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Completing the Square

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Completing the Square
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15 questions

Show all answers

1.

DROPDOWN QUESTION

1 min • 1 pt

Given the quadratic function f(x)=x2−14x−36f\left(x\right)=x^2-14x-36 what would the equation look like after converting it into a perfect square?

+ 49

- 49

+ 36

- 36

+ 6

- 6

+ 7

- 7

Tags

CCSS.HSA-REI.B.4B

2.

DRAG AND DROP QUESTION

1 min • 1 pt

Lori is completing the square to solve the quadratic equation. Which equation is the result of correctly completing the square?​

(x−32)2=54\left(x-\frac{3}{2}\right)^2=\frac{5}{4}  

(x−16)2=13\left(x-\frac{1}{6}\right)^2=\frac{1}{3}  

(x+16)2=53\left(x+\frac{1}{6}\right)^2=\frac{5}{3}  

(x+32)2=134\left(x+\frac{3}{2}\right)^2=\frac{13}{4}  

Tags

CCSS.HSA-REI.B.4B

3.

DROPDOWN QUESTION

1 min • 3 pts

When solving the following by completing the square, x2−4x+4=20x^2-4x+4=20 , what goes after the xx in the parenthesis? (x      )2=16\left(x\ \ \ \ \ \ \right)^2=16 ​ (a)  

+2

-2

+4

-4

+8

-8

+20

-20

Tags

CCSS.HSA-REI.B.4B

4.

MATH RESPONSE QUESTION

1 min • 1 pt

When completing the square, what would the factored side of the equation look like for this problem? Hint: it should be in the form of ( )2

x2−22x−71=0x^2-22x-71=0

(x−11)2\left(x-11\right)^2

Mathematical Equivalence

OFF

Tags

CCSS.HSA-REI.B.4B

5.

DRAG AND DROP QUESTION

1 min • 1 pt

Lori is completing the square to solve the quadratic equation. Which equation is the result of correctly completing the square?​

(x−32)2=54\left(x-\frac{3}{2}\right)^2=\frac{5}{4}  

(x−16)2=13\left(x-\frac{1}{6}\right)^2=\frac{1}{3}  

(x+16)2=53\left(x+\frac{1}{6}\right)^2=\frac{5}{3}  

(x+32)2=134\left(x+\frac{3}{2}\right)^2=\frac{13}{4}  

Tags

CCSS.HSA-REI.B.4B

6.

DROPDOWN QUESTION

1 min • 3 pts

When solving the following by completing the square, x2−4x+4=20x^2-4x+4=20 , what goes after the xx in the parenthesis?

+2

-2

+4

-4

+8

-8

+20

-20

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A
B
C
D

Tags

CCSS.8.EE.A.2

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