
Solving Quadratic Equations
Presentation
•
Mathematics
•
9th Grade
•
Medium
Rosalyn Calapitche
Used 125+ times
FREE Resource
9 Slides • 14 Questions
1
Solving Quadratic Equations
Extracting Square Roots
Factoring
Completing the Square
Quadratic Formula
2
Open Ended
Based on the figure below, what is a quadratic equation?
3
Quadratic Equation
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.
4
5
6
Multiple Select
Choose what are the examples of quadratic equations in the following:
a2+2a−4
2x+2x−6
y3−2y2+1=0
2b2−4b+5
7
Extracting Square Roots
Square root both sides
Affix
± (positive and negative signs)
8
Multiple Choice
Solve for x using extracting square roots:
12516=u254
±54
±54
9
Multiple Choice
Solve for x using extracting square roots
3r2=40±2310
±340
2340
10
Multiple Choice
Solve for x using extracting square roots
n2=39±930
±39
±39
11
Factoring
Look at the first and last terms
Find two numbers that if you multiply will gives the last term.
Test if you add them will give you the middle term.
12
Multiple Choice
What are the factors of a quadratic equation
p2+3p−4(p+4)(p−1)
(p−4)(p+1)
(p+2)(p−2)
13
Multiple Choice
What are the factors of quadratic equation
2y2+7y+3(2y+3)(y+1)
(2y+7)(y−1)
(2y+1)(y+3)
14
Multiple Choice
What are the values of x in the quadratic equation
x2−2x+1 using factoring?x = 1; x = 1
x=1; x =−1
x=−1; x=−1
15
Completing the Square
Move all the constant to another side
Add
(2b)2 to both sidesFactor and Solve
16
Multiple Choice
What are the roots of this quadratic equation
r2+12r+32 using the completing the square?x=−4; x=−8
x=4; x=−8
x=4; x=8
17
Multiple Choice
Give the number must be added to the both sides to complete the square.
t2+4t+ ____ =5+ ___2
3
4
18
Multiple Choice
x2+8x−20=0 , what are the roots of this quadratic equation?
x=2; x=−10
x=−2; x=10
x =−2; x=−10
19
Quadratic Formula
Get the values of a, b and c
Substitute to the formula
Factor and Solve.
20
Quadratic Formula
Get the values of a, b and c
Substitute to the formula
Factor and Solve.
21
Multiple Choice
x2+2x−3
What are the values in this quadratic equation
a=1, b=2, c =−3
a = 0, b =−2, c=−3
a=1, b=2, c=3
22
Multiple Choice
y2+7y+10
, what are the roots of this quadratic equation?
x=2; x=−5
x =−2; x=−5
x=−2; x=5
23
Open Ended
What did you learn this day?
Solving Quadratic Equations
Extracting Square Roots
Factoring
Completing the Square
Quadratic Formula
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