Divisibility Rules and Algebraic Forms

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Thames
T
Thames
Community Contributor
Quizzes Created: 6941 | Total Attempts: 9,517,194
| Questions: 15
Please wait...
Question 1 / 15
0 %
0/100
Score 0/100
1) A number is divisible by 2 if:
Submit
Please wait...
About This Quiz
Divisibility Rules And Algebraic Forms - Quiz

Ever wondered why divisibility rules really work? In this quiz, you’ll move beyond memorizing shortcuts and actually prove them with examples and equations. From showing why digit sums reveal divisibility to testing algebraic forms for even and odd numbers, you’ll practice connecting number tricks to solid reasoning. Take this quiz... see moreto see how divisibility and proofs come together in middle school math! see less

2)
We’ll put your name on your report, certificate, and leaderboard.
2) Which number confirms the divisibility rule for 3 (digit sum divisible by 3)?
Submit
3) A number is divisible by 9 if:
Submit
4) If a number ends in 0, it is divisible by:
Submit
5) A number leaves a remainder of 2 when divided by 5. Which equation represents this situation?
Submit
6) A number n is divisible by 4. Which equation represents this?
Submit
7) A number is divisible by 12 if it is divisible by:
Submit
8) Which algebraic form shows all even numbers?
Submit
9) Which equation models all numbers divisible by both 2 and 5?
Submit
10) A number divided by 7 leaves a remainder of 4. Which equation models this?
Submit
11) Solve for x: 3(x + 4) = 2(x + 7)
Submit
12) Solve for x: 4x + 5 = 2x + 15
Submit
13) Solve for x: 5(x − 3) = 3(x − 1)
Submit
14) Solve for x: 3(x + 2) = 2(x + 8)
Submit
15) Solve for x: 2x + 5 = x + 11
Submit
View My Results

Quiz Review Timeline (Updated): Oct 12, 2025 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Oct 12, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 03, 2025
    Quiz Created by
    Thames
Cancel
  • All
    All (15)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
A number is divisible by 2 if:
Which number confirms the divisibility rule for 3 (digit sum divisible...
A number is divisible by 9 if:
If a number ends in 0, it is divisible by:
A number leaves a remainder of 2 when divided by 5. Which equation...
A number n is divisible by 4. Which equation represents this?
A number is divisible by 12 if it is divisible by:
Which algebraic form shows all even numbers?
Which equation models all numbers divisible by both 2 and 5?
A number divided by 7 leaves a remainder of 4. Which equation models...
Solve for x: 3(x + 4) = 2(x + 7)
Solve for x: 4x + 5 = 2x + 15
Solve for x: 5(x − 3) = 3(x − 1)
Solve for x: 3(x + 2) = 2(x + 8)
Solve for x: 2x + 5 = x + 11
Alert!

Back to Top Back to top
Advertisement