University of Mindanao  Main Campus (Matina, Davao City)
College Algebra for Engineering
MATH MATH 101

Summer 2016
Exercise 1.0
Real Numbers and Algebraic Expressions
Name: _ Date: _
Course/Year/Section: _ Score: _
I.
Identify if the given number is rational or irrational.
1. 6
_
5
2. 2 7
_
3.
5
_
4.
3
4
_
5. 0
_
University of Mindanao  Main Campus (Matina, Davao City)
College Algebra for Engineering
MATH MATH 101

Summer 2016
Exercise 1.1
Addition/Subtraction of Polynomials
Name: _ Date: _
Course/Year/Section: _ Score: _
I.
Perform the indicated operations and simplify:
1.
( 7 x 39 x 2+ 5 x3 ) + ( 8 x 3+ 2 x 26 x +3 )
2.
(
University of Mindanao  Main Campus (Matina, Davao City)
College Algebra for Engineering
MATH MATH 101

Summer 2016
Exercise 1.4
Special Products
Name: _ Date: _
Course/Year/Section: _ Score: _
Find the product of the following:
I.
Square of the Binomial
2
1.
(8 x+ 5 y )
2.
6
7
( m n)
7
9
3.
(0.8 p+0.9 q)2
2
II.
Su
University of Mindanao  Main Campus (Matina, Davao City)
College Algebra for Engineering
MATH MATH 101

Summer 2016
Exercise 1.5
Factoring
Name: _ Date: _
Course/Year/Section: _ Score: _
Factor the following completely:
I.
II.
III.
Common Monomial Factor
3
2
1.
11 y 22 y + 11 y
2.
16 a3 b3 +24 a4 b3
3.
9 c d +24 c
University of Mindanao  Main Campus (Matina, Davao City)
College Algebra for Engineering
MATH MATH 101

Summer 2016
Exercise 1.6
Factoring
Name: _ Date: _
Course/Year/Section: _ Score: _
I.
II.
Factor each of the following completely. Factor by Grouping.
3
2
1.
t 3 t +2 t6
2.
16 x3 + 8 x 2 +2 x+1
3.
k y 4 ky +2 y8
University of Mindanao  Main Campus (Matina, Davao City)
College Algebra for Engineering
MATH MATH 101

Summer 2016
Exercise 6.1
Applications of Systems of Linear Equations
Name: _ Date: _
Course/Year/Section: _ Score: _
Use systems of linear equations to solve each word problem.
1. On January 22nd, 2006, Kobe Brya
University of Mindanao  Main Campus (Matina, Davao City)
College Algebra for Engineering
MATH MATH 101

Summer 2016
Exercise 1.3
Division of Polynomials
Name: _ Date: _
Course/Year/Section: _ Score: _
I.
II.
Find the quotient of the following expressions:
1.
24 h2 k +56 hk 228 hk
16 h2 k 2
2.
20 x 4 y 21 5 x2 y 3 +
University of Mindanao  Main Campus (Matina, Davao City)
College Algebra for Engineering
MATH MATH 101

Summer 2016
Exercise 6.0
Systems of Linear Equations
Name: _ Date: _
Course/Year/Section: _ Score: _
I.
Use elimination method to solve each system of equations. If the system does
not have exactly one solution,
University of Mindanao  Main Campus (Matina, Davao City)
College Algebra for Engineering
MATH MATH 101

Summer 2016
Exercise 1.7
Factoring: Special Products
Name: _ Date: _
Course/Year/Section: _ Score: _
I.
Factor the following using Special Products
2
1.
d 144
2.
9 r 24
3.
4 v 1
4.
16 h 36
5.
5 n 20
6.
125 u + 45
University of Mindanao  Main Campus (Matina, Davao City)
College Algebra for Engineering
MATH MATH 101

Summer 2016
Exercise 1.2
Multiplication of Polynomials
Name: _ Date: _
Course/Year/Section: _ Score: _
I.
Find the product of the following expressions.
1.
(8 t 2 )(4 t 55 t 4 +7 t 3+ t 23 t1)
2.
(5 k +3 k +3)(3