Question 1

Solve the equation $$2y^2 + 4 = 24$ using the square root method. What are the solutions for y$?

Accepted Answer

$$y = \pm 3$$

Question 2

Given $$(x+3)^2 = 16$, what are the solutions for x$?

Accepted Answer

$$x = 1$$ and $$x = -7$$

Question 3

Solve $$(4x-5)^2 - 48 = 0$ using the square root method. What are the solutions for x$?

Accepted Answer

$$x = \frac{5 \pm 4\sqrt{3}}{4}$$

Question 4

Which of the following is the correct first step to solve $$2y^2 + 4 = 24$?

Accepted Answer

Subtract 4 from both sides

Question 5

If $$x^2 = p$, what are the solutions for x$?

Accepted Answer

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

Question 6

A ball is thrown upward and its height in meters after $$t$$ seconds is given by $$h = -4.9t^2$ + 20. At $$what time $$t$$ does the ball reach a height of $$4.9$$ meters?

Accepted Answer

$$t = 2 or$$ $$t = -2$$

Question 7

Which equation is equivalent to $$(x+3)^2 = 16$ after taking the square root of both sides?

Accepted Answer

$$x+3 = \pm 4$$

Question 8

If $$(4x-5)^2 = 48$, what is the next step to solve for x$?

Accepted Answer

Take the square root of both sides

Question 9

Which of the following best describes the square root method for solving quadratic equations?

Accepted Answer

Isolate the squared term, then take the square root of both sides

Question 10

If $$y^2 = 9$, what are the possible values for y$?

Accepted Answer

$$y = 3 or$$ $$y = -3$$

Solving Quadratic Equations by the Square Root Method – College Algebra Study Guide

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