6; Selection 1: 6; Selection 2: 36

16; Selection 1: 16; Selection 2: 0

6; Selection 1: 6; Selection 2: 36

Lesson 2: Solving Quadratic Equations: Square…

1

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Solve x2 – 64 = 0. Isolate x2: x2 = 64 Apply the square root property of equality: Isolate the variable: x = x =

Answers:

Selection 1:8

Selection 2:–8

2

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02/34/34

Answer not available

81852

4567

A

4

B

5

C

6

D

7

81853

20243649

Answer not available

81854

What are the solutions of the quadratic equation 49x2 = 9?

A

x = and x =

B

x = and x =

C

x = and x =

D

x = and x =

81855

What are the roots of f(x) = x2 – 48?

A

–48 and 48

B

–24 and 24

C

and

D

and

81856

What are the possible values of x if (4x – 5)2 = 49? Check all that apply. StartFraction negative 4 Over 5 EndFraction StartFraction negative 1 Over 2 EndFraction 357

A

Option

B

Option

C

3

D

5

E

7

81857

Solve for x if 2(5x + 2)2 = 48.

A

x = and x =

B

x = and x =

C

x = and x =

D

x = and x =

81858

Joaquin has created a small treasure map that is in the shape of a square. He decides to make a larger version of the map, and on this new map he increases each side by 6 inches. The area of this larger version of the map is 121 square inches. What are the dimensions of his original, smaller map?

A

5 inches by 5 inches

B

8 inches by 8 inches

C

11 inches by 11 inches

D

17 inches by 17 inches

81859

Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make a gravel border. After he completes his gravel border, the area of the new garden is 25 feet2. In the equation (x - 1)2 = 25, x represents the side measure of the original garden.

Answers:

Sonya found that x = is one solution of (6x + 4)2 = . The other solution is x = .:16

Sonya found that x = is one solution of (6x + 4)2 = . The other solution is x = .:0

81860

–16–8816

A

–16

B

–8

C

8

D

16

81861

Analyze Marika’s steps. Which statement is true about her work?

A

In step 2, Marika should have simplified to be .

B

There are no real solutions to this equation because the square root of a negative number is not a real number.

C

There should be two real solutions to this equation because = .

D

Marika correctly solved this equation.

81862

Question text not available

Answer not available

81866

What are the solutions of the quadratic equation 49x2 = 9?

A

x = [image 1] and x = [image 2]

B

x = [image 1] and x = [image 2]

C

x = [image 1] and x = [image 2]

D

x = [image 1] and x = [image 2]

81868

What are the roots of f(x) = x2 – 48?

Answer not available

81869

What are the possible values of x if (4x – 5)2 = 49? Check all that apply. [image 1] [image 2] 357

A

Option

B

Option

C

3

D

5

E

7

81870

Solve for x if 2(5x + 2)2 = 48.

A

x = [image 1] and x = [image 2]

B

x = [image 1] and x = [image 2]

C

x = [image 1] and x = [image 2]

D

x = [image 1] and x = [image 2]

81871

Joaquin has created a small treasure map that is in the shape of a square. He decides to make a larger version of the map, and on this new map he increases each side by 6 inches. The area of this larger version of the map is 121 square inches. What are the dimensions of his original, smaller map?

A

5 inches by 5 inches

B

8 inches by 8 inches

C

11 inches by 11 inches

D

17 inches by 17 inches

81872

Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make a gravel border. After he completes his gravel border, the area of the new garden is 25 feet2. In the equation (x - 1)2 = 25, x represents the side measure of the original garden. The length of each side of the original garden was feet. The area of the original garden was feet2.

Answers:

Selection 1:6

Selection 2:36

81874

Sonya found that x = is one solution of (6x + 4)2 = . The other solution is x = .

Answers:

Selection 1:16

Selection 2:0

Lesson 2: Solving Quadratic Equations: Square Root Property Answers

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