Midterm                                                             Name: _____________

  1. a) Give the sign (positive or negative) of the answer to each the following problems:

                        (-3)/(-4)           (3)·(-4)             (-3)·(-4)          (-3)·(4)             (-3)/(4)

b) What is the rule for the sign of a product or quotient of two quantities?

  1. a) Give the sign  (positive or negative) of the answer to each the following problems:

 22 – 12        22+12     12 – (-22)        12 + (-22)        Sum of –12 and –22

b) What is the rule for the sign of a sum or difference of two quantities?

  1. What is the sign of the answer to each of the following problems if x is negative?

                -2x               5x                    2x/1000           -50x/10000

  1. If n is a number such that the absolute value of n is less than 8, then n must lie between which two numbers?
  2.    (multiply two fractions, represent result as a proper fraction)
  3.  (divide two fractions, represent result as a proper fraction)
  4.  (show and explain all steps, represent result as a proper fraction)

8.      What is a common denominator of  and ?

  1. Find the median of {y, y+1,y+4,y+11}
  2. Find the mean of {y, y+1,y+4,y+11}
  3. Give a real life example of a variable.
  4. Give an example of a quantity that can be seen as a variable or a constant, and describe under which point of view it would be variable and under which constant.
  5. Evaluate -5(3 - x) + 3x + 1 for x = -2
  6. Create a table of values for the expression 3(2x-5) for x ranging from –2 to 2.
  7. If a phone company charges a $10 per month plus $.08 per minute of call time, how many minutes did a person call whose bill for the month was $20.88 ?
  8. 60 is 8% of what? (Show all your steps)
  9. If Mary had to pay $5 sales tax for a coat, and if the sales tax rate was 8.5%, what was the price of the coat before tax?
  10. What do we mean by “proportion”? Give a definition and an example (illustration).
  11. Solve for x and check:  . Be sure to show all steps.
  12. The numerator of a fraction is 10 less than the denominator. The value of the fraction is  . Find the original fraction.
  13. What are the three methods for indicating a scale on a plan or drawing?
  14. If 2 inches on a plan represent 40 feet in reality, what is the scale as a numeric ratio?
  15. If a room width appears as 2 ¼ ” on a plan of scale 1 : 80 , how wide is the room in reality?
  16. How long do you have to draw a 60 feet long barn on a plan of scale 1 : 100 ?
  17. How long do you have to draw a 200 foot long bridge on a map on which 1 inch represent 60 feet? (Answer in inches and eighths of inches as a mixed number).