Solving Quadratic Equations Review
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
Standards-aligned
Nicole Baker
Used 4+ times
FREE Resource
7 Slides • 8 Questions
1
Solving Quadratic Equations
A quadratic equation can be solved by multiple methods
Some text here about the topic of discussion
2
The following are all methods to solve a quadratic equation:
Graphing
Factoring
Square Root Property
Completing the Square
Quadratic Formula
Subject | Subject
Some text here about the topic of discussion
3
Multiple Choice
Which of the following is not a method to solve a quadratic equation?
Factoring
Finding the Vertex
Graphing
Quadratic Formula
4
Solving by Graphing
The solution to a quadratic equation set = 0 is the x-intercepts of the equation.
This is the graph of y = x2 + 2x - 5
The solutions to x2 + 2x - 5 = 0
are where the graph crosses the x-axis
x = -3 and x = 1
Subject | Subject
Some text here about the topic of discussion
5
Multiple Choice
This is the graph of y = x2 - x - 2.
What are the solutions to
x2 - x - 2 = 0 ?
x = -2
x = -1 and x = 2
x = 1 and x = -2
No Solutions
6
Factoring
Solve x2 - 7x = -12 by factoring
x2 - 7x + 12 = 0 Set = 0
(x - 3)(x - 4) = 0 Factor
x - 3 = 0 or x - 4 = 0 Set each factor = 0
x = 3 or x = 4 Solve each equation for x
Solutions are: x = 3 or x = 4
7
Multiple Choice
Solve the following equation by factoring
x2+8x + 12 = 0
x = 2 or x = 6
x = -2 or x = -6
x = 3 or x = 5
x = -3 or x = -5
8
Factoring out GCF
Solve 2x2 - 12x = 0 by factoring
2x(x - 6) = 0 Factor out GCF
2x = 0 or x - 6 = 0 Set each factor = 0
x = 0 or x = 6 Solve each equation for x
Solutions are: x = 0 or x = 6
9
Multiple Choice
Solve the following equation by factoring
x2+8x= 0
x = 8
x = 0 or x = 8
x = -8
x = 0 or x = -8
10
Square Root Property
11
Multiple Choice
Solve the following equation by using the square root property
x2− 36 = 0
x = 18
x = 0 or x = 6
x = 6
x = 6 or x = -6
12
Complete the Square
13
Multiple Choice
What value of c needs to be added to make the following a perfect square
x2 + 6x
3
6
9
36
14
Multiple Choice
Write the following as a perfect square
x2−12x + 36
(x − 6)2
(x−12)2
(x+6)2
(x+3)2
15
Multiple Choice
Solve the following equation by using the square root property
x2− 6x = 5
x = 6+5 or x = 6−5
x= 3+14 or x=3−14
x=3+5 or x=3−5
x=6+14 or x=6−14
Solving Quadratic Equations
A quadratic equation can be solved by multiple methods
Some text here about the topic of discussion
Show answer
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