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 :