What is a quadratic equation?

A quadratic equation is a polynomial equation of degree 2, typically in the form $$ax^2 + bx + c = 0$$ where @@a eq 0@@.

What are the coefficients in a quadratic equation?

In the quadratic equation $$ax^2 + bx + c = 0$$ , $$a$$ is the coefficient of $$x^2$$ , $$b$$ is the coefficient of $$x$$ , and $$c$$ is the constant term.

What does it mean if the discriminant is zero?

If the discriminant is zero, the quadratic equation has exactly 1 real solution (a repeated root).

How do you determine if a quadratic equation has complex solutions?

If the discriminant is negative (i.e., $$b^2 - 4ac

What is the vertex of a parabola represented by a quadratic equation?

The vertex of the parabola represented by the quadratic equation $$y = ax^2 + bx + c$$ can be found at the point $$igg(-\frac{b}{2a}, figg(-\frac{b}{2a}igg)$$ .

What is the axis of symmetry in a quadratic function?

The axis of symmetry of a quadratic function $$y = ax^2 + bx + c$$ is the vertical line given by $$x = -\frac{b}{2a}$$ .

What is the significance of the leading coefficient in a quadratic equation?

The leading coefficient $$a$$ determines the direction of the parabola: if $$a > 0$$ , the parabola opens upwards; if $$a

How can you factor a quadratic equation?

A quadratic equation can be factored into the form $$(px + q)(rx + s) = 0$$ if it can be expressed as a product of two binomials.

Quadratic Formula Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the Quadratic Formula?

Back

Tags

CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

Front

What does the discriminant tell us about the roots of a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

If the discriminant is positive, how many real solutions does the quadratic equation have?

Back

2 Real Solutions.

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

Solve the quadratic equation: 2x^2 + 7x - 15 = 0

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

Solve the quadratic equation: 3x^2 + 3x + 3 = 0

Back

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

6.

FLASHCARD QUESTION

Front

What is the formula for the discriminant?

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

Use the quadratic formula to solve: 2x^2 + 2x - 12 = 0

Back

Tags

CCSS.HSA-REI.B.4B

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

15 questions

Flashcard - Unit Conversion and Practical Use

Flashcard

•

KG - University

9 questions

matematika kelas xi

Flashcard

•

11th Grade

15 questions

5.4 Costs Flashcards

Flashcard

•

12th Grade

10 questions

DNA Flashcards

Flashcard

•

9th - 12th Grade

11 questions

Identify Parts of an Algebraic Expression and Evaluate

Flashcard

•

9th Grade

16 questions

Hand Rules

Flashcard

•

12th Grade

7 questions

Places

Flashcard

•

KG - University

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Mathematics

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

27 questions

7.2.3 Quadrilateral Properties

Quiz

•

9th - 12th Grade

10 questions

Key Features of Quadratic Functions

Interactive video

•

8th - 12th Grade

11 questions

Exponent Quotient Rules A1 U7

Quiz

•

9th - 12th Grade

18 questions

Integer Operations

Quiz

•

5th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems

Quiz

•

9th - 12th Grade

10 questions

complementary and Supplementary angles

Quiz

•

9th - 12th Grade