Algebra Test 1

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Online Algebra Test 1 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.

Instructions

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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. What is the value of 2x – 5 when x = 3?
  1. 1
  2. 5
  3. 6
  4. 1
2. If 3x + 7 = 22, what is the value of x?
  1. 5
  2. 5
  3. 4
  4. 6
3. Solve the equation 4(3x – 2) = 20 for x.
  1. 3
  2. 2
  3. 5
  4. 4
4. If 2(x + 4) = 24, what is the value of x?
  1. 10
  2. 6
  3. 10
  4. 5
5. Simplify: 2x + 5 – 3x + 2.
  1. -x + 7
  2. -x + 7
  3. -x + 3
  4. -x – 3
6. If 5x² + 2 = 17, what is the value of x?
  1. x = 3
  2. x = 4
  3. x = 5
  4. x = 6
7. Solve for x: 4(x² – 2) = 30
  1. x = 5
  2. x = 6
  3. x = 8
  4. x = 9
8. What is the solution to the equation 2(4x² – 3) = 30?
  1. x = 5
  2. x = 6
  3. x = 8
  4. x = 9
9. Solve for x: 3(x + 6)² = 45
  1. x = 6
  2. x = 9
  3. x = 10
  4. x = 11
10. If 5y² – 4 = 21, what is the value of y?
  1. y = 5
  2. y = 6
  3. y = 5
  4. y = 8
11. Factorize the expression: 3x² – 12.
  1. (3x – 4)(x + 3)
  2. 3(x – 2)(x + 2)
  3. (x – 2)(x + 2)
  4. 3(x – 3)(x + 3)
12. Solve the quadratic equation: x² – 5x + 6 = 0.
  1. x = 2, x = 3
  2. x = 1, x = 4
  3. x = 1, x = 3
  4. x = 2, x = 4
13. Solve the system of equations: 2x + 3y = 8 and x – y = 2.
  1. x = 3, y = 1
  2. x = 2, y = 0
  3. x = 4, y = 2
  4. x = 1, y = -1
14. If x – 4 is a factor of x² – 5x + c, what is the value of c?
  1. c = 20
  2. c = -20
  3. c = 16
  4. c = -16
15. If (x + 2) is a factor of 2x³ – 3x² – 8x + 12, what is the remaining factor?
  1. 2x – 3
  2. 2x² – 7x + 6
  3. x² – 4x + 6
  4. x³ – 2x² + 6x – 6
16. Find the value of x if log₃(x) = 2.
  1. x = 3
  2. x = 9
  3. x = 6
  4. x = 12
17. Simplify: (x – 4)(x + 4).
  1. x² – 16
  2. x² – 16x + 16
  3. x² – 8
  4. x² – 8x + 16
18. Solve the equation: |2x – 3| = 5.
  1. x = 1, x = 4
  2. x = -1, x = 4
  3. x = 1, x = -4
  4. x = -1, x = -4
19. If f(x) = x² – 3x + 2 and g(x) = 2x – 1, what is f(g(x))?
  1. 4x² – 9x + 6
  2. 4x² – 12x + 6
  3. 4x² – 12x + 4
  4. 4x² – 9x + 4
20. Solve for x: 2(x – 3) = 4(2 – x).
  1. x = 1
  2. x = 4
  3. x = 3
  4. x = 2

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