MA114 - Intermediate Algegra
This course is a comprehensive Algebra course leading to College Algebra - MA116. The course is designed for students with at least 1 1/2 - 2 years of high school Algebra, or completion of MA102 or equivalent. MA114 is worth 4 credits towards graduation.
Students are expected to have a good understanding of basic mathematical and algebraic skills and their applications, polynomials, and first degree factoring. It involves a study of real number systems, variable expressions, and solving equations.
Admission to the course requires a you to be able to master the following objectives.
Chapter 6 (From MA102)
A. To simplify a rational expression B. To multiply rational expressions C. To divide rational expressions D. To find the least common multiple (LCM) of two or more polynomials E. To express two fractions in terms of the LCM of their denominators F. To add or subrtact rational expressions with the same denominators G. To add or subtract rational expressions with different denominators H. To simplify a complex fraction
I. To solve an equation containing fractions
J. To solve a proportion K. To solve problems involving similar triangles L. To solve a literal equation for one of the variables M. To solve work problems N. To solve uniform motion problems A sample of each of these objectives follows:
A. To simplify a rational expression
Simplify B. To multiply rational expressions
Simplify • (x2 - 5x + 6) (x2 - x - 2) C. To divide rational expressions
Simplify ÷ (x2 - 5x + 6) D. To find the least common multiple (LCM) of two or more polynomials
What is the LCM of 8uv2 and 12uw ? Ans: 24uv2w
E. To express two fractions in terms of the LCM of their denominators
Write the following fractions in terms of the LCM of the denominators
and 8xy + 16y and 24x2y F.To add or subrtact rational expressions with the same denominators
Add
and 2x + 1 3x2-2y G. To add or subtract rational expressions with different denominators
Add
H. To simplify a complex fraction
Simplify
I. To solve an equation containing fractions
J. To solve a proportion
K. To solve problems involving similar triangles
L. To solve a literal equation for one of the variables
M. To solve work problems
N. To solve uniform motion problems
Chapter 7 (From MA102)
To graph points in a regular coordinate system To determine ordered pair solutions of an equation in two variables To determine whether a set of ordered pairs is a function To evaluate a function written in functional notation To graph an equation of the form y = mx + b To graph an equation of the form Ax + By = C To find the x and y intercept of straight lines To find the slope of a straight line To graph a line using the slope and y- intercept To find the equation of a line given a point and the slope To find the equation of a line given two points
A sample of each of these objectives follows:
A. To graph points in a regular coordinate system
B. To determine ordered pair solutions of an equation in two variables
C. To determine whether a set of ordered pairs is a function
D. To evaluate a function written in functional notation
E. To graph an equation of the form y = mx + b
F. To graph an equation of the form Ax + By = C
G. To find the x and y intercept of straight lines
H. To find the slope of a straight line
I. To graph a line using the slope and y- intercept
J. To find the equation of a line given a point and the slope
K. To find the equation of a line given two points
Chapter 8 (From MA102)
To solve a system of linear equations by graphing To solve a system of linear equations by the substitution method To solve investment problems To solve a system of linear equations by the addition method To solve rate-of-wind or rate-of-current problems To solve application problems using two variables A sample of each of these objectives follows:
A. To solve a system of linear equations by graphing
B. To solve a system of linear equations by the substitution method
C. To solve investment problems
D. To solve a system of linear equations by the addition method
E. To solve rate-of-wind or rate-of-current problems
F. To solve application problems using two variables
Chapter 9 (From MA102)
To write a set using the roster method To write a set using the set builder notation To graph an inequality in the number line To solve an inequality using the Addition Property of Inequalities To solve an inequality using the Multiplication Property of Inequalities To solve general inequalities To graph an inequality in two variables A sample of each of these objectives follows:
A. To write a set using the roster method
B. To write a set using the set builder notation
C. To graph an inequality in the number line
D. To solve an inequality using the Addition Property of Inequalities
E. To solve an inequality using the Multiplication Property of Inequalities
F. To solve general inequalities
G.To graph an inequality in two variables
Chapter 10 (From MA102)
To simplify numerical radical expressions To simplify variable radical expressions To add and subtract radical expressions To multiply radical expressions To divide radical expressions To solve an equation containing a radical expression A sample of each of these objectives follows:
A. To simplify numerical radical expressions
B. To simplify variable radical expressions
C. To add and subtract radical expressions
D. To multiply radical expressions
E. To divide radical expressions
F. To solve an equation containing a radical expression
Chapter 11 (From MA102)
To solve quadratic equations by factoring To solve a quadratic equation by taking the square root To solve a quadratic equation by completing the square To solve a quadratic equation by completing the square To graph a quadratic equation of the form y = ax2 + bx + c = 0 To solve application problems in all of the above areas A sample of each of these objectives follows:
A. To solve quadratic equations by factoring
B. To solve a quadratic equation by taking the square root
C. To solve a quadratic equation by completing the square
D. To solve a quadratic equation by completing the square
E. To graph a quadratic equation of the form y = ax2 + bx + c = 0
F. To solve application problems in all of the above areas
PLACEMENT TEST
Our purpose in having you write a placement test is to attempt to put you in the highest level math course that you can comfortably handle. If you feel you understand the above objectives and examples quite well, then click on the MA114 Test button below to write the MA114 Placement Test.
To look at the course objectives for any of the other courses, click on the respective courses buttons.