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Grade 12 Challenge: Algebra Puzzles Worksheet with Answers
Grade 12 (US) · Year 13 (UK) · Class 12 (India) · Math
Unit 6: Going FurtherChallenge PuzzlesChallenge
Algebra problems that look hard until you spot the trick — identities, consecutive numbers and exponents. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.
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Practice Sheetaethelsystems.comChallenge: Algebra Puzzles
Grade 12 · Math
Name
Class
Date
Learning goal: Challenge Puzzles
Directions: Solve each problem. Show your work, then write your answer in the box.
If a + b = 6 and ab = 2, what is a^2 + b^2?
Answer: 32
- 1
Without a calculator: 89^2 - 77^2 = ?
Answer - 2
The sum of 6 consecutive integers is 81. What is the largest of them?
Answer - 3
If a + b = 12 and ab = 8, what is a^2 + b^2?
Answer - 4
If a + b = 11 and a - b = 9, what is a^2 - b^2?
Answer - 5
If 2^x = 32, what is 4^x?
Answer - 6
The sum of 4 consecutive integers is 46. What is the largest of them?
Answer - 7
If x + 1/x = 3, what is x^2 + 1/x^2?
Answer - 8
The sum of 6 consecutive integers is 195. What is the largest of them?
Answer - 9
If a + b = 16 and a - b = 7, what is a^2 - b^2?
Answer - 10
The sum of 5 consecutive integers is 105. What is the largest of them?
Answer - 11
Without a calculator: 80^2 - 64^2 = ?
Answer - 12
If a + b = 14 and ab = 48, what is a^2 + b^2?
Answer
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Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/12/challenge_algebra
Answer key — Challenge: Algebra Puzzles (Grade 12)
- 1.1992
- 2.16
- 3.128
- 4.99
- 5.1024
- 6.13
- 7.7
- 8.35
- 9.112
- 10.23
- 11.2304
- 12.100
Answer key (click to show)
- 1.1992
- 2.16
- 3.128
- 4.99
- 5.1024
- 6.13
- 7.7
- 8.35
- 9.112
- 10.23
- 11.2304
- 12.100
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Does this Grade 12 Challenge: Algebra Puzzles worksheet come with answers?
Yes. The full answer key is on this page, and it prints on its own page after the questions. Every answer is calculated or checked by code rather than written by an AI model, so the key is always correct.
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