Advanced Algebra Quiz - Grade 12
Test your knowledge of advanced algebraic concepts including functions, equations, and mathematical reasoning.
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Quiz Questions & Answers
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Question 1: If f(x) = 2x² + 3x - 4 and g(x) = x - 1, what is (f∘g)(x)?
2x² + x - 7
2(x-1)² + 3(x-1) - 4
2x² - 4x + 1
2x² - x - 6
Question 2: Solve the equation: log₃(x+2) + log₃(x-1) = 2
x = 3
x = 5
x = 4
x = 2
Question 3: What is the domain of f(x) = √(x² - 4x + 3)?
[3, ∞)
[1, 3]
(-∞, 1] ∪ [3, ∞)
(-∞, ∞)
Question 4: If A and B are events with P(A) = 0.6 and P(B) = 0.4, and P(A∩B) = 0.2, what is P(A∪B)?
1.0
0.8
0.6
0.4
Question 5: What is the sum of the infinite geometric series 8 + 4 + 2 + 1 + ...
8
∞
16
15
Question 6: Find the value of k if x² + kx + 16 has equal roots.
16
±8
8
±4
Question 7: What is the period of sin(2x + π/3)?
2π
π
π/2
4π
Question 8: If matrices A and B are invertible 2×2 matrices, which of these is always true?
AB = BA
(A+B)⁻¹ = A⁻¹ + B⁻¹
det(AB) = det(BA)
det(A+B) = det(A) + det(B)