Pre-algebra Mid Term Exam Fall 2011

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Pre-algebra Mid Term Exam Fall 2011 - Quiz

Please show ALL of your work on a separate piece of paper. You have 2 hours to complete this exam.


Questions and Answers
  • 1. 

    Jasmine is building birdhouses.  It takes her  hours to build 4 birdhouses.  Which of the following is an equivalent rate?

    • A.

      14 hours to build 18 birdhouses

    • B.

      28 hours to build 35 birdhouses

    • C.

      7 hours to build 8 birdhouses

    • D.

      21 hours to build 28 birdhouses

    Correct Answer
    C. 7 hours to build 8 birdhouses
    Explanation
    The equivalent rate can be determined by finding the ratio of the number of birdhouses to the number of hours. In this case, the ratio for the correct answer is 8 birdhouses in 7 hours. This can be simplified to a rate of 1 birdhouse in 7/8 hours, which is equivalent to 7 hours to build 8 birdhouses.

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  • 2. 

  • 3. 

    Which of the following does not represent a rational number?

    Correct Answer
    C.
  • 4. 

  • 5. 

    In July 2005 the United States imported approximately 10.3 million barrels of oil per day.  Canada supplied about 16% of the imported oil.  Which of these is closest to the number of barrels of oil the United States imported from Canada each day?

    • A.

      5.7 million

    • B.

      1.6 million

    • C.

      2.1 million

    • D.

      0.2 million

    Correct Answer
    B. 1.6 million
    Explanation
    Canada supplied approximately 16% of the 10.3 million barrels of oil that the United States imported in July 2005. To find the number of barrels of oil imported from Canada each day, we can calculate 16% of 10.3 million. This comes out to be 1.648 million barrels. Since we are looking for the closest number, the answer of 1.6 million barrels is the best approximation.

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  • 6. 

    Gabby can assemble 7 music books in 4 minutes.  At this rate, how many music books can she assemble in 2 hours?

  • 7. 

    Correct Answer
    A.
  • 8. 

    Marcos buys 15 folders that cost $0.75 each and 6 pens that cost $1.25 each.  What is the total cost in dollars and cents of the folders and pens, not including tax?

  • 9. 

    • A.

      Between 43 units and 45 units

    • B.

      Between 88 units and 90 units

    • C.

      Between 8 and 9 units

    • D.

      Between 9 and 10 units

    Correct Answer
    D. Between 9 and 10 units
  • 10. 

  • 11. 

    The expression shown below describes a sequence of numbers. 2n + 3 If n represents the position of a number in this sequence, which sequence of numbers does this expression describe?

    • A.

      5, 8, 11, 14, 17, ...

    • B.

      5, 7, 9, 11, 13, ...

    • C.

      2, 3, 5, 8, 13, 21, ...

    • D.

      2, 5, 8, 11, 14, ...

    Correct Answer
    B. 5, 7, 9, 11, 13, ...
    Explanation
    The expression 2n + 3 generates a sequence of numbers where each number is obtained by multiplying the position of the number (n) by 2 and then adding 3. This means that the sequence will start with 3 (when n = 1), then 5 (when n = 2), 7 (when n = 3), and so on. Therefore, the correct answer is 5, 7, 9, 11, 13, ...

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  • 12. 

  • 13. 

    Jodie wants to buy a shirt regularly priced at $20.  The shirt is on sale for 15% off the regular price.  Which equation can be used to determine s, the sale price of the shirt, not including tax?

    Correct Answer
    A.
    Explanation
    The equation that can be used to determine the sale price of the shirt, not including tax, is s = 20 - (0.15 * 20). This equation calculates the discount amount by multiplying the regular price by the discount percentage (15%), and then subtracts that amount from the regular price to get the sale price.

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  • 14. 

    The cost of renting video games at two different video stores is listed below. Best Videos:  $2 per video game plus a $30 membership fee Quality Videos:  $5 per video game and no membership fee For what number of video games is the cost of renting from either store the same?

  • 15. 

    • A.

      F

    • B.

      G

    • C.

      H

    • D.

      J

    Correct Answer
    D. J
  • 16. 

    Alyssa rakes leaves for her neighbors.  She charges $4.00 per hour to rake leaves plus $7.00 to remove the leaves.  She uses the equation below to calculate t, her total earnings based on h, the number of hours she works. How much will Alyssa earn if she works for 3 hours 15 minutes?

  • 17. 

    Tim recorded that 27 out of 63 customers used a shopping cart at a grocery store.  Based on these results, about how many customers out of 350 can be expected to use a shopping cart?

    • A.

      110

    • B.

      260

    • C.

      90

    • D.

      150

    Correct Answer
    D. 150
    Explanation
    Based on the given information, Tim recorded that 27 out of 63 customers used a shopping cart. To find out how many customers out of 350 can be expected to use a shopping cart, we can set up a proportion. The proportion is 27/63 = x/350, where x represents the number of customers out of 350. By cross-multiplying, we get 63x = 27 * 350, which simplifies to 63x = 9450. Dividing both sides by 63, we find that x is approximately equal to 150. Therefore, we can expect about 150 customers out of 350 to use a shopping cart.

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  • 18. 

    Four people plan to drive an equal amount of time during a 16-hour car trip.  The first driver accidentally drives 15% longer than he should have.  If the other three people evenly divide the remaining driving time, how long will each of the three people drive?

  • 19. 

    Which equation best represents the data in the table below? X 0 3 6 9 12 y 3 7 11 15 19

    Correct Answer
    B.
    Explanation
    The equation y = 4x + 3 best represents the data in the table. This is because the y-values increase by 4 each time the x-values increase by 3, and the initial y-value is 3 when x = 0.

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  • 20. 

    Marta is twice as old as Jamie, and Angie is one-fourth the age of Kelly.  Kelly is 8 years older than Marta.  Jamie is 20 years old.  Who is the youngest?

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  • Mar 20, 2023
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  • Dec 08, 2011
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    Dfitzpatrick
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