AMC 8 Algebra & Patterns 1 ā Questions and Answers
Question 1: Solve for x: 3x + 7 = 22.
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
3x = 22 ā 7 = 15, so x = 5.
Question 2: What is the next term in the sequence: 2, 5, 10, 17, 26, ā¦?
- 33
- 35
- 37 (Correct answer)
- 39
Correct answer: 37
The differences between terms are 3, 5, 7, 9 (increasing by 2), so the next difference is 11 and 26 + 11 = 37.
Question 3: If f(x) = 2xĀ² ā 3, what is f(4)?
- 25
- 27
- 29 (Correct answer)
- 32
Correct answer: 29
f(4) = 2(4Ā²) ā 3 = 2(16) ā 3 = 32 ā 3 = 29.
Question 4: Solve for x: 5(x ā 2) = 3x + 4.
- 5
- 6
- 7 (Correct answer)
- 8
Correct answer: 7
Expanding: 5x ā 10 = 3x + 4, so 2x = 14 and x = 7.
Question 5: What is the value of 3a ā 2b when a = 4 and b = ā1?
- 10
- 12
- 14 (Correct answer)
- 16
Correct answer: 14
3(4) ā 2(ā1) = 12 + 2 = 14.
Question 6: What is the 10th term of the arithmetic sequence 3, 7, 11, 15, ā¦?
- 35
- 39 (Correct answer)
- 43
- 47
Correct answer: 39
aāā = 3 + (10ā1) Ć 4 = 3 + 36 = 39.
AMC 8 Algebra & Patterns 1
Solve for x: 3x + 7 = 22.