LYCEUM ALABANGPRELIM EXAMS in COLLEGE ALGEBRA

I. Tell whether the statement is always, sometimes or never.

1. The sum of 2 negative numbers is always a negative number.2. The difference of 2 negative numbers is sometimes a negative number.3. The sum of a positive number and a negative number is sometimes zero.4. The sum of two positive numbers is never zero.5. The sum of a positive number and a negative number is sometimes a negative number.6. The difference between a positive number and zero is sometimes a negative number.7. The quotient of zero and zero is 18. If the a2=4, the a=2.9. Division is commutative.10. Terminating Decimals are included in the sets of irrational numbers.

II. Identification. Identify the given statement from the choices in the box.

¼ 3 x2 y0−6 x y−1 4 5 x y2+3 x2 y 3 x2 y−5 x2 y+4 x2 y−x3 y2

3A−3 3a3+4a2−3a+7 −a2b−3 4 x3 y2

x2 y3+(12 )x2 y2−x3 y2

1. A zero degree polynomial.2. A fifth degree monomial3. A polynomial with two terms.4. A polynomial with three terms5. The coefficient of 7a in −7a3b−3

6. A term which is not a polynomial

7. The numerical coefficient of r2 s4

.

8. An expression (not a polynomial) with 2 terms.9. Polynomial with similar terms.10. A third degree polynomial.

III. Evaluate the following.1. Subtract 9 x3+4 x+7 x2 from the sum of 3 x2−7 x−x3 and −8 x2−7 x+8 x3.2. Subtract the sum of 2 x4−3 x2−4 x2+2 x−3 and 4 x4−2 x3+ x5−11 from 2 x4−7 x5−2 x3+8 x2−6 x+19.

IV. Perform the indicated operation1. (x2−3)(x4+3 x2+9)2. (3 x4−2)(9 x8+6 x4+4)3. (3 x3−5 x2+3 x2)(3 x3+6 x2+x)

4.4 x6+5 x3−64 x3−3

5.3a4−2a3+2a2−4a−8

a2+2

6. (x4− x32 + x2

3− x4+ 15 )/(x−1)

7. x4−16x−2

8. 4 x3−11 x+32 x−3

9. (x5−2 x3−8 x2+9)(3 x2+x−2)10. (−3 x3−8 x2−4 x+17¿−(6 x3−9 x2+9x−28)

Prepared by:

Crisostomo Calitina

Noted:

Prof. Fe Hablanida

If any lack WISDOM, let him ask of GOD, that giveth to ALL MEN liberally , and upbraideth not; and it shall be given him. – James 1:5