Integer Solutions and Equation Simplification

Integer Solutions and Equation Simplification

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video begins with a shoutout to new channel members and explains the benefits of membership. It then introduces a math problem involving finding integer solutions to the equation 3/x + 5/y = 4. The instructor demonstrates solving the equation by making a common denominator and exploring possible integer solutions, both positive and negative. The video concludes with the presentation of the valid solution set and a reminder to like, comment, and subscribe.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is one of the perks mentioned for becoming a member of the channel?

Personalized video tutorials

Free merchandise

Early access to thumbnails

Access to exclusive videos

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main problem introduced in the video?

Calculating the derivative of a function

Finding the roots of a quadratic equation

Solving a system of linear equations

Finding integer solutions to 3/x + 5/y = 4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step taken to solve the equation 3/x + 5/y = 4?

Finding a common denominator

Using a calculator

Guessing the solutions

Graphing the equation

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After finding a common denominator, what is the next step in simplifying the equation?

Subtracting terms

Dividing both sides by a constant

Cross-multiplying

Adding fractions

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What technique is used to factor the equation after rearranging it?

Synthetic division

Completing the square

Simon's Favorite Factoring Trick

Using the quadratic formula

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How are the fractions handled to simplify the equation further?

By multiplying both sides by 4

By converting them to decimals

By adding them together

By ignoring them

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two numbers whose product is considered to find integer solutions?

15

20

10

12

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