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Solving Quadratic Equations by Completing the Square

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Solving Quadratic Equations by Completing the Square
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18 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the following quadratics equation by completing the square...


x2 - 10x - 5 = 0

x = -5 ± √30

x = 5 ± √30

x = 30 ± √5

x = -30 ± √5

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve by completing the square.
x2 +12x = 5

X = 6 + √41 or  6 − √41

X= 35 or 47

X = −6 + √41 or  −6 − √41

X = √35 or √47

Tags

CCSS.HSA-REI.B.4B

3.

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?​

Tags

CCSS.HSA-REI.B.4B

4.

DROPDOWN QUESTION

1 min • 1 pt

8

64

16

4

256

Tags

CCSS.HSA-REI.B.4B

5.

DRAG AND DROP QUESTION

1 min • 1 pt

x2 + 10x = -9 Steps to solve by completing the square are:

Take half of 10 and square it.

Add 25 to both sides.

Solve the perfect square trinomial

Take the square root of both sides

Solve for x to get a solution.

Take half of -9 and add to both sides.

Divide all terms by 10

Set equal to zero.

Tags

CCSS.HSA-REI.B.4B

6.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Tags

CCSS.HSA-REI.B.4B

7.

DROPDOWN QUESTION

1 min • 1 pt

Kevin wants to solve the equation by completing the square. What values complete the equation?

8

64

16

4

256

Tags

CCSS.HSA-REI.B.4B

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