

Understanding Linear Diophantine Equations
Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Aiden Montgomery
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main problem discussed in the video?
Calculating the total value of stamps needed for a package.
Finding the number of ways to make 637 cents using 5-cent and 8-cent stamps.
Finding the number of ways to make 500 cents using 10-cent and 20-cent stamps.
Determining the cost of sending a letter overseas.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of setting up a congruence modulo 5?
To determine the exact number of stamps needed.
To simplify the equation by eliminating the y variable.
To convert the equation into a quadratic form.
To find integer solutions for x and y that satisfy the equation.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do we solve the congruence 3y ≡ 2 (mod 5)?
By adding multiples of 3 to both sides.
By multiplying both sides by 5.
By adding multiples of 5 to 2 until a multiple of 3 is found.
By subtracting 2 from both sides.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation for y after solving the congruence?
y = 4 + 5k
y = 3 + 5k
y = 2 + 5k
y = 1 + 5k
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do we find the smallest number of stamps?
By using only 8-cent stamps.
By maximizing the number of 5-cent stamps.
By using only 5-cent stamps.
By minimizing the number of 5-cent stamps and maximizing 8-cent stamps.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the smallest number of stamps needed to make 637 cents?
90 stamps
100 stamps
80 stamps
70 stamps
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do we find the largest number of stamps?
By using only 5-cent stamps.
By using an equal number of 5-cent and 8-cent stamps.
By maximizing the number of 8-cent stamps.
By minimizing the number of 8-cent stamps.
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