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Difference of Squares and Factoring

Difference of Squares and Factoring

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve the equation x^2 - 44 = 100 using two methods: recognizing the difference of two perfect squares and solving it algebraically. The instructor demonstrates the steps to transform the equation into x^2 - 144 = 0, which can be rewritten as (x - 12)(x + 12) = 0. This leads to the solutions x = 12 and x = -12, corresponding to answer choice C.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial equation presented in the problem?

x^2 + 44 = 100

x^2 - 44 = 100

x^2 - 100 = 44

x^2 + 100 = 44

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a method to solve the equation x^2 - 44 = 100?

Using the quadratic formula

Recognizing the difference of two perfect squares

Completing the square

Graphing the equation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the difference of two perfect squares?

a^2 + b^2 = (a + b)(a - b)

a^2 + b^2 = (a - b)^2

a^2 - b^2 = (a - b)(a + b)

a^2 - b^2 = (a + b)^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the equation x^2 - 44 = 100 rewritten using the difference of squares?

x^2 - 144 = 0

x^2 + 12^2 = 0

x^2 - 12^2 = 0

x^2 - 100 = 44

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of b in the expression x^2 - b^2 = 0?

13

12

11

10

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the factors of the equation x^2 - 12^2 = 0?

(x - 13)(x + 13)

(x - 11)(x + 11)

(x - 10)(x + 10)

(x - 12)(x + 12)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solutions to the equation (x - 12)(x + 12) = 0?

x = 12 or x = -12

x = 10 or x = -10

x = 11 or x = -11

x = 13 or x = -13

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