Solve Quadratics by Factoring

Flashcard
•
Mathematics
•
7th - 10th Grade
•
Hard
+1
Standards-aligned
Wayground Content
FREE Resource
Student preview

15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is a quadratic equation?
Back
A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does it mean to factor a quadratic equation?
Back
Factoring a quadratic equation means expressing it as a product of two binomials, such as (x - p)(x - q) = 0, where p and q are the solutions of the equation.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
What are the solutions of the equation (x - 5)(x + 6) = 0?
Back
The solutions are x = 5 and x = -6.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
How do you find the zeros of a quadratic function?
Back
To find the zeros of a quadratic function, set the equation equal to zero and solve for x, either by factoring, using the quadratic formula, or completing the square.
Tags
CCSS.HSF-IF.C.7C
5.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in a quadratic equation?
Back
The discriminant (b² - 4ac) determines the nature of the roots: if it's positive, there are two distinct real roots; if zero, one real root; if negative, two complex roots.
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
What are the steps to solve a quadratic equation by factoring?
Back
1. Write the equation in standard form (ax² + bx + c = 0). 2. Factor the quadratic expression. 3. Set each factor equal to zero. 4. Solve for x.
Tags
CCSS.HSA-REI.B.4B
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
Quadratic Formula

Flashcard
•
8th - 10th Grade
15 questions
Completing the Square Practice

Flashcard
•
8th - 10th Grade
15 questions
Quadratic Graphs

Flashcard
•
7th - 9th Grade
15 questions
Quadratic Graphs

Flashcard
•
7th - 9th Grade
15 questions
Solve Quadratics by Factoring

Flashcard
•
8th - 10th Grade
15 questions
Solving Quadratics by Factoring (a=1, GCF, and Diff. of Squares)

Flashcard
•
7th - 9th Grade
15 questions
Factoring Quadratics

Flashcard
•
8th - 10th Grade
15 questions
Solving Quadratics in Factored Form

Flashcard
•
7th - 9th Grade
Popular Resources on Wayground
10 questions
Video Games

Quiz
•
6th - 12th Grade
20 questions
Brand Labels

Quiz
•
5th - 12th Grade
15 questions
Core 4 of Customer Service - Student Edition

Quiz
•
6th - 8th Grade
15 questions
What is Bullying?- Bullying Lesson Series 6-12

Lesson
•
11th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
22 questions
Adding Integers

Quiz
•
6th Grade
10 questions
Exploring Digital Citizenship Essentials

Interactive video
•
6th - 10th Grade
Discover more resources for Mathematics
15 questions
Subtracting Integers

Quiz
•
7th Grade
20 questions
Multiplying and Dividing Integers

Quiz
•
7th Grade
10 questions
Parallel Lines Cut by a Transversal

Quiz
•
8th Grade
20 questions
Perfect Squares and Square Roots

Quiz
•
7th Grade
20 questions
Adding and Subtracting integers

Quiz
•
7th Grade
15 questions
Solving Multi-step Equations with Variables on Both Sides

Quiz
•
8th Grade
24 questions
3.1 Parallel lines cut by a transversal

Quiz
•
8th Grade
12 questions
Graphing Inequalities on a Number Line

Quiz
•
9th Grade