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Completing the Square

Completing the Square

Assessment

Presentation

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSA-REI.B.4B, HSA.APR.C.4, HSA.APR.A.1

Standards-aligned

Created by

David Ho

Used 2+ times

FREE Resource

9 Slides • 13 Questions

1

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Completing the Square

Math 2

2

media

EQ: Thursday, November 30, 2023

  • How do I find Complete the Square for a Quadratic Expression?

3

Multiple Choice

Question image

Give the product as a trinomial.

(x−6)2\left(x-6\right)^2

Hint: Multiply in the BOX.

1

x2−12x+36x^2-12x+36

2

x2+12x−36x^2+12x-36

3

x2+36x^2+36

4

2x2−362x^2-36

4

Math Response

Give the product.

(x−8)2\left(x-8\right)^2

Type answer here
Deg°
Rad

5

Math Response

Give the product.

(x+3)2\left(x+3\right)^2

Type answer here
Deg°
Rad

6

Math Response

Give the product.

(x+7)2\left(x+7\right)^2

Type answer here
Deg°
Rad

7

Math Response

Give the missing number.

(x+7)2=x2+…x+49\left(x+7\right)^2=x^2+\ldots x+49

Type answer here
Deg°
Rad

8

Math Response

Give the missing number.

(x+7)2=x2+14x+…\left(x+7\right)^2=x^2+14x+\ldots

Type answer here
Deg°
Rad

9

​This trinomial is called a Perfect Square because it can be written as a squared binomial.

10

Multiple Choice

What number would make this a perfect square?

x2 + 8x + ____

1

64

2

16

3

4

11

Multiple Choice

What number would make this a perfect square?

x2 + 6x + ____

1

9

2

36

3

12

4

60

12

Math Response

What number would make this a perfect square?

x2 + 10x + ____

Type answer here
Deg°
Rad

13

Math Response

What number would make this a perfect square?

x2 - 12x + ____

Type answer here
Deg°
Rad

14

Math Response

What number would make this a perfect square?

x2 + ____x + 25

Type answer here
Deg°
Rad

15

Math Response

What number would make this a perfect square?

x2 + ____x + 100

Type answer here
Deg°
Rad

16

Math Response

What number would make this a perfect square?

x2 + ____x + 144

Type answer here
Deg°
Rad

17

​Solving Quadratics by Completing the Square

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18

​Solving Quadratics by Completing the Square

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​

  1. ​​Move c to other side of equation.

  2. Write the perfect square format

    (x + ___)2 = _______

  3. Put half of b in first blank and the squared of b on the second.

  4. Solve by taking the square root of both sides and adding.

19

​Solving Quadratics by Completing the Square

​

  1. ​​Move c to other side of equation.

  2. Write the perfect square format

    (x + ___)2 = _______

  3. Put half of b in first blank and the squared of b on the second.

  4. Solve by taking the square root of both sides and adding.

media

20

​Solving Quadratics by Completing the Square

​

  1. ​​Move c to other side of equation.

  2. Write the perfect square format

    (x + ___)2 = _______

  3. Put half of b in first blank and the squared of b on the second.

  4. Solve by taking the square root of both sides and adding.

media

21

​Solving Quadratics by Completing the Square

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22

​Solving Quadratics by Completing the Square

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Completing the Square

Math 2

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