The document outlines a series of practice tasks to identify quadratic equations and determine their solutions or roots. It provides examples and exercises for students to practice recognizing the standard form of quadratic equations and applying the quadratic formula. The content is divided into modules, with each module concluding with a confirmation of readiness for the next level.

1. Prepared by: Ms. Babylyn Clacio Datio

2. Objectives:
•
•
•

7. Practice Tasks:
Given Equation Quadratic Equation or NOT
1. 𝟒𝒙(𝒙 + 𝟖) = 𝟏𝟓
2. 𝒙𝟑 + 𝟓𝒙 – 𝟐𝟔 = 𝟎
3. 𝟑(𝒎 – 𝟏𝟒) = 𝟎
4. 𝟐𝒕(𝒕 – 𝟕) = − 𝟑𝒕
5. (𝒙 – 𝟕)( 𝒙 + 𝟕) = 𝟎

8. Practice Tasks:
Given Equation Quadratic Equation or NOT
1. 𝟒𝒙(𝒙 + 𝟖) = 𝟏𝟓 Quadratic Equation
2. 𝒙𝟑
+ 𝟓𝒙 – 𝟐𝟔 = 𝟎 Not Quadratic Equation
3. 𝟑(𝒎 – 𝟏𝟒) = 𝟎 Not Quadratic Equation
4. 𝟐𝒕(𝒕 – 𝟕) = − 𝟑𝒕 Quadratic Equation
5. (𝒙 – 𝟕)( 𝒙 + 𝟕) = 𝟎 Quadratic Equation

10. Practice Tasks: (5 minutes)
Quadratic Equation a𝒙𝟐
+ b𝒙 + c = 0 a b c
Example:
3 + 4𝒔𝟐
= 15𝒔
4𝒔𝟐
-15𝒔 + 3 = 0
or -4𝒔𝟐
+ 15𝒔 - 3 = 0
4
-4
-15
15
3
-3
1. 6𝒔 – 2𝒔𝟐
= 0
2. 𝟑𝒙(𝒙 + 𝟓) – 𝟏𝟐 = 𝟎

11. Practice Tasks: (5 minutes)
Quadratic Equation a𝒙𝟐
+ b𝒙 + c = 0 a b c
Example:
3 + 4𝒔𝟐
= 15𝒔
4𝒔𝟐
-15𝒔 + 3 = 0
or -4𝒔𝟐
+ 15𝒔 - 3 = 0
4
-4
-15
15
3
-3
1. 6𝒔 – 2𝒔𝟐
= 0 – 2𝒔𝟐
+ 6𝒔 = 0
or 2𝒔𝟐
- 6𝒔 = 0
-2
2
6
-6
0
0
2. 𝟑𝒙(𝒙 + 𝟓) – 𝟏𝟐 = 𝟎 3𝒙𝟐
+ 15x - 12 = 0
or -3𝒙𝟐
- 15x + 12 = 0
3
-3
15
-15
-12
12

12. Congratulations!
You have completed Module 1.
You are now ready for Module 2.

16. ONE

21. Practice Tasks:
Equation Number of Solutions/Roots
1.𝒙𝟐 – 𝟐𝟓 = 𝟎
2.𝒕𝟐
= 𝟎
3.𝒔𝟐 + 𝟏𝟔 = 𝟎

22. Practice Tasks:
Equation Number of Solutions/Roots
1.𝒙𝟐 – 𝟐𝟓 = 𝟎 Two Solutions
2.𝒕𝟐
= 𝟎 One Solution
3.𝒔𝟐 + 𝟏𝟔 = 𝟎 No Real Roots or Solutions

29. Practice Tasks: (5 minutes)
Quadratic Equation Solutions/Roots
1.𝟓(𝒙 − 𝟐)𝟐 = 𝟐𝟎
2.𝟑𝒙𝟐
= 𝟐𝟕
3.𝒔𝟐 − 𝟏𝟐 = 𝟎

30. Practice Tasks: (5 minutes)
Quadratic Equation Solutions/Roots
1.𝟓(𝒙 − 𝟐)𝟐 = 𝟐𝟎 𝑥 = 4 𝑜𝑟 𝑥 = 0
2.𝟑𝒙𝟐
= 𝟐𝟕 𝑥 = 3 𝑜𝑟 𝑥 = −3
3.𝒔𝟐 − 𝟏𝟐 = 𝟎 𝑠 = 2 3 𝑜𝑟 𝑠 = −2 3

31. Congratulations!
You have completed Module 2.
You are now ready for Module 3.