Solve using the quadratic formula: $$2x^2 + 2x - 12 = 0$$

The solutions are $$x = 2, -3$$ .

Solve using the quadratic formula: $$x^2 + 4x + 3 = 0$$

The solutions are $$x = -1, -3$$ .

Solve using the quadratic formula: $$x^2 - 6x + 4 = 0$$

The solutions are $$x = 3 \pm \sqrt{5}$$ .

Solve using the quadratic formula: $$9x^2 - 7x - 4 = 0$$

The solutions are $$x = \frac{7 \pm \sqrt{169}}{18}$$ .

Solve using the quadratic formula: $$2m^2 + 2m - 12 = 0$$

The solutions are $$m = 2, -3$$ .

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 $$a, b,$$ and $$c$$ are constants and $$a \neq 0$$ .

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

The vertex of a parabola represented by the quadratic equation $$y = ax^2 + bx + c$$ can be found using the formula $$x = -\frac{b}{2a}$$ .

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 standard form of a quadratic equation?

The standard form of a quadratic equation is $$ax^2 + bx + c = 0$$ , where $$a, b, c$$ are constants and $$a \neq 0$$ .

How can you determine if a quadratic equation has real solutions?

You can determine if a quadratic equation has real solutions by evaluating the discriminant $$D = b^2 - 4ac$$ . If D >= 0, the equation has real solutions.

Quadratic Formula Flashcards

Student preview

14 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 of a quadratic equation indicate?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

How do you rearrange a quadratic equation to use the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

What is the significance of the coefficients a, b, and c in the quadratic formula?

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

9 questions

Trigonometric Ratios - Recap For Math Q4 W1

Flashcard

•

9th Grade

11 questions

Monomios e Polinomios

Flashcard

•

8th Grade

10 questions

Decay and Growth Functions

Flashcard

•

9th Grade

10 questions

Essential Housework Tasks

Flashcard

•

10th Grade

10 questions

Vocabulary Flashcards

Flashcard

•

10th Grade

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

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

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

16 questions

Converting Improper Fractions to Mixed Numbers

Quiz

•

4th - 10th Grade

10 questions

Simplifying Expressions by Combining Like Terms

Interactive video

•

6th - 10th Grade

10 questions

Simplifying Expressions with the Distributive Property

Interactive video

•

6th - 10th Grade

10 questions

Key Features of Quadratic Functions

Interactive video

•

8th - 12th Grade