Curriculum Development Flashcards
7 cards from real AMC 12 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Curriculum Development flashcards as text
If f(x) = 2x + 3 and g(x) = x^2 - 1, what is f(g(2))?
Answer: 9
g(2) = 3, so f(3) = 2(3) + 3 = 9.
What is the sum of the roots of x^2 - 7x + 10 = 0?
Answer: 7
By Vieta's formulas, the sum of roots is -b/a = 7.
What is the value of log base 2 of 64?
Answer: 6
2^6 = 64, so log_2 64 = 6.
An arithmetic sequence has first term 3 and common difference 4. What is its 10th term?
Answer: 39
a_10 = 3 + 9(4) = 39.
What is the sum of the infinite geometric series 1 + 1/2 + 1/4 + 1/8 + ...?
Answer: 2
Sum = a/(1 - r) = 1/(1 - 1/2) = 2.
Which describes all solutions of |x - 3| < 5?
Answer: -2 < x < 8
|x - 3| < 5 means -5 < x - 3 < 5, so -2 < x < 8.
What is the product of the roots of 2x^2 + 5x - 12 = 0?
Answer: -6
By Vieta's formulas, the product is c/a = -12/2 = -6.
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