Solving Quadratic Equations: Square Root Property

Question 1

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

Revolt · Accepted Answer

B: x = and x =

Question 2

What are the roots of f(x) = x2 – 48?

Revolt · Accepted Answer

D: and

Question 3

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

Revolt · Accepted Answer

B: ; C: 3

Question 4

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

Revolt · Accepted Answer

C: x = and x =

Question 5

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?

Revolt · Accepted Answer

A: 5 inches by 5 inches

Question 6

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

Revolt · Accepted Answer

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

Question 7

4✔ 81632

Revolt · Accepted Answer

B: ✔ 8

Question 8

–32–16✔ –8–4

Revolt · Accepted Answer

C: ✔ –8

Question 9

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.

Revolt · Accepted Answer

C: ✔ 6

Question 10

2024✔ 3649

Revolt · Accepted Answer

C: ✔ 36

Solving Quadratic Equations: Square Root Property Answers

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