Algebra Test 3

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Online Algebra Test 3 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 for x: 3^(x – 1) = 9.
  1. x = 1
  2. x = 2
  3. x = 3
  4. x = 4
2. If f(x) = x² + 4x – 5, find f(2).
  1. 3
  2. 5
  3. 7
  4. 9
3. Factorize the expression: x² – 9.
  1. (x + 2)(x – 2)
  2. (x + 3)(x – 3)
  3. (x + 3)(x – 3)
  4. (x + 9)(x – 9)
4. Solve for x: √(2x – 1) = 3.
  1. x = 4
  2. x = 5
  3. x = 6
  4. x = 7
5. If 5x – 4y = 10 and 3x + 2y = 5, find the value of y.
  1. y = 1
  2. y = 2
  3. y = 3
  4. y = 4
6. Solve for x: log₅(x) = 2.
  1. x = 4
  2. x = 5
  3. x = 10
  4. x = 25
7. If f(x) = x³ + 5x² – 4x + 2 and g(x) = x – 3, what is f(g(3))?
  1. 5
  2. 9
  3. 14
  4. 20
8. Solve the equation: 2^(x – 1) = 16.
  1. x = 4
  2. x = 5
  3. x = 6
  4. x = 7
9. Simplify: sin(x)cos(x) + cos(x)sin(x).
  1. sin(x)
  2. 2sin(x)cos(x)
  3. cos(x)
  4. sin²(x) + cos²(x)
10. If 2log₃(x) = log₃(81), what is x?
  1. x = 3
  2. x = 9
  3. x = 27
  4. x = 81
11. Solve for x: 4^(x – 2) = 16.
  1. x = 1
  2. x = 2
  3. x = 3
  4. x = 4
12. If f(x) = x⁴ – 2x³ + 3x² – x + 1, find f(1).
  1. -1
  2. 0
  3. 1
  4. 2
13. 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)
14. Solve for x: √(2x + 3) = 5.
  1. x = 8
  2. x = 11
  3. x = 12
  4. x = 13
15. If 4x – 3y = 7 and 2x + 5y = 3, find the value of x.
  1. x = -1
  2. x = 1
  3. x = 2
  4. x = -2
16. Solve for x: log₆(x) = 3.
  1. x = 36
  2. x = 6
  3. x = 18
  4. x = 216
17. If f(x) = x² – 3x + 5 and g(x) = 3x + 2, what is f(g(1))?
  1. 9
  2. 7
  3. 15
  4. 23
18. Solve for x: 5^(x – 2) = 25.
  1. x = 2
  2. x = 3
  3. x = 4
  4. x = 5
19. Simplify: cos(π/3).
  1. 1/2
  2. √(3)/2
  3. 1
  4. 0
20. If log₄(x) = 2, what is x?
  1. x = 4
  2. x = 8
  3. x = 16
  4. x = 64
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