complete the square

complete the square

8th - 9th Grade

22 Qs

quiz-placeholder

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complete the square

complete the square

Assessment

Quiz

Mathematics

8th - 9th Grade

Practice Problem

Medium

CCSS
HSA.SSE.A.2, HSA.REI.B.4, HSA.SSE.B.3

+3

Standards-aligned

Created by

Elias Kabeche

Used 38+ times

FREE Resource

About this resource

Journey through the world of quadratic expressions with the "Complete the Square" quiz on Quizizz, crafted by Elias Kabeche for 8th and 9th-grade students. This engaging assessment, aligned with K-12 mathematics curriculum standards, challenges students with 22 multiple-choice questions of medium difficulty. It focuses on the essential algebraic technique of completing the square, testing students' ability to manipulate expressions, solve equations, and convert to vertex form. With time limits on each question, students are encouraged to develop quick recall and a deeper understanding of these fundamental concepts. Mastering the art of completing the square is crucial for young mathematicians, as it lays the groundwork for advanced topics like conic sections and calculus. This quiz helps students practice quizIdentifying the constant term by divquizIding the b-coefficient by 2 and squaring it, moving terms appropriately, and converting quadratic expressions into perfect square trinomials. By regularly engaging with these problems, students enhance their algebraic thinking and fluency, preparing them for more complex mathematical challenges. The skills honed here are not just academic; they are critical thinking tools that students will carry forward into higher-level math and beyond. Teachers and students, get ready to transform your learning experience with Quizizz! This platform makes mastering completing the square an adventure, offering interactive practice that is both fun and effective. With immediate feedback, students can quickly quizIdentify areas for improvement, while personalized learning paths cater to different skill levels. Whether used in the classroom or for independent study, Quizizz supports educators in tracking progress and pinpointing where extra help is needed. Embrace the excitement of learning and let Quizizz turn a challenging topic into an engaging journey of discovery and mastery.

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22 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 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.SSE.A.2

CCSS.HSA.SSE.B.3

2.

MULTIPLE CHOICE QUESTION

15 mins • 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.A.1

CCSS.HSA.REI.B.4

3.

MULTIPLE CHOICE QUESTION

15 mins • 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.A.1

CCSS.HSA.REI.B.4

4.

MULTIPLE CHOICE QUESTION

15 mins • 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.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

5.

MULTIPLE CHOICE QUESTION

15 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.4

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What should be added to both sides of the following equation to complete the square?
x2 + 12x = 5

12
6
36
5

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Complete the square for

x2 + 12x + ____

(find the missing number in the blank)

x2 + 12x + 144

x2 + 12x + 36

x2 + 12x - 36

x2 + +12x - 144

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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