Algebra Test 2

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Online Algebra Test 2 for different Competitive Exams, Entrance Tests & Job Interviews. Test yourself. Take various online tests and find out how well you score before appearing in your upcoming interviews and written tests.

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Total questions: 20

Time limit: 30 minutes

Each question is worth 1 point, and there are no penalties for wrong answers.

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Time remaining: 30:00
1. Solve the inequality: 2x + 3 < 11.
  1. x < 4
  2. x > 4
  3. x > 2
  4. x < 2
2. If f(x) = x² + 3x – 2, find f(-2).
  1. -6
  2. 0
  3. 6
  4. 4
3. Factorize the expression: x³ – 8.
  1. (x – 2)²
  2. (x + 2)(x² – 2x + 4)
  3. (x – 2)(x² – 4)
  4. (x – 2)(x² + 2x + 4)
4. Solve for x: √(x + 4) = 3.
  1. x = 5
  2. x = 9
  3. x = -7
  4. x = 5, x = -7
5. If 4x + 3y = 15 and 2x – 5y = 1, find the value of x.
  1. x = 3
  2. x = 1
  3. x = 2
  4. x = 4
6. Solve the equation for x: 2cos²(x) – 3cos(x) + 1 = 0.
  1. x = π/3
  2. x = π/6
  3. x = 2π/3
  4. x = π/4
7. Find the value of y if 2log₂(y) = log₂(32).
  1. y = 4
  2. y = 2
  3. y = 8
  4. y = 16
8. If x + y = 7 and xy = 10, what is the value of x² + y²?
  1. 73
  2. 109
  3. 58
  4. 97
9. Simplify: (sin²(x) – cos²(x)) / (tan(x) + cot(x)).
  1. sin(x)
  2. cos(x)
  3. tan(x)
  4. cot(x)
10. Solve the system of equations: 3x – 2y = 5 and x² + y² = 25.
  1. x = 4, y = -3
  2. x = 2, y = 3
  3. x = 3, y = 2
  4. x = -3, y = 4
11. Solve for x: e^(2x) = 10.
  1. x = ln(10)
  2. x = 2ln(10)
  3. x = ln(10)/2
  4. x = ln(2) + ln(5)
12. If f(x) = x³ – 2x² + x + 1 and g(x) = 2x – 1, what is f(g(2))?
  1. 5
  2. 7
  3. 3
  4. 9
13. If log₄(x) = 3, what is x?
  1. x = 64
  2. x = 81
  3. x = 16
  4. x = 27
14. Factorize the expression: x⁴ – 16.
  1. (x – 4)²
  2. (x – 2)(x + 2)(x² + 4)
  3. (x + 4)(x – 4)
  4. (x² – 4)(x² + 4)
15. If 3sin(x) = 4, what is cos(x)?
  1. cos(x) = 4/3
  2. cos(x) = 3/4
  3. cos(x) = 3/√(7)
  4. cos(x) = √(7)/3
16. If log₃(x) = 4, what is log₃(x²)?
  1. log₃(x) = 2
  2. log₃(x) = 4
  3. log₃(x) = 8
  4. log₃(x) = 16
17. Solve the inequality: |2x – 5| < 7.
  1. 1 < x < 5
  2. -1 < x < 6
  3. -1 < x < 6.5
  4. -2 < x < 7
18. Find the value of x if log₂(x – 2) = 3.
  1. x = 10
  2. x = 8
  3. x = 6
  4. x = 5
19. If f(x) = x² + 2x + 1 and g(x) = √x, what is f(g(4))?
  1. 6
  2. 9
  3. 8
  4. 12
20. Solve the equation: sin(x) + cos(x) = 1.
  1. x = π/2
  2. x = π/4
  3. x = π
  4. x = 3π/2
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