Solving Quadratic Equations Concepts

Solving Quadratic Equations Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers solving quadratic equations with perfect squares, emphasizing the importance of correctly applying the plus or minus sign in solutions. It provides step-by-step examples, including complex equations involving imaginary numbers. The tutorial also introduces completing the square as an alternative method for solving quadratic equations.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a quadratic equation with perfect squares?

Add a constant to both sides

Isolate the squared variable

Multiply both sides by a constant

Subtract a constant from both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving the equation 9R^2 = 121, what should you do first?

Subtract 9 from both sides

Square root both sides

Divide both sides by 9

Add 9 to both sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the square root of 121?

13

12

11

10

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to consider both positive and negative solutions when solving quadratic equations?

To ensure all possible solutions are considered

To simplify the equation

To eliminate complex numbers

Because it always results in a single solution

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you square root a negative number in a quadratic equation?

You get a positive number

You get an imaginary number

You get a real number

You get zero

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of factoring the trinomial m^2 - 10m + 9?

(m - 9)(m - 1)

(m + 9)(m + 1)

(m - 5)^2

(m + 5)^2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the alternative method to solve quadratic equations besides factoring?

Using the quadratic formula

Using logarithms

Completing the square

Graphing the equation

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