Name________________________________  Date ________________________

 

Mat 0024C Quiz 1  Chapters 1 & 2

 

Show all work on the scrap paper and write the letter in the space provided.

 

A. Given the following set of numbers, classify them.

 

 

1. Select the natural number:         

 

                    a.  1/2        b.  -10        c.  4        d.  Ö3        ________

 

2. Select the whole number:         

 

                     a.  2.5        b.  3 1/2         c.  -3        d.  0     ________

 

3. Select the integer:                       

 

                    a.  - 6.3        b.  100        c.  2/9        d.  2 1/5    ________   

 

4. Which of the following numbers is not a rational number?   

 

                    a.  π        b.  0.666...        c.  2/5        d.  -9          ________

                                                  

5. Which of the following numbers is a periodic decimal?    

 

                      a.  -1/9        b.  3        c. 25        d.  π              ________

 

6. Which of the following sets does not include 0:        

 

                     a.  Rational        b. Irrational        c. Natural        d. Whole        ________

 

B. Translate the following word phrases into algebraic expressions:

 

1.            Twice a number plus 18.                                                                               _______

 

            a.  2x + 18        b.  x2  + 18        c.  2( x + 18)        d.  18 + x2

 

2.            15 subtracted from the total length  L.                                                             ________

 

            a.  15 - L        b.  L - 15            c.  15 + L                d.  15 ( L ) 

 

 

3.            The difference of the absolute value of  a and 10.                                               _______

 

            a.  | a - 10 |        b.    | 10 - a |     c.    | a  |  - 10        d.  10 -    | a  |

 

4.            The quotient of d and 4, reduced by  15.                                                            ________

 

            a.  4d - 15        b.  15 - d/4        c.  d/4 - 15        d.  4 - 15/d

 

 

 

 

5.            The ratio of 1,000 and  n. _______________________

 

            a.  1000/n        b.  n/1000        c.  1000n        d.  1000 + n                              ________

 

 

C.  Simplify the expressions using the Order of Operations:

 

1.                                                                                                       ________

 

        a.  91        b.  11        c.  19        d.  37

 

2.                                                                                                 ________

 

        a.  -30        b.  8        c.  -32        d.  -24

 

3.                                                                                                        ________

 

        a.  15/13        b.  -5        c.  -5/7        d.  -85/13

 

D.  Evaluate the following expressions given that x = 3, y = -2, z = -4.

 

1.                                                                                                                   ________

 

        a.  1/5        b.  0        c.  -6/5        d.  -1/3

 

E.  Simplify the expression by combining like terms:

 

1.                                                                               ________

 

        a.  2a - 6b - + 15        b.  -2a - 6b + 20        c.  -6b        d.  2a - 6b

 

 

F.  Solve each equation and indicate the solution, or  if it is an identity or a contradiction:

 

1.                                                                                       ________

 

        a.  s = -3        b.  identity        c. contradiction        d.  s = -13/2  

 

 

 

2.  5 (x + 3) - 3x = 2 ( x + 8)                                                                             ________

 

        a.  x = 5        b.  contradiction        d.  identity        d.  x = 0

 

 

 

 

 

 

 

G.  Solve each problem.

 

  1. Find the markup on a CD player whose wholesale cost is $219 and whose retail price is $395.    ______

 

a.  $614        b.  $219        c.  $176        d.  $395

 

  1. To the nearest feet, find the area of a circle with a diameter of 20 feet.  Assume π = 3.14.            ______

 

a.  314 sq. feet        b.  63 sq. feet        c.   628 sq. feet        d.  31 sq. feet

 

  1. To the nearest inch, find the volume of a cube  with side 12 centimeters long.                               ______

 

a.  36 cu. cm.        b. 144 cu. cm.        c.  168 cu. cm.        d.  1,728 cu. cm.

 

  1. A 45-foot long speaker wire is to be cut into three pieces. One piece is to be 15 feet long.  Of the remaining pieces, one must be two feet less than three times the other. Find the length of the middle-sized piece of wire.                                     

                                                                                                                                                            _____

a.  22 feet        b.  15 feet        c. 8 feet        d.  45 feet

 

  1. The speed of sound is 1,088 feet per second.  Haw far will it travel in 1 hour?                              _____

 

a.  1,088 feet        b.  18 feet        c.  3,916,800 feet        d.  65,280

 

 

 

 

H.  Solve the equations for the specified variable.

 

 

1.                                                      ____________________

 

        a.   L = P - 2W        b.  L = P/2 - 2W        c.  L = P/2  +  W        d.  L = P/2 - W

 

 

2.                                                    ______________________

 

        a.  C = 5F - 160        b.  C = 5F/9 - 160/9        c.  C = 5F/9 - 160        d.  C = 5F/9  +  160/9