What is the process of completing the square for the equation $$x^2 + 6x = 5$$ ?

To complete the square, rewrite the equation as $$(x + 3)^2 = 14$$ .

Identify the equivalent expression for the perfect square trinomial $$x^2 - 18x + 81$$ .

The equivalent expression is $$(x - 9)^2$$ .

What is the standard form of a complex number?

The standard form is $$a + bi$$ , where $$a$$ is the real part and $$b$$ is the imaginary part.

How do you multiply two complex numbers?

Use the distributive property and apply the fact that $$i^2 = -1$$ .

What is the quadratic formula?

The quadratic formula is $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ for the equation $$ax^2 + bx + c = 0$$ .

What does it mean for a quadratic equation to have real solutions?

A quadratic equation has real solutions if the discriminant $$b^2 - 4ac$$ is greater than or equal to zero.

What is the vertex form of a quadratic equation?

The vertex form is $$y = a(x - h)^2 + k$$ , where (h, k) is the vertex.

How do you find the vertex of a parabola given in standard form?

The vertex can be found using the formula $$(-\frac{b}{2a}, f(-\frac{b}{2a}))$$ .

What is the significance of the discriminant in a quadratic equation?

The discriminant determines the nature of the roots: two distinct real roots, one real root, or two complex roots.

5.1/5.2 FLASHCARD

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA-REI.B.4B, HSN.CN.A.2, HSA.APR.C.4

Standards-aligned

Wayground Content

FREE Resource

Student preview

15 questions

Show all answers

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Simplify the expression: ( 10 + 15i ) - ( 48 - 30i )

Back

Tags

CCSS.HSN.CN.A.2

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSN.CN.A.1

FLASHCARD QUESTION

Front

Find the sum of the complex numbers: ( 5 - 2i ) + ( -7 + 8i )

Back

Tags

CCSS.HSN.CN.A.2

FLASHCARD QUESTION

Front

What is a perfect square trinomial?

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

How do you simplify a complex number?

Back

Combine the real parts and the imaginary parts separately.

Tags

CCSS.HSN.CN.A.2

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

commas in a series

Flashcard

•

KG - University

10 questions

Animal Adaptations Flashcard

Flashcard

•

KG - University

15 questions

Function Flashcard

Flashcard

•

8th - 12th Grade

10 questions

الوجهات السّياحيّة

Flashcard

•

7th Grade - University

10 questions

High Note 2. Unit 1. Test your vocabulary

Flashcard

•

10th Grade

10 questions

Essential Statistics Concepts

Flashcard

•

12th Grade

11 questions

Climate Change and Its Causes

Flashcard

•

9 questions

Inequalities

Flashcard

•

9th 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

54 questions

Analyzing Line Graphs & Tables

Quiz

•

4th 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

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

18 questions

SAT Prep: Ratios, Proportions, & Percents

Quiz

•

9th - 10th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

12 questions

Parallel Lines Cut by a Transversal

Quiz

•

10th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

15 questions

Combine Like Terms and Distributive Property

Quiz

•

8th - 9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

10 questions

Elijah McCoy: Innovations and Impact in Black History

Interactive video

•

6th - 10th Grade