Question 1

Which of the following is the correct factorization of $$4m^2 + 20mn$$ + $$25n^2$$?

Accepted Answer

$$(2m + 5n)^2$

Question 2

What is the result when factoring $$9p^2 - 60p + 100$?

Accepted Answer

$$(3p - 10)^2$

Question 3

Which expression is equivalent to $$4xy^2 - 56y + 16$ after factoring?

Accepted Answer

$$4x(y - 2)^2$

Question 4

What is the correct factorization of $$x^2 - 25$?

Accepted Answer

$$(x + 5)(x - 5)$$

Question 5

If $$y^2 - 81 = 0$, what are the solutions for y$?

Accepted Answer

$$y = 9 or$$ $$y = -9$$

Question 6

Which of the following is the correct solution to $$x^2 - 13x + 42 = 0$?

Accepted Answer

$$x = 6 or$$ $$x = 7$$

Question 7

What is the solution to $$x^2 - 7x = 0$?

Accepted Answer

$$x = 0 or$$ $$x = 7$$

Question 8

Which of the following is the correct solution to $$x^2 + 7x - 30 = 0$?

Accepted Answer

$$x = -10 or$$ $$x = 3$$

Question 9

What is the solution to $$2x^2 + 13x + 21 = 0$?

Accepted Answer

$$x = -3 or$$ $$x = -7$$

Question 10

If $$x^2 = 100$, what are the possible values for x$?

Accepted Answer

$$x = 10 or$$ $$x = -10$$

Question 11

Solve $$x^2 = 25$ using the square root property.

Accepted Answer

$$x = 5 or$$ $$x = -5$$

Question 12

What is the solution to $$x^2 = -81$?

Accepted Answer

$$x = 9i or$$ $$x = -9i$$

Question 13

Which of the following is the correct solution to $$x^2 - 2x - 35 = 0$?

Accepted Answer

$$x = 7 or$$ $$x = -5$$

Question 14

What is the solution to $$x^2 - 15x + 13 = 0$?

Accepted Answer

$$x = rac{15 + 	ext{sqrt}(169 - 52)}{2} or$$ $$x = rac{15 - 	ext{sqrt}(169 - 52)}{2}$$

Question 15

Which of the following is the correct solution to $$x^2 - 5x = 0$?

Accepted Answer

$$x = 0 or$$ $$x = 5$$

Question 16

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

Accepted Answer

$$x = 0 or$$ $$x = 2$$

Question 17

What is the solution to $$x^2 - 4x = 0$?

Accepted Answer

$$x = 0 or$$ $$x = 4$$

Question 18

Which of the following is the correct solution to $$x^2 - 8x + 15 = 0$?

Accepted Answer

$$x = 3 or$$ $$x = 5$$

Question 19

If $$x^2 = 49$, what are the possible values for x$?

Accepted Answer

$$x = 7 or$$ $$x = -7$$

Factoring and Solving Quadratic Equations: Intermediate Algebra Study Notes

Study Guide - Practice Questions