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Completing The Square

Completing The Square

Completing the Square

Completing the Square

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

Completing the Square

Math 2

2

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.

$\left(x-6\right)^2$

Hint: Multiply in the BOX.

1

$x^2-12x+36$

2

$x^2+12x-36$

3

$x^2+36$

4

$2x^2-36$

4

Math Response

Give the product.

$\left(x-8\right)^2$

Type answer here

Correct Answer: x^2-16x+64

Deg^°

Rad

5

Math Response

Give the product.

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

Type answer here

Correct Answer: x^2+6x+9

Deg^°

Rad

6

Math Response

Give the product.

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

Type answer here

Correct Answer: x^2+14x+49

Deg^°

Rad

7

Math Response

Give the missing number.

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

Type answer here

Correct Answer: 14

Deg^°

Rad

8

Math Response

Give the missing number.

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

Type answer here

Correct Answer: 4

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

Correct Answer: 25

Deg^°

Rad

13

Math Response

What number would make this a perfect square?

x² - 12x + ____

Type answer here

Correct Answer: 36

Deg^°

Rad

14

Math Response

What number would make this a perfect square?

x² + ____x + 25

Type answer here

Correct Answer: 10

Deg^°

Rad

15

Math Response

What number would make this a perfect square?

x² + ____x + 100

Type answer here

Correct Answer: 20

Deg^°

Rad

16

Math Response

What number would make this a perfect square?

x² + ____x + 144

Type answer here

Correct Answer: 24

Deg^°

Rad

17

Solving Quadratics by Completing the Square

18

Solving Quadratics by Completing the Square

Move c to other side of equation.
Write the perfect square format
(x + ___)²= _______
Put half of b in first blank and the squared of b on the second.
Solve by taking the square root of both sides and adding.

19

Solving Quadratics by Completing the Square

Move c to other side of equation.
Write the perfect square format
(x + ___)²= _______
Put half of b in first blank and the squared of b on the second.
Solve by taking the square root of both sides and adding.

20

Solving Quadratics by Completing the Square

Move c to other side of equation.
Write the perfect square format
(x + ___)²= _______
Put half of b in first blank and the squared of b on the second.
Solve by taking the square root of both sides and adding.

21

Solving Quadratics by Completing the Square

22

Solving Quadratics by Completing the Square

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Completing the Square

Math 2

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