graphing
by factoring
using the Quadratic formula
8
Multiple Choice
Solve this quadratic equation by factoring:
0=x2+6x−16
x=2, x=8
x=−2, x=−8
x=−2, x=8
x=2, x=−8
9
Fill in the Blanks
10
Quadratic Formula
The quadratic formula is a powerful tool for finding the roots of any quadratic equation.
11
Multiple Choice
Use the quadratic formula to find the roots of this equation: x2+3x=5
2−3±29
23±29
2−3±−11
23±−11
12
The Discriminant
The discriminant is part of the quadratic formula. It tells you how many roots a quadratic equation has.
D = b2 - 4ac
D>0 2 real distinct roots
D=0 2 real equal roots
D<0 No real roots
13
Fill in the Blanks
14
Fill in the Blanks
15
Multiple Choice
How many real solutions does the quadratic have?
No real solutions
Two real equal solutions
Two real distinct solutions
16
Multiple Choice
How many real solutions does the quadratic have?
No real solutions
Two real equal solutions
Two real distinct solutions
Solving Quadratic Equations Review
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