Question 1

Which of the following equations is most appropriate to solve using the square root property rather than factoring?

Accepted Answer

$$x^2 = 25$

Question 2

What is the first step when solving $$2x^2 - 16 = 0$ using the square root property?

Accepted Answer

Divide both sides by 2

Question 3

Solve $$\left(x - \frac{3}{2}\$$right)^2$$ = 5$$ using the square root property.

Accepted Answer

$$x = \frac{3}{2} \pm \sqrt{5}$$

Question 4

If $$x^2 + 4 = 0$, what type of solutions will you get using the square root property?

Accepted Answer

Two imaginary solutions

Question 5

Which of the following is the correct solution to $$x^2 = -9$?

Accepted Answer

$$x = \pm 3i$$

Question 6

A ball is dropped from a height such that its height $$h$$ after $$t$$ seconds is given by $$h = 100 - 16t^2$. When does the ball hit the ground?

Accepted Answer

$$t = \sqrt{100/16}$$

Question 7

Which step is NOT part of the square root property method?

Accepted Answer

Set the equation equal to zero and factor

Question 8

Given $$4(x-2)^2 = 36$, what is the value of x$?

Accepted Answer

$$x = 2 \pm \frac{3}{2}$$

Question 9

If $$x^2 - 12 = 0$, what are the solutions?

Accepted Answer

$$x = \pm \sqrt{12}$$

Question 10

Which of the following best describes when you will always get a complex answer using the square root property?

Accepted Answer

When the squared term equals a negative number

Question 11

Solve $$3(x+1)^2 = 27$ for x$.

Accepted Answer

$$x = -1 \pm 3$$

Question 12

Which of the following is a necessary condition for using the square root property?

Accepted Answer

The variable must be isolated and squared

Question 13

If $$x^2 + 6x + 9 = 0$, which method is most efficient to solve this equation?

Accepted Answer

Factoring

Question 14

Solve $$x^2 = 0$.

Accepted Answer

$$x = 0$$

Question 15

A medical researcher models the spread of a virus with $$n^2 = 49$, where n$ is the number of days after exposure when symptoms appear. What are the possible values for n$?

Accepted Answer

$$n = \pm 7$$

Solving Quadratic Equations: The Square Root Property

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