Solving Quadratics by Completing the Square

Solving Quadratics by Completing the Square

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSA-REI.B.4B, 8.EE.A.2

Standards-aligned

Created by

Rhonda Smith

Used 549+ times

FREE Resource

Student preview

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10 questions

Show all answers

1.

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

2.

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

3.

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

4.

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

5.

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.8.EE.A.2

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Write the following quadratic expression in completed square form...

x2 + 6x = 5

(x + 3)2 = 5

(x + 6)2 = 9

(x + 3)2 = 14

(x + 6)2 = 14

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the following quadratic expression in completed square form...


x2 + 4x + 10

(x + 4)2 + 6

(x + 2)2 + 6

(x + 4)2 - 6

(x + 2)2 - 6

Tags

CCSS.HSA-REI.B.4B

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