How do you solve $$x^2 - 49 = 0$$ using the Square Root Method?

Set $$x^2 = 49$$ , then take the square root: $$x = \pm 7$$ .

What are the roots of the equation $$a^2 + 10a - 24 = 0$$ when solved by graphing?

The roots are $$a = -12$$ and $$a = 2$$ .

What is the general form of a quadratic equation?

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

What is the purpose of graphing a quadratic equation?

Graphing a quadratic equation helps visualize the parabola and identify the x-intercepts, which are the solutions to the equation.

What does it mean for a quadratic equation to have no solution?

A quadratic equation has no solution when the discriminant is negative, indicating that the parabola does not intersect the x-axis.

What is the vertex of a parabola?

The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens. It can be found using the formula $$x = -\frac{b}{2a}$$ .

How can you verify the solutions of a quadratic equation?

You can verify the solutions by substituting them back into the original equation to see if they satisfy it.

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

The sum of the roots is given by $$-\frac{b}{a}$$ and the product of the roots is given by $$\frac{c}{a}$$ .

What is the difference between real and complex roots?

Real roots are solutions that can be plotted on the number line, while complex roots involve imaginary numbers and cannot be represented on the number line.

Solving Quadratics Review of all Methods 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

How do you set a quadratic equation to zero?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic equation?

Back

4.

FLASHCARD QUESTION

Front

What is the Square Root Method?

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

What is the Completing the Square method?

Back

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

What is the significance of the discriminant in the Quadratic Formula?

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

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

10 questions

Secondary storage

Flashcard

•

9th - 11th Grade

16 questions

Compounds some, any, no, every

Flashcard

•

8th - 9th Grade

12 questions

Organic 2 Exam 4 Review

Flashcard

•

KG

8 questions

CHILDREN 2 (1ST CLASS)

Flashcard

•

KG

11 questions

3D Design Vocabulary Flashcard

Flashcard

•

10th Grade

15 questions

Functions

Flashcard

•

8th Grade

12 questions

WORD FORMATION - NOUN/VERB/ADJECTIVE

Flashcard

•

10th Grade

13 questions

Regular and Irregular Verbs

Flashcard

•

10th Grade

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

22 questions

School Wide Vocab Group 1 Master

Quiz

•

6th - 8th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

12 questions

What makes Nebraska's government unique?

Quiz

•

4th - 5th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Exponential Functions Key Features

Quiz

•

9th Grade

11 questions

Adding and Subtracting Polynomials

Quiz

•

9th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

20 questions

Box and Whisker Plots

Quiz

•

9th Grade

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

15 questions

Graphing Inequalities

Quiz

•

7th - 9th Grade

21 questions

Factoring Trinomials (a=1)

Quiz

•

9th Grade