Complete the Square

Complete the Square

9th - 12th Grade

13 Qs

quiz-placeholder

Similar activities

Bilangan Bulat

Bilangan Bulat

11th Grade

10 Qs

LOGARITHMS

LOGARITHMS

9th - 12th Grade

12 Qs

Medidas de Posición_A

Medidas de Posición_A

12th Grade

16 Qs

REMOVAL OF BRACKETS INTRODUCTION

REMOVAL OF BRACKETS INTRODUCTION

8th - 10th Grade

10 Qs

KUIS STATISTIKA AWAL BAG.2

KUIS STATISTIKA AWAL BAG.2

12th Grade

15 Qs

SUMA DE ÁNGULOS DE TRIÁNGULOS

SUMA DE ÁNGULOS DE TRIÁNGULOS

6th - 12th Grade

10 Qs

Radicales 3º ESO

Radicales 3º ESO

9th Grade

15 Qs

Matemática Básica I

Matemática Básica I

12th Grade

10 Qs

Complete the Square

Complete the Square

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
HSA-REI.B.4B, HSN.RN.A.2, HSN.RN.A.1

Standards-aligned

Created by

Erin Muse _ Staff - SalemMS

Used 808+ times

FREE Resource

About this resource

This quiz focuses on the algebraic technique of completing the square for solving quadratic equations, targeted at the high school Algebra II level, typically grades 9-12. Students need a solid understanding of quadratic expressions, factoring perfect square trinomials, and manipulating algebraic equations to master this content. The questions systematically build from the foundational mechanics of completing the square—such as transforming the linear coefficient and isolating variable terms—to applying the complete process for solving various forms of quadratic equations. Students must demonstrate proficiency with radical simplification, understanding when to apply the plus-or-minus symbol, and working with equations that have both rational and irrational solutions. The complexity progresses from basic procedural steps to multi-step problem solving that requires students to combine completing the square with other algebraic skills. Created by Erin Muse, a Mathematics teacher in the US who teaches grades 9-12. This quiz serves as an excellent formative assessment tool to gauge student understanding of completing the square before moving to more advanced quadratic applications. Teachers can use this as a warm-up activity to review the method, as guided practice during instruction, or as homework to reinforce the step-by-step process students learned in class. The variety of question types—from conceptual understanding to procedural application—makes it valuable for identifying specific areas where students need additional support. This assessment aligns with standards A-REI.B.4, which requires students to solve quadratic equations by completing the square, and A-APR.B.3, which involves understanding the relationship between zeros and factors of polynomials.

See more

AI

Enhance your content in a minute

Add similar questions
Adjust reading levels
Convert to real-world scenario
Translate activity
More...

13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What do you do to the b value to correctly complete the square?

square it
divide it by 2 and square the result
divide it by 2 and take the square root of the result
divide it by 2 only

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x

the -4x
the 9
the x2

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0

Set the equation equal to zero
Divide 10 by 2 and add the result to both sides
Add a2 and 10a together
Subtract the 21

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20

4
2
8
20

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

When do you use the plus or minus symbol?
±

After taking the square root of both sides
After adding the square to both sides
After taking half of b
After setting the equation equal to zero

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is one of the solutions to this equation?
(2x - 1)2 = 49

7
-7
-4
-3

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve the following equation by completing the square:
n2 - 2n - 3 = 0

{3, -1}
{4, -4}
{5, -3}
{8, -7}

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

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?