Chemistry Algebra Pre-Test

Stuff you should probably know already:

1.  Write 3/5 as a decimal number.  _____________

2.  What is the reciprocal of 3/5? (leave answer as a fraction)  ______________

3.  Write 0.000045 in scientific notation  __________________

4.  Write 4500 in scientific notation         _______________

5.  Write 3.45 x 105 in decimal form        ________________

6.  Write 3.45 x 10-5 in decimal form       ________________

 

Stuff you may or may not know already:

 

7.   For Your Information:   The equation for density is: D = m/v where D = density, m = mass and v = volume.

 

       Question:  Re-arrange this equation so that v is on one side of the equation, and D and m are on the other side.  NO NUMBERS!   ONLY RE-ARRANGE THE LETTERS OF THE FORMULA

 

                         v = ________________

 

Fun with Conversions!  (Leave your answer in standard scientific notation)

For Your information:  10-3 Km = 1m and 102 cm = 1m

 

8.    1609 m is how many Km?  _____________

 

9.    How many cm are in 500 Km?  ________________

 

10.  Convert 30 cm2 to m2   ______________

 

11.  Convert 80 cm2 to Km2  _____________

 

Fun with Fractions:

12.  Solve this problem and leave your answer as a fraction (five sixths divided by four fifths)

            5/6 

            4/5

 

Interpreting Values and re-arranging formulas:

13.  Consider the following mathematical equation:  D = m/v.  D = density,  m = mass,  v = volume

and answer letters a-d with either: (Increases, Decreases or Stays the Same).  HINT:  Sometimes it helps to substitute numbers in for the letters so you can see if it is increasing/decreasing/stays same.

 

            a.  If v increases and m stays the same, what would happen to D? _________  

            b.  If D increases and m stays the same, what would happen to v?  ________

            c.  If m decreases and D stays the same, what would happen to v?  ________

            d.  If m decreases and v stays the same, what would happen to D?  ________

 

Multiplying and dividing Scientific Notation:

 

14.   6.00 x 105   =  ____________________

        2.00 x 103

 

15.  (3.00 x 105) x (2.00 x 10-4) = _________________

 

Significant Digits:  How many significant digits are in the following numbers:

22.  0.000034  ___________           25.  5000001 _______________

23.  0.003040  ___________           26.  5000.      _______________

24.  50000______________            27.  100.001 _____________

If you don’t know how to do significant digits, you might check under the notes section of the Chemistry website.  There is a hyperlink there which will help you.