Solve using the Quadratic Formula: $$x^2 + 4x - 40 = -8$$

The solutions are $$x = -8$$ and $$x = 4$$ .

Solve using the Quadratic Formula: $$2x^2 + 2x - 12 = 0$$

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

Solve using the Quadratic Formula: $$x^2 - 6x + 4 = 0$$

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

Solve using the Quadratic Formula: $$2m^2 + 2m - 12 = 0$$

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

Solve using the Quadratic Formula: $$2y^2 + 2 - 9y = 0$$

The solutions are $$y = \frac{9 \pm \sqrt{65}}{4}$$ .

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 significance of the leading coefficient in a quadratic equation?

The leading coefficient (the coefficient of $$x^2$$ ) determines the direction of the parabola: if it is positive, the parabola opens upwards; if negative, it opens downwards.

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

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

What is the standard form of a quadratic equation?

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

What is the factored form of a quadratic equation?

The factored form of a quadratic equation is $$y = a(x - r_1)(x - r_2)$$ , where $$r_1$$ and $$r_2$$ are the roots of the equation.

What is the relationship between the roots and coefficients of a quadratic equation?

For a quadratic equation $$ax^2 + bx + c = 0$$ , the sum of the roots is $$-\frac{b}{a}$$ and the product of the roots is $$\frac{c}{a}$$ .

Quadratic Formula

Flashcard

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA-REI.B.4B, HSF-IF.C.7A, HSA-SSE.B.3B

Standards-aligned

Wayground Content

FREE Resource

Student preview

15 questions

Show all answers

FLASHCARD QUESTION

Front

What is the Quadratic Formula?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation indicate?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

Create a free account and access millions of resources

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

0 questions

Linear Models to Make Predictions

Quiz

•

0 questions

Cube Roots and Perfect Cubes Word Problems

Quiz

•

0 questions

Writing linear Functions Study Guide

Quiz

•

0 questions

Surface Area Cylinder

Quiz

•

0 questions

Adding and Subtracting Multi-Digits

Quiz

•

0 questions

Adding Three Digit Numbers

Quiz

•

0 questions

y = kx

Quiz

•

0 questions

Multi-Step Equations with Variables on One Side

Quiz

•

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

33 questions

Algebra 1 Semester 1 Final 2025

Quiz

•

8th - 10th Grade

10 questions

Exploring Global Holiday Traditions

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Movie by the Scene Challenge

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Songs Challenge

Interactive video

•

6th - 10th Grade

10 questions

Test Your Christmas Trivia Skills

Interactive video

•

6th - 10th Grade

10 questions

Exploring the Grinch's Christmas Heist

Interactive video

•

6th - 10th Grade

10 questions

Exploring Unique Holiday Traditions Worldwide

Interactive video

•

6th - 10th Grade