Algebra 1a Final Exam--january 2012

48 Questions

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Algebra Quizzes & Trivia

Please take your time on your Final Exam. I wish you the very best!


Questions and Answers
  • 1. 
    A man packed ten boxes, each of which had five dots on one end and twice as many dots on the other end.  How many dots were on the boxes, altogether?
    • A. 

      80

    • B. 

      100

    • C. 

      120

    • D. 

      150

  • 2. 
    Which property is shown in the following problem?  (2 + 3) + 4 = 2 + (3 + 4)  
    • A. 

      Associative

    • B. 

      Commutative

    • C. 

      Distributive

    • D. 

      Identity

  • 3. 
    Which property is shown in the following problem?  4 (2c – a) = 8c – 4a  
    • A. 

      Associative

    • B. 

      Commutative

    • C. 

      Distributive

    • D. 

      Identity

  • 4. 
    Which property is shown in the following problem? 22 + 23 = 23 + 22  
    • A. 

      Associative

    • B. 

      Commutative

    • C. 

      Distributive

    • D. 

      Identity

  • 5. 
    (8a3/125a6)1/3 = ? 
  • 6. 
    Distribute and simplify the following problem: 2 (2c - 4a)  
  • 7. 
     Evaluate and simplify the expression: a = -2; b = 3; c = -5 b + 2c  
    • A. 

      -12

    • B. 

      8

    • C. 

      -7

    • D. 

      2

  • 8. 
    Evaluate and simplify the expression: a = -2; b = 3; c = -5 ba / c = ?  
    • A. 

      -9/5

    • B. 

      -9/45

    • C. 

      -1/45

    • D. 

      -1/5

  • 9. 
    (3) ((-2)2 + 1) = ? 
    • A. 

      -9

    • B. 

      12

    • C. 

      15

    • D. 

      18

  • 10. 
    [9210 + 1 * 2] / 3  = ?
    • A. 

      2

    • B. 

      1

    • C. 

      0

    • D. 

      -1

  • 11. 
    Express the following phrase algebraically:  The product of a number and 6
    • A. 

      6 / x

    • B. 

      6 (x)

    • C. 

      6

    • D. 

      X

  • 12. 
    The number of flowers in a vase is an infinite number.
    • A. 

      True

    • B. 

      False

  • 13. 
    Solve and simplify: [2 (-5) (-3)] / [2 (-3) – 3 (-3)] -1 =
    • A. 

      7

    • B. 

      8

    • C. 

      9

    • D. 

      10

  • 14. 
    Solve and simplify: 42 + 8 (-3) / -4 =
    • A. 

      16

    • B. 

      18

    • C. 

      20

    • D. 

      22

  • 15. 
    • A. 

      -11

    • B. 

      11

    • C. 

      -9

    • D. 

      9

  • 16. 
    • A. 

      3

    • B. 

      1

    • C. 

      -1

    • D. 

      -3

  • 17. 
    • A. 

      1/9

    • B. 

      1/6

    • C. 

      1/5

    • D. 

      1

  • 18. 
    [(34)3 (32)4] / [(-3)15 (3)4] = ?
    • A. 

      -9

    • B. 

      -3

    • C. 

      3

    • D. 

      9

  • 19. 
    38 / 35 – 42 (24) / 26 = ?
    • A. 

      27

    • B. 

      -16

    • C. 

      23

    • D. 

      -12

  • 20. 
    12x + 3y + 16z – 9x +2z – 3y = ?
    • A. 

      0

    • B. 

      3x + 6y + 18z

    • C. 

      3x -6y + 18z

    • D. 

      3x + 18z

  • 21. 
    What will the denominator be after   is rationalized?
    • A. 

      4

    • B. 

      7

    • C. 

      21

    • D. 

      28

  • 22. 
  • 23. 
    What will the denominator be after   is rationalized?
    • A. 

      3

    • B. 

      5

    • C. 

      10

    • D. 

      15

  • 24. 
    • A. 

      5ab

    • B. 

      10ab

    • C. 

      20a

    • D. 

      20b

  • 25. 
    What will the numerator be after   is rationalized?
    • A. 

      27/8 a

    • B. 

      3a

    • C. 

      3

    • D. 

      2a

  • 26. 
  • 27. 
  • 28. 
    What will the denominator be after   is rationalized?
    • A. 

      2b

    • B. 

      6b

    • C. 

      8b

    • D. 

      6

  • 29. 
    • A. 

      4

    • B. 

      8

    • C. 

      12

    • D. 

      16

  • 30. 
    112 + 8 (-3) / -6 = ?
  • 31. 
    • A. 

      B

    • B. 

      C

    • C. 

      A

    • D. 

      Abc

  • 32. 
  • 33. 
    • A. 

      4

    • B. 

      8

    • C. 

      0

    • D. 

      -2

  • 34. 
    32 – 32 [43 (6 + 2) -32]0 = ?
  • 35. 
  • 36. 
    Choose the inequality equation, below, that describes the following statement: The number of dogs in the pound was less than 10.
    • A. 

      X > 10

    • B. 

      X < = 10

    • C. 

      X < 10

    • D. 

      X = 10

  • 37. 
    9 = [(½ ) x] + 3 x = ?
  • 38. 
    [(-1/4) x] + 6 = 2 x = ?
  • 39. 
    Solve for y, in the following system of equations: 2y – x = 1 2x + y = 8
  • 40. 
    A car travels 51 miles in 3 hours.  How far would it travel in 5 hours?
    • A. 

      20 miles

    • B. 

      40 miles

    • C. 

      60 miles

    • D. 

      85 miles

  • 41. 
    A dragon ran 3 miles in 8 seconds.  How many miles could the dragon run in 24 seconds?
    • A. 

      4 miles

    • B. 

      8 miles

    • C. 

      9 miles

    • D. 

      10 miles

  • 42. 
    • A. 

      0

    • B. 

      1

    • C. 

      2

    • D. 

      3

  • 43. 
    Solve for x, in the following system of equations: 2y – x = 1 2x + y = 8
  • 44. 
    Suppose that the monthly expenses of a factory are given by: E = pm + R.  Use this formula to solve the following problem: E = monthly expenses p = number of items made each month m = cost of the raw materials to make one item R = Monthly Rent Suppose the rent on a factory is $300 per month and it makes 50 items each month.  If the raw materials to produce one item cost $10, what are the total monthly expenses?
  • 45. 
    8x / 4x = x1/2 x = ?
    • A. 

      0

    • B. 

      1

    • C. 

      2

    • D. 

      4

  • 46. 
    Use the formula I = prt to solve the following problem: I = Interest p = principal r = rate t = time Find the simple interest for a loan of $1,000 with an interest rate of 11.5% for a period of 2 years.  (When you enter the interest rate into the formula, enter it as a decimal, not a percent.)
  • 47. 
    (1,000,000)1/2 – 999 = x3 x= ?
    • A. 

      0

    • B. 

      1

    • C. 

      2

    • D. 

      4

  • 48. 
    • A. 

      0

    • B. 

      1

    • C. 

      2

    • D. 

      3