College Algebra
Content
LYCEUM ALABANG
PRELIM EXAMS in COLLEGE ALGEBRA
I. Tell whether the statement is always, sometimes or never.
1.
2.
3.
4.
5.
The sum of 2 negative numbers is always a negative number.
The difference of 2 negative numbers is sometimes a negative number.
The sum of a positive number and a negative number is sometimes zero.
The sum of two positive numbers is never zero.
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 1
2
8. If the a =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.
3 x2 y 0−6 x y−1
¼
3
A−3
3 a3 +4 a2−3 a+ 7
( 12 ) x y −x y
x2 y3 +
1.
2.
3.
4.
2
5 x y 2 +3 x2 y
4
2
3
3 x2 y−5 x 2 y + 4 x 2 y−x 3 y 2
−a2 b−3
4 x3 y2
2
A
A
A
A
zero degree polynomial.
fifth degree monomial
polynomial with two terms.
polynomial with three terms
3 −3
5. The coefficient of 7a in −7 a b
6. A term which is not a polynomial
r2 s
7. The numerical coefficient of
4 .
8. An expression (not a polynomial) with 2 terms.
9. Polynomial with similar terms.
10.
A third degree polynomial.
III. Evaluate the following.
9 x 3+ 4 x +7 x 2
1. Subtract
from the sum
of
3 x2 −7 x−x3
and
−8 x 2−7 x +8 x 3 .
2. Subtract the sum of
4
5
3
2 x 4 −3 x 2−4 x 2 +2 x−3
2
2 x −7 x −2 x +8 x −6 x +19 .
IV. Perform the indicated operation
and
4 x 4 −2 x3 +x 5−11
from
2
4
2
1. ( x −3 )( x +3 x + 9 )
4
8
4
2. ( 3 x −2 )( 9 x + 6 x + 4 )
3
2
3. ( 3 x −5 x +3 x
2
3
4.
4 x 6 +5 x3 −6
3
4 x −3
5.
3 a 4−2a 3+ 2a 2−4 a−8
a2 +2
6.
(
7.
x −16
x−2
8.
4 x −11 x +3
2 x−3
x 4−
2
)( 3 x +6 x + x )
x3 x2 x 1
+ − + /(x−1)
2 3 4 5
)
4
3
5
3
2
2
9. ( x −2 x −8 x +9 )( 3 x + x−2 )
10.
3
2
3
2
( −3 x −8 x −4 x+ 17 ¿−(6 x −9 x + 9 x −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
PRELIM EXAMS in COLLEGE ALGEBRA
I. Tell whether the statement is always, sometimes or never.
1.
2.
3.
4.
5.
The sum of 2 negative numbers is always a negative number.
The difference of 2 negative numbers is sometimes a negative number.
The sum of a positive number and a negative number is sometimes zero.
The sum of two positive numbers is never zero.
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 1
2
8. If the a =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.
3 x2 y 0−6 x y−1
¼
3
A−3
3 a3 +4 a2−3 a+ 7
( 12 ) x y −x y
x2 y3 +
1.
2.
3.
4.
2
5 x y 2 +3 x2 y
4
2
3
3 x2 y−5 x 2 y + 4 x 2 y−x 3 y 2
−a2 b−3
4 x3 y2
2
A
A
A
A
zero degree polynomial.
fifth degree monomial
polynomial with two terms.
polynomial with three terms
3 −3
5. The coefficient of 7a in −7 a b
6. A term which is not a polynomial
r2 s
7. The numerical coefficient of
4 .
8. An expression (not a polynomial) with 2 terms.
9. Polynomial with similar terms.
10.
A third degree polynomial.
III. Evaluate the following.
9 x 3+ 4 x +7 x 2
1. Subtract
from the sum
of
3 x2 −7 x−x3
and
−8 x 2−7 x +8 x 3 .
2. Subtract the sum of
4
5
3
2 x 4 −3 x 2−4 x 2 +2 x−3
2
2 x −7 x −2 x +8 x −6 x +19 .
IV. Perform the indicated operation
and
4 x 4 −2 x3 +x 5−11
from
2
4
2
1. ( x −3 )( x +3 x + 9 )
4
8
4
2. ( 3 x −2 )( 9 x + 6 x + 4 )
3
2
3. ( 3 x −5 x +3 x
2
3
4.
4 x 6 +5 x3 −6
3
4 x −3
5.
3 a 4−2a 3+ 2a 2−4 a−8
a2 +2
6.
(
7.
x −16
x−2
8.
4 x −11 x +3
2 x−3
x 4−
2
)( 3 x +6 x + x )
x3 x2 x 1
+ − + /(x−1)
2 3 4 5
)
4
3
5
3
2
2
9. ( x −2 x −8 x +9 )( 3 x + x−2 )
10.
3
2
3
2
( −3 x −8 x −4 x+ 17 ¿−(6 x −9 x + 9 x −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
