Congruences and Modular Arithmetic
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Ethan Morris
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the congruence 7x ≡ 12 (mod 13)?
Subtract 13 from both sides
Add 13 to both sides until a multiple of 7 is reached
Multiply both sides by 7
Divide both sides by 13
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many multiples of 13 need to be added to 12 to make it a multiple of 7?
6
5
4
3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the congruence 7x ≡ 77 (mod 13)?
x ≡ 11 (mod 13)
x ≡ 12 (mod 13)
x ≡ 10 (mod 13)
x ≡ 9 (mod 13)
Tags
CCSS.8.EE.C.8B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is the simplified congruence after subtracting 75x from 84x?
8x + 9 ≡ 4 (mod 15)
9x - 8 ≡ 4 (mod 15)
9x + 8 ≡ 4 (mod 15)
8x - 9 ≡ 4 (mod 15)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the greatest common divisor used to simplify the congruence 9x ≡ 72 (mod 15)?
1
2
4
3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the possible solutions for x in the congruence x ≡ 3 (mod 5)?
1, 6, 11
2, 7, 12
4, 9, 14
3, 8, 13
Tags
CCSS.8.EE.C.7A
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the congruence 6x ≡ 9 (mod 14) after dividing by 3?
3x ≡ 2 (mod 14)
2x ≡ 3 (mod 14)
x ≡ 2 (mod 14)
x ≡ 3 (mod 14)
Tags
CCSS.8.EE.C.7A
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports
Continue with Google
Continue with Email
Continue with Microsoft
or continue with
%20(1).png)
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?
