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Completing the Square

Authored by Jesse Allen

Mathematics

8th - 11th Grade

CCSS covered

Used 15+ times

Completing the Square
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39 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is a perfect square trinomial?

a trinomial where every number is a perfect square

a trinomial that has two different factors

a trinomial that factors as one factor squared

a trinomial with perfect square solutions

Tags

CCSS.HSA.APR.C.4

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Are all trinomials perfect square trinomials?

yes

no

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What do we call the process of adding in a new 'c' value to a binomial to create a perfect square trinomial?

adding c

factoring

making things up

completing the square

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

For the binomial x2+bxx^2+bx , what 'c' value should we add to complete the square?

1717  

−b2a-\frac{b}{2a}  

b2\frac{b}{2}  

(b2)2\left(\frac{b}{2}\right)^2  

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

By adding (b2)2\left(\frac{b}{2}\right)^2   to the binomial x2+bxx^2+bx  , how will the new perfect square trinomial x2+bx+(b2)2x^2+bx+\left(\frac{b}{2}\right)^2   factor?

(x+b2)2\left(x+\frac{b}{2}\right)^2  

(x+b2)(x−b2)\left(x+\frac{b}{2}\right)\left(x-\frac{b}{2}\right)

(x+b)(x−b)\left(x+b\right)\left(x-b\right)

(x+b)2\left(x+b\right)^2  

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the first step to completing the square on the left side of the equation x2+8x−9=0x^2+8x-9=0  ?

factor the left

add 9

subtract 9

divide by 8

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

After adding 9 to both sides of the previous equation, we have x2+8x=9x^2+8x=9  . What is the next step to complete the square?

subtract 8x8x  

use square roots

add (b2)2\left(\frac{b}{2}\right)^2   to both sides of the equation

add (b2)\left(\frac{b}{2}\right)   to both sides of the equation

Tags

CCSS.HSA-REI.B.4B

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