Algebra 2 Semester Exam Practice

36 Questions | Total Attempts: 434

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Algebra 2 Semester Exam Practice

Note: ^ is used to note exponents ie. X^2 reads x to the second power. It is importantthat when entering answers you use spaces between operation symbols. Ex. 2x + 3y instead of 2x+3y And no spaces before and after parenthesis or exponents Ex. 2(x^-2 + 3)


Questions and Answers
  • 1. 
      Evaluate the given expression if x = 4, y = 8, w = -2 and z = 3.       (x-y)² + 5wz
    • A. 

      -14

    • B. 

      14

    • C. 

      44

    • D. 

      34

  • 2. 
    Simplify  5x + 2y – 7x + y
  • 3. 
    Simplify 6(4x + 8y) + 2(3x – 6y)
  • 4. 
    Simplify (4x² + 3x + 3) + (5x² – 13x – 8).  Use ^ for powers ie. x^2 is x to the second power.
  • 5. 
    Simplify (-10x² – 4x + 8)- (6x² + 10x -3)
  • 6. 
    Simplify  -3xy(6xy³- 4xy + 7y²)
    • A. 

      -18x^2y^4 + 12x^2y^2 - 21xy^3

    • B. 

      -18x^2y^4 - 12x^2y^2 - 21xy^3

    • C. 

      3x^2y^4 - 7x^2y^2 + 4xy^3

    • D. 

      3x^2y^4 + 7x^2y^2 - 4xy^3

  • 7. 
    Simplify 10squrt(162) - squrt(405) - squrt(200)
  • 8. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 9. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 10. 
    Solve 24p - 12 = 50; p = _____, round to the nearest hundredth.
  • 11. 
    Solve 5x - 23 = 56; x = ____, round to the nearest tenth.
  • 12. 
    Solve- abs(x - 2) = 27, X = ____
    • A. 

      29

    • B. 

      25

    • C. 

      -25

    • D. 

      29, -25

  • 13. 
    Find the value of f(6) if f(x) = -4x - 2. 
    • A. 

      26

    • B. 

      -26

    • C. 

      24

    • D. 

      -24

  • 14. 
    Find the slope of the line that passes through the pair of points (-3,-5) and (7,5).In your answer type the number only.
  • 15. 
    Write an equation in slope-intercept form for the line that satisfies the following condition.  Slope 3, and passes through (5,20).Use spaces between operation symbols when typing your answer.  Ex. y = 3x - 2
  • 16. 
    Solve the system of equations.     x – y = 4 and y = 2x – 6
    • A. 

      X = 2 y = 2

    • B. 

      X = -2 y = 2

    • C. 

      X = -2 y = -2

    • D. 

      X = 2 y = -2

  • 17. 
    Solve the system of equations.    2x + 5y = 12 and x – 3y = -2
    • A. 

      X = 4.8 y = 3.0

    • B. 

      X = 2.4 y = 1.5

    • C. 

      X = 1.2 y = 0.75

    • D. 

      X = 7.2 y = 4.5

  • 18. 
    Describe the system of equation as consistent and independent, consistent and dependent, or none of these.   3x – 2y = 1 and 6x – 9y = 63
    • A. 

      Consistent and independent

    • B. 

      Consistent and dependent

    • C. 

      None of these

  • 19. 
    Express the given number or expression in scientific notation.  Round to the nearest hundredth.  0.0000269074
  • 20. 
    Factor  4xy – 3y – 40x + 30
    • A. 

      (4x - 3)(2y - 20)

    • B. 

      (12x - 9)(2y - 20)

    • C. 

      (y - 10)(4x - 3)

    • D. 

      Y(4x - 3) - 10(4x - 3)

  • 21. 
    Factor 2x² + 3x – 9
  • 22. 
    (5 + ί) + (6 - 12ί)
    • A. 

      11 + 11i

    • B. 

      11 - 11i

    • C. 

      30 - 72i

    • D. 

      11 + 13i

  • 23. 
    (4 - 10ί) + (15 - 16ί)
  • 24. 
    Solve: squrt(2x - 2) + 12 = 14x = ____  Type the number only for your answer.
  • 25. 
    Solve:  squrt(x - 3) + 6 = 15
    • A. 

      64

    • B. 

      84

    • C. 

      74

    • D. 

      34

  • 26. 
    M + 5 < 4 or m + 2 > 9
    • A. 

      M > -1 or m< 7

    • B. 

      M . -1 or m > 7

    • C. 

      M < -1 or m > 7

    • D. 

      M > - 1 or m > 7

  • 27. 
    Simplify sqrt(36x^12y^8)
    • A. 

      6x^6y^4

    • B. 

      6x^12y^8

    • C. 

      9x^12y^8

    • D. 

      9x^6y^4

  • 28. 
    Express the product in Scientific notation. Round to the nearest hundredth and use spaces between x, and no spaces before or after parenthesis or ^. (6.34 x 10^-3)(6.3 x 10^-5)
  • 29. 
    Simplify squrt(-200x^8y^12)
    • A. 

      -10x^4y^6squrt(2)

    • B. 

      -10ix^4y^6squrt(2)

    • C. 

      10x^4y^6squrt(-2)

    • D. 

      10ix^4y^6squrt(2)

  • 30. 
    Evaluate  squrt(-300) x squrt(-400)
    • A. 

      Squrt(1200)

    • B. 

      20squrt(3)

    • C. 

      200isqurt(3)

    • D. 

      -200squrt(3)

  • 31. 
    Simplify  sqrt(200x^17y^24)
    • A. 

      10x^8y^12squrt(2x)

    • B. 

      10x^8y^12squrt(2)

    • C. 

      10y^12squrt(2x^17)

    • D. 

      10squrt(2x^17y^24)

  • 32. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 33. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 34. 
    What is squrt(1344) divided by squrt(7)
    • A. 

      192

    • B. 

      32squrt(6)

    • C. 

      8squrt(3)

    • D. 

      Squrt(192)

  • 35. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 36. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D