Quadratic Solutions by Completing the Square

Quadratic Solutions by Completing the Square

10th Grade

14 Qs

quiz-placeholder

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Quadratic Solutions by Completing the Square

Quadratic Solutions by Completing the Square

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

CCSS
HSA-REI.B.4B

Standards-aligned

Created by

Anthony Clark

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14 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

When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20

4

2

8

20

Tags

CCSS.HSA-REI.B.4B

3.

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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is one of the solutions to this equation?
(2x - 1)2 = 49

7

-7

-4

-3

Tags

CCSS.HSA-REI.B.4B

5.

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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the following quadratics equation by completing the square... x2 + 4x + 1 = 0

x = -2 ± √3

x = -3 ± √2

x = 2 ± √3

x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

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


x2 + 4x - 1 = 0

x = -2 ± √5

x = -5 ± √2

x = 2 ± √5

x = -5 ± √5

Tags

CCSS.HSA-REI.B.4B

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