G2010 Algib Basic Skills

40 Questions

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Algebra Quizzes & Trivia

This quiz covers both MATH ONLY SKILLS such as computation, solving for x and PROBLEM SOLVING SKILLS that are needed in math, but are not math-specific. This is a NO CALCULATOR assessment. You are allowed to use paper and pencil, but you are not, repeat, NOT allowed to use a calculatory device. CALCULATORS ARE NOT ALLOWED ON THIS QUIZ


Questions and Answers
  • 1. 
       If each of the figures is created from equilateral triangles of side length 1, what is the perimeter of the 5th figure?
    • A. 

      9

    • B. 

      12

    • C. 

      15

    • D. 

      18

  • 2. 
    • A. 

      J M M

    • B. 

      O N D

    • C. 

      F J J

    • D. 

      M A S

    • E. 

      O N E

  • 3. 
     Simplify: (3x + 4) ( 3x - 4) CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      9x^2 - 24x - 16

    • B. 

      9x^2 - 24x + 16

    • C. 

      9x^2 + 16

    • D. 

      9x^2 - 16

    • E. 

      9x^2

  • 4. 
     In a group of 70 Spigghots there are 30 Reinholds, 25 Spahzbhotts and 15 Bluumps.  What is the correct ratio of Bluumps to Spahzbhotts? CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      15 to 25

    • B. 

      3 to 5

    • C. 

      15 to 70

    • D. 

      3 to 14

    • E. 

      5 to 6

  • 5. 
    The Commutative Property of Addition  says that you can add a set of numbers in any order, and still get the same answer.  In other words, 8 + 3 = 3 + 8.Which example shows the Commutative Property of Multiplication? "x" is the multiplication sign, not a variable.CALCULATORS ARE NOT ALLOWED ON THIS QUIZ.
    • A. 

      A x B x C = (A x B) x C

    • B. 

      A + B + C = C + A + B

    • C. 

      A x B x C = C x A x B

    • D. 

      (AB) C = A(BC)

  • 6. 
    Select the answer that is smaller than 66 2/3 %(sixty-six and two-thirds percent)CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      7 / 10

    • B. 

      5 / 6

    • C. 

      5 / 8

    • D. 

      0.67

    • E. 

      4 / 5

  • 7. 
    • A. 

      To use the Distributive Property (aka 'split/share' or 'foil')

    • B. 

      To rewrite as a product of two linear expressions.

    • C. 

      To simplify by adding or subtracting like terms.

    • D. 

      To rewrite a quadratic in Standard Form

  • 8. 
    Choose the correct factorized form of the expression:x2 + 7x + 12 CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      (x + 6)(x + 2)

    • B. 

      (x - 3)(x + 4)

    • C. 

      (x - 3)(x - 4)

    • D. 

      (x + 3)(x + 4)

    • E. 

      ( x - 6)( x-2)

  • 9. 
    If 6 people can sit at one table, and 10 people can sit at two tables, and 14 people can sit at three tables, then how many tables do you need for 30 people? CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      6

    • B. 

      7

    • C. 

      8

    • D. 

      9

    • E. 

      10

  • 10. 
             Simplify: (3k2 + 2k -5) + (-2k2 -2k -1) CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      1k^2 -4k -6

    • B. 

      1k^2 -6

    • C. 

      K^2 -4k -4

    • D. 

      K^2 -4

  • 11. 
    Write the following in scientific notation134.8 x 10^8 CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      Its already in Scientific Notation. No changes are needed.

    • B. 

      13.48 x 10^7

    • C. 

      1.348 x 10^6

    • D. 

      1.348 x 10^10

    • E. 

      13.48 x 10^9

  • 12. 
    • A. 

      { 34,000 ... 3.3x10^4 ... 34x10^4 }

    • B. 

      { 9.0X10^5 ... 0.9x10^5 ... 9.0x10^3 }

    • C. 

      { 5.66x10^2 ... 5.68x10^3 ... 0.567x10^2 }

    • D. 

      { 5.98 ... -5.98 ... -5.89 }

  • 13. 
    • A. 

      { (3,0) (4,0) (-5,0) }

    • B. 

      { (0,8) (0,-2) (0.5, 8) }

    • C. 

      { (0, 4) (10, -12) (0, 28) }

    • D. 

      { (0,-4) ( 0,8) (0,-33) }

    • E. 

      { (4,0) (0.9) (0,-3) }

  • 14. 
                               If 80% of the population are considered DELLS, and 30% of DELLS are MINEOS, and 60% of MINEOS are also LORAXES, then...In a population of 230, about how many would you expect to be LORAXES? CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      About 32 to 35

    • B. 

      About 54 to 57

    • C. 

      About 181 to 184

    • D. 

      About 27 to 30

  • 15. 
    A ball is thrown up in the air with an initial upward velocity of 34 feet per second from a height of 5 feet.  You want to determine the maximum height of the ball.  Which process would best help you answer the question?
    • A. 

      Use the quadratic formula.

    • B. 

      Factor the problem.

    • C. 

      Use the vertex formula, then plug your answer back into the "throw formula".

    • D. 

      Set the quadratic equal to zero, solving for each variable.

  • 16. 
    Solve: -11 = 2x -5CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      -3

    • B. 

      3

    • C. 

      -8

    • D. 

      8

    • E. 

      -2

  • 17. 
     Solve: -3x -1 ≤ 14CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      X is less than -5

    • B. 

      X is less than or equal to 5

    • C. 

      X is greater than 5

    • D. 

      X is greater than or equal to 5

    • E. 

      X is greater than or equal to -5

  • 18. 
    Find the product of the solutions to each problem below:4 = -x + 3   and   -x + 2 = 6In other words: Find the product of the solutions of the problems above. CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      -4

    • B. 

      -7

    • C. 

      4

    • D. 

      7

  • 19. 
    • A. 

      X^2 + 5x + 4

    • B. 

      X^2 + 2x -24

    • C. 

      X^2 + 12x - 36

    • D. 

      X^2 - 4x + 15

  • 20. 
     Simplify:  (8 - 3)(9 + 3) + (4 -7) CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      63

    • B. 

      -120

    • C. 

      57

    • D. 

      -84

    • E. 

      -57

  • 21. 
    A population of Pandas (P) decreases at a rate of 3% per year for five years.  Which equation below represents this?
    • A. 

      P(1+.03)^5

    • B. 

      P(1-.3)^5

    • C. 

      P(1-3)^5

    • D. 

      P(1-.03)^5

  • 22. 
    There are 15 socks in a drawer; 4 are red and 3 are blue and the rest are green.  What is the Probability of randomly choosing a blue sock? CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      3 / 12

    • B. 

      3 / 8

    • C. 

      1 / 3

    • D. 

      1 / 5

  • 23. 
       Simplify: 24 - 57 CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      33

    • B. 

      -33

    • C. 

      -81

    • D. 

      81

  • 24. 
    • A. 

      Five-sixths

    • B. 

      Seven-ninths

    • C. 

      "Dont know. Dont care. Dont want to try"

  • 25. 
    Find the mean of the following three terms:(8y - 10) and (12y + 4) and (4y - 3)CALCULATORS ARE NOT ALLOWED ON THIS QUIZ(No, we have never done this.  This is a "think and apply" question.  You have to think about what you know about the word mean, then apply it to this problem which is a little different than a typical 'mean' problem.)
    • A. 

      (8y + 3)

    • B. 

      (24y -9)

    • C. 

      (8y + 3)

    • D. 

      (8y - 3)

    • E. 

      (12y - 9)

  • 26. 
        At 2:00 pm a 36 inch yardstick creates a 24 inch shadow.  At the same time a tree casts a 36 foot shadow.  How tall is the tree?CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      24 feet

    • B. 

      56 feet

    • C. 

      54 feet

    • D. 

      26 feet

    • E. 

      72 feet

  • 27. 
      Simplify:  8h - 9v + 12v + 3h - 7s CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      11h - 21v - 7s

    • B. 

      11h + 3v - 7s

    • C. 

      11h - 3v -7s

  • 28. 
     Three people have a mean age of 17.  If a fourth person is added, and the fourth person is 9 years old, then what is the new mean age? CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      13 years

    • B. 

      15 years

    • C. 

      17 years

    • D. 

      19 years

    • E. 

      21 years

  • 29. 
      Distribute:  (4m - 5b)(4m + 5b) CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      16m^2 - 25b^2

    • B. 

      16m^2 + 25b^2

    • C. 

      16m^2 - 40bm - 25b^2

    • D. 

      16m^2 + 40bm - 25b^2

  • 30. 
      Three people (Aqua-man, Batman, and Catwoman) start walking/running around a one-quarter mile track.  Aqua-Man can walk the track in 9 min, Batman can run the track in 6 min, and Catwoman can run the track in 4 min.  All three of them start walking at the same time.  Assuming that they keep the same pace and they take no breaks, how long will it be before they are all at the same place at the same time.  In other words, in how many minutes will they all meet at the starting point again?(No, we have never done this.  This is a "think and apply" question. Or, you could just make a table with three columns, and add a munch of numbers together, but this is tricky, because if you make ONE mistake out of 20 calculations, you'll never get the right answer.) CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      216 min.

    • B. 

      19 min.

    • C. 

      36 min.

    • D. 

      18 min.

  • 31. 
    • A. 

      9 + 7 x 8 - (-2)

    • B. 

      8 / -2 + 17 + 4

    • C. 

      -99 / -9

    • D. 

      45 x 9 / 5 - 1

    • E. 

      7 - 4

  • 32. 
    You have a babysitting business over the summer.  You charge $12 per hour and in one week you work 15 hours. How much money did you earn that week? CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      180

    • B. 

      190

    • C. 

      $180

    • D. 

      $190

    • E. 

      $170

  • 33. 
    In a local soccer tournament there are 3 brackets with 4 team in each bracket.  Each team has an average of 12 players, 2 coaches, 13 parents, and 3 goats.  How many total players are at the tournament? CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      360

    • B. 

      144

    • C. 

      324

    • D. 

      168

    • E. 

      48

  • 34. 
    Simplify:  [ 9 - (8 / 4) + (0.5 x 14) ] -1 CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      13

    • B. 

      74

    • C. 

      56

    • D. 

      -8

  • 35. 
    9 x 8 CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      87

    • B. 

      76

    • C. 

      54

    • D. 

      73

    • E. 

      72

  • 36. 
     -4(-12y - 8) CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      48y - 32

    • B. 

      48y + 32

    • C. 

      36y + 32

    • D. 

      36y - 32

    • E. 

      -48y + 32

  • 37. 
    • A. 

      Six and Eight are Twelve

    • B. 

      Nine and Seven are Sixteen

    • C. 

      Twelve and Three is Nine

    • D. 

      Seven and the opposite of Nine are Negative Two

    • E. 

      The opposite of Six and Three is the Opposite of Three.

  • 38. 
    (3b - 4)(5b + 2)Simplify:
    • A. 

      15b^2 -16b -8

    • B. 

      15b^2 - 14b - 8

    • C. 

      15b^2 -26b -8

    • D. 

      15b^ -14b -2

  • 39. 
    OPTION RR::  A cell phone company charges 20 cents for each  the first 40 text messages sent per month then 15 cents for each of the next 40 text messages, then 5 cents for each text message after that.  OPTION SS::  OR, you can pay a fixed amount and send all the message you want.  Option SS costs $20.  CALCULATORS ARE NOT ALLOWED ON THIS QUIZChoose the option that is the least expensive for you. 
    • A. 

      Option RR is best if you send more than 200 txt msg / mth.

    • B. 

      Option RR is best if you send less than 1000 txt msg / mth.

    • C. 

      Option SS is best if you send more than 190 txt msg / mth.

    • D. 

      Option SS is best if you send less than 100 txt msg / mth.

  • 40. 
          In this problem, each Capital Letter represents a mathematical operation.  It is your job to (1) determine what operation each letter represents, (2) use that information to answer THE BIG QUESTION below: Parenthesis are used as normal in mathematics. CALCULATORS ARE NOT ALLOWED ON THIS QUIZEquation # 1:  6  Q 8 U 1 = 14Equation # 2: 12 E 3 U 8 = 32Equation #3: (160 T 40) E 12 = 10THE BIG QUESTION:  SOLVE THE FOLLOWING(6 U 9 T 4 ) Q 16 = ????CALCULATORS ARE NOT ALLOWED ON THIS QUIZ
    • A. 

      54

    • B. 

      66

    • C. 

      74

    • D. 

      56

    • E. 

      76