MATH 100 - Intermediate Algebra

3 Credits: (3 lecture)

Course Description
This course is the study of real numbers and operations with polynomials. Other topics include linear equations and inequalities, systems of equations in two variables, solving equations by factoring, exponents, complex numbers, the quadratic formula, and rational equations.  This course meets the General Education Competency of Quantitative Reasoning (QR).

 

Prerequisite Pass MATH 090 or MATH 091 with a “C” or better or appropriate score on placement test.

Martin-Gay, E. (2020). Intermediate algebra w/MyLab Math (6th ed.). Upper Saddle River, NJ: Pearson.

OR

 Schmitz, A. (2012).  Intermediate algebra. Saylor Academy Open Textbooks.https://saylordotorg.github.io/text_intermediate-algebra/

Objectives
The student will be able to:

A. Identify sets of real numbers and use properties of real numbers.

B. Solve linear equations, linear inequalities and systems of linear equations.

C. Utilize the exponent rules for integer and rational exponents.

D. Add, subtract, multiply, divide and factor polynomials.

E. Simplify radical expressions and solve radical equations.

F. Graph relations and functions.

G. Use mathematical operations on rational expressions and solve rational equation.

H. Solve quadratic equations.

I. Solve applications (word problems). (QR)

J. Solve problems involving formulas. (QR)

K. Solve equations using methods, rules or techniques. (QR)

Content
A. Sets and their operations

B. Linear equations and linear inequalities

C. Numbers and number operations

D. Absolute value equations and inequalities

E. Graphing linear equations

F. Slope and forms of a line

G. Relations, functions and their graphs

H. Systems of equations

I. Exponents and Radicals

J. Polynomials and factoring

K. Rational and radical expressions

L. Rational and radical equations

M. Complex numbers and operations

N. Quadratic equations

Student Evaluation
Objectives A, B, C, D, E, F, G, H, I, J, and K will be evaluated using examinations, a departmental midterm, and a comprehensive departmental final examination. The comprehensive departmental final must be worth 20% of each student’s final grade.