Question 1

Which of the following is the standard form of a quadratic equation?

Accepted Answer

$$ax^2 + bx + c = 0$

Question 2

Given the equation $$2x^2 - 2x - 6 = 0$, what are the values of a$, b$, and c$ in standard form?

Accepted Answer

$$a = 2,\ b = -2,\ c = -6$$

Question 3

What is the first step when factoring any quadratic equation according to the flowchart?

Accepted Answer

Factor out the GCF (Greatest Common Factor)

Question 4

Which factoring formula would you use for $$a^2$$ - $$b^2$$?

Accepted Answer

$$(a - b)(a + b)$$

Question 5

If a quadratic equation has the form $$x^2 + 12x = 0$, what is the solution set?

Accepted Answer

$$x = 0,\ x = -12$$

Question 6

Which method should be used to factor $$x^2 + 7x + 6$?

Accepted Answer

AC Method

Question 7

What are the roots of the equation $$x^2 + 7x + 6 = 0$?

Accepted Answer

$$x = -1,\ x = -6$$

Question 8

Which of the following is NOT a step in the factoring guide for solving quadratic equations?

Accepted Answer

Multiply both sides by $$x$$

Question 9

A quadratic equation models the height $$h (in $$meters) of a ball thrown upward as $$h = -5t^2$ + 20t + 2. $$What is the value of $$a in $$this equation?

Accepted Answer

$$a = -5$$

Question 10

Which of the following equations can be factored using the grouping method?

Accepted Answer

$$x^3$$ + $$3x^2 + 2x + 6$

Question 11

If $$x^2 - 4 = 0$, what are the solutions?

Accepted Answer

$$x = 2,\ x = -2$$

Question 12

Which of the following best describes the roots of a quadratic equation?

Accepted Answer

The values of $$x$$ that make the equation true

Question 13

What is the result of factoring $$x^2 - 9$?

Accepted Answer

$$(x - 3)(x + 3)$$

Question 14

Which of the following is a quadratic equation in standard form?

Accepted Answer

$$3x^2 - 5x + 2 = 0$

Question 15

A chemical reaction is modeled by $$c^2 - 8c + 16 = 0$. What are the possible values of c$?

Accepted Answer

$$c = 4$$

Question 16

Which of the following is a necessary condition for using the AC method to factor a quadratic equation?

Accepted Answer

The equation must have three terms

Factoring and Solving Quadratic Equations

Study Guide - Practice Questions

Study Guide - Flashcards