KING FAHD UNIVERSITY OF PETROLUEM AND MINERALS

Faculty of Science – Math Prep-Year Program

Math 001 - Term 031

 

P.1:

 

Q1) Which of the following statement is TRUE and which is FALSE .State the 

        reason :

         a)  is the multiplicative inverse of  .

         b)  .

         c) 0, 1, 2, 3, 4, … are positive integers .

         d) Every integer is either prime or composite .

         e) Every rational number has a multiplicative inverse .

         f) The set of irrational numbers is not closed under addition and multiplication .

         g) 1 is the only positive integer that is not prime nor composite

         h) 1.7 + is a rational number .

         i) The set { -1,0,1} is closed under addition .

         j)The set { -1,0,1} is closed under multiplication .

         k) 51 is a prime number

         l) every prime number is and odd number .

 

Q2)  Name the property of real number or the property of equality of the following :

1)      (a + b ) + c = c + ( a + b )

2)      (4.x).y = y.(4.x)

3)      (4.)z = 1.z

4)      3 + (-3) = 0

5)      1.z = 1.z

6)      3(x+4) = 3x+12

7)      a(bc) = a(bc)

 

 

Q3) If  A=

            B= ,

 

1-      List all elements of A and B

 

 

 

 

 

2-      Find AB

 

 

 

 

P.2:

 

Q1) Which of the following statement is TRUE and which is FALSE .State the 

        reason :

          a) If  and , then .

          b)  The distance between  and -3 is  is   .

          c) = .

          d) The distance between two points in real in the real line is always positive .

          e) is positive.

          f) If  , then  .

          j) If  , then .

          h) If  , then.

          k) .

         

 

Q2)  Write the following expressions without the absolute value notation :

 

       1-

 

 

 

       2-

 

 

 

     3-

 

 

 

 

 

Q5 Given the inequality  or ,

1-      Graph the given inequality on a real line .

2-      Write the given inequality as an interval notation .

 

 

 

 

 

 

P.3:

 

Q1) Simplify Each of the following expressions:

        

 

      

 

 

 

 

        b.

      

 

 

 

Q2) Find the value of each of the following :

      

 

      

 

 

       . Write the answer in scientific notation.

 

 

Q3) Rationalize the denominator in the following :

       

    

 

 

    

 

 

 

     

 

 

 

 

 

 

P.4:

 

Q1) Given the polynomial

        a. Write this polynomial in the standard form .

 

 

 

 

 

 

 

 

        b. Complete the following table :

The leading coefficient is

The constant term is

The coefficient of x is

 

 

 

 

            

 

 

 

 

Q2) Which of the following is a polynomial :

 

         a.                      b. 5                  c.                   d.

 

 

         e.              f.       g.               h.

 

 

         i.              j.        k.       

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

P.5:

 

Q1) Factor each of the following completely :

 

        

 

 

        

 

 

         

 

 

 

           

 

 

 

            

 

 

 

          

 

 

 

 

           

 

 

       

 

 

Q2) Find all positive values of k such that is a perfect-square

        trinomial.

 

 

 

 

 

 

 

 

 

 

 

 

 P.6:

 

Simplify :