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PIMA COMMUNITY COLLEGE
Effective Term: Fall 2015
MAT
123
Pre-College Algebra
Credit Hours: 5.00
Lecture Periods: 5.00
Lab Periods:
Description:
Basic and intermediate algebra concepts. Includes translating written statements into algebraic
expressions, linear equations, linear inequalities, graphing, integer exponents, and polynomials. Also
includes factoring, rational and radical expressions and equations, square roots, quadratic equations,
functions, exponential and logarithmic expressions.
Prerequisite(s): Within the last three years: MAT 086 with a B or better or required score on the
mathematics assessment
Information: No more than 3 credit hours can be applied toward graduation for MAT 122, 122Z and/or
123. Access to a scanner required for Math classes taken online. Not a university level course.
Student Learning Outcomes:
Upon successful completion of the course, the student will be able to:
1. Solve linear, absolute value, quadratic, rational, and radical equations, linear and absolute value
inequalities, and linear systems in two and three variables.
2. Graph linear, quadratic, and elementary exponential equations, and linear inequalities.
3. Solve problems involving real world applications.
Performance Objectives:
Upon successful completion of the course, the student will be able to:
1. Find distance and midpoint between two points.
2. Calculate slopes of lines, determine equations of lines and graph lines.
3. Solve and graph linear inequalities and compound linear inequalities and graph in 1-D and 2-D.
4. Solve systems of two and three linear equations and interpret geometrically.
5. Absolute value equations and inequalities.
6. Factor polynomials and solve related equations.
7. Operations on square root expressions.
8. Solve quadratic equations taking roots and quadratic formula, completing the square and interpreting the
discriminant and graph parabolas.
9. Combine rational expressions, simplify and solve. Include quadratic rational expressions
10. Laws of exponents including fractional exponents and radical expressions.
11. Define and identify functions, use function notation and determine basic domains.
Outline:
I.
II.
Distance and midpoint between two points
A.
Distance calculations
B.
Midpoint calculations
Lines in the Plane
A.
Determine slopes of lines
B.
Write the equation of a line
1. Given two points
2. Given a point and a slope
III.
IV.
V.
VI.
VII.
VIII.
IX.
X.
XI.
3. Give a point and a parallel or perpendicular line
C.
Graph lines
D. Applications
Inequalities
A.
Interval notation
B.
Compound Inequalities
C.
Linear inequalities with two variables
D.
Applications
Systems of Linear Equations
A.
Graphical representation of systems with two variables
B.
Elimination and substitution methods for two variables
C.
Geometrical interpretation of consistent, inconsistent and independent systems
D.
Applications for two variables
E.
Algebraically solve systems with three variables
F.
Geometrical interpretation of consistent, inconsistent and independent systems of three variables
G. Applications for three variables
Absolute Value
A.
Solve equations
B.
Solve inequalities
Polynomials
A.
Factoring
1. Grouping
2. Binomials
3. Substitution methods
4. Sum and difference of cubes
B.
Solve equations by factoring
Square roots
A.
Evaluate
B.
Simplify
C.
Perform operations
Quadratic equations
A.
Completing the square
B.
Quadratic formula and the discriminant
C.
Graphs of parabolas
D.
Applications
Rational Expressions and Equations
A.
Reduce and build
B.
Basic operations (addition, subtraction, multiplication and division)
C.
Simplify complex rational expressions
D.
Solve rational equations including those involving quadratic equations
E.
Applications
Radical and Exponential Expressions and Equations
A.
Apply laws of exponents for integer exponents
B.
Scientific Notation
C.
Convert between rational and radical exponent notation
D.
Apply laws of exponents to rational exponential expressions
E.
Addition, subtraction, multiplication and division of radical expressions
F.
Rationalizing denominators
G. Radical equations
H.
Applications
Functions
A.
Definitions
B.
Identification
C.
Notation
D.
Domains