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Answer Key: 1. a) log₅ 25 = 2 2. b) 3 3. b) 2 4. d) logₐ b + logₐ c = logₐ (b+c) 5. c) 3 6. b) -3 7. a) x = log₂ y 8. a) 10⁻⁴ 9. b) -1 10. c) 7

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1. Which of the following is NOT a polynomial function? a) f(x) = 3x² + 2x - 1 b) g(x) = √x + 5 c) h(x) = x⁴ - 7x³ + 2 d) k(x) = 2x⁵ + x² - 9 2. What is the degree of the polynomial function f(x) = 5x³ - 2x² + 4x - 1? a) 1 b) 2 c) 3 d) 4 3. What is the leading coefficient of the polynomial function g(x) = -2x⁴ + 3x² - 1? a) -2 b) 3 c) 1 d) 4 4. What is the end behavior of the polynomial function h(x) = -x⁵ + 2x² - 3? a) As x → ∞, h(x) → ∞; as x → -∞, h(x) → -∞ b) As x → ∞, h(x) → -∞; as x → -∞, h(x) → ∞ c) As x → ∞, h(x) → ∞; as x → -∞, h(x) → ∞ d) As x → ∞, h(x) → -∞; as x → -∞, h(x) → -∞ 5. How many real zeros does the polynomial function k(x) = x⁴ - 5x² + 4 have? a) 1 b) 2 c) 3 d) 4 6. Which of the following is a factor of the polynomial function f(x) = x³ - 2x² - 5x + 6? a) (x - 1) b) (x - 2) c) (x + 3) d) (x - 6) 7. What is the remainder when the polynomial function g(x) = x³ + 2x² - 5x + 1 is divided by (x - 2)? a) -1 b) 1 c) 5 d) 9 8. What is the multiplicity of the zero x = -2 for the polynomial function h(x) = (x + 2)² (x - 1)? a) 1 b) 2 c) 3 d) 4 9. What is the y-intercept of the polynomial function k(x) = 2x³ - x² + 3x - 5? a) -5 b) 3 c) 2 d) 1 10. Which of the following polynomial functions has a graph that is symmetric about the y-axis? a) f(x) = x³ + 2x² - 1 b) g(x) = 2x⁴ - 5x² + 3 c) h(x) = x⁵ - 4x³ + x d) k(x) = -x⁶ + 7x⁴ - 2x² + 1

1. What is the logarithmic form of the equation 5² = 25? a) log₅ 25 = 2 b) log₂₅ 5 = 2 c) log₂ 5 = 25 d) log₂₅ 2 = 5 2. If log₂ 8 = x, what is the value of x? a) 2 b) 3 c) 4 d) 8 3. What is the value of log₁₀ 100? a) 1 b) 2 c) 10 d) 100 4. Which of the following is NOT a property of logarithms? a) logₐ (b⋅c) = logₐ b + logₐ c b) logₐ (b/c) = logₐ b - logₐ c c) logₐ bⁿ = n⋅logₐ b d) logₐ b + logₐ c = logₐ (b+c) 5. If log₃ 9 = 2, what is the value of log₃ 27? a) 1 b) 2 c) 3 d) 4 6. What is the value of log₂ (1/8)? a) 3 b) -3 c) 1/8 d) 8 7. Which of the following is the equivalent logarithmic form of the equation y = 2ˣ? a) x = log₂ y b) y = log₂ x c) x = logₓ 2 d) y = logₓ 2 8. The pH of a solution is defined as pH = -log₁₀[H⁺], where [H⁺] is the hydrogen ion concentration. If the pH of a solution is 4, what is the hydrogen ion concentration? a) 10⁻⁴ b) 10⁴ c) 4 d) -4 9. What is the value of log₁₀ 0.1? a) 1 b) -1 c) 10 d) -10 10. Which of the following is the solution to the equation log₂ (x+1) = 3? a) 1 b) 2 c) 7 d) 8

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Which of the following is a ferromagnetic material?   - A) Copper   - B) Aluminum   - C) Iron   - D) Gold 3. What is the direction of magnetic field lines outside a magnet?   - A) North to South   - B) South to North   - C) East to West   - D) Random direction 4. What is the phenomenon called when a material becomes magnetic in the presence of a magnetic field?   - A) Electromagnetism   - B) Magnetization   - C) Induction   - D) Flux 5. In which of the following types of magnets is the magnetic field produced by an electric current?   - A) Permanent Magnet   - B) Temporary Magnet   - C) Electromagnet   - D) Neodymium Magnet  

What is the unit of magnetic field strength?   - A) Tesla   - B) Ohm   - C) Volt   - D) Ampere

Today's quiz about magnetism

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1. Which proverb means it's better to be safe than sorry?   - A) A stitch in time saves nine   - B) Better late than never   - C) Look before you leap   - D) Actions speak louder than words

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