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Solve by Completing the Square Practice

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Solve by Completing the Square Practice
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve by completing the square:
k2 − 12k + 23 = 0

{6 + √13, 6 - √13}

{-6 + √13, -6 - √13}

{6 + √59, 6 - √59}

{-6 + √59, -6 - √59}

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which line contains a mathematical error when completing the square?

Line 1

Line 2

Line 3

Line 4

There is no error

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The work above shows the first two steps to solve by completing the square. Which description correctly describes the error that was made?

They needed to add -1 to both sides.

They needed to factor out the 2 so a = 1.

They needed to take the square root of 4 first.

They needed to add 4 to both sides.

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which line contains a mathematical error when completing the square?

Line 1

Line 2

Line 3

Line 4

Line 5

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the following quadratic equation by completing the square:

2x2 -3x = -4

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Mr. Jones wants to solve the quadratic equation by completing the square. What values will go in the Box A and Box B? Write the values in the boxes.

Box A = 4

Box B = 4

Box A = 16

Box B = 16

Box A = 4

Box B = 16

Box A = 8

Box B = 64

Box A = 8

Box B = 16

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

What is the correct order for solving quadratic equations by completing the square.

Move the constant to the right side.

Factor the perfect square trinomial

Write two equations and solve

Tags

CCSS.HSA-REI.B.4B

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