Algebra & Patterns Flashcards
6 cards from real AMC 8 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Algebra & Patterns flashcards as text
Solve for x: 3x + 7 = 22.
Answer: 5
3x = 22 − 7 = 15, so x = 5.
What is the next term in the sequence: 2, 5, 10, 17, 26, …?
Answer: 37
The differences between terms are 3, 5, 7, 9 (increasing by 2), so the next difference is 11 and 26 + 11 = 37.
If f(x) = 2x² − 3, what is f(4)?
Answer: 29
f(4) = 2(4²) − 3 = 2(16) − 3 = 32 − 3 = 29.
Solve for x: 5(x − 2) = 3x + 4.
Answer: 7
Expanding: 5x − 10 = 3x + 4, so 2x = 14 and x = 7.
What is the value of 3a − 2b when a = 4 and b = −1?
Answer: 14
3(4) − 2(−1) = 12 + 2 = 14.
What is the 10th term of the arithmetic sequence 3, 7, 11, 15, …?
Answer: 39
a₁₀ = 3 + (10−1) × 4 = 3 + 36 = 39.