MAT 097RQ - College Algebra Co-requisite

2 Credits, 2 Contact Hours
2 lecture periods 0 lab periods

Preparation for college algebra. Includes the definition of function and function notation, compound inequalities in one variable, graphs of linear inequalities in two variables, and absolute value equations and inequalities. Also includes rational and radical functions and equations, quadratic functions and their graphs, exponential functions and their graphs, and logarithms. Focus is on skills and topics that help students succeed in MAT 151RQ  .  

Prerequisite(s):  Within the last three years:  MAT 092  with a grade of B or better or placement into MAT 097 .
Corequisite(s): MAT 151RQ  
Information: This class is a supplement to MAT 151RQ   for eligible pre-college ready students.

1. Solve quadratic equations, rational equations that lead to linear or quadratic equations, and radical equations.
2. Graph quadratic and elementary exponential functions.
3. Solve problems involving real world applications.
4. Model effective student success skills.

1. Define and identify a function and use function notation.
2. Solve compound inequalities in one variable and graph linear inequalities in two variables.
3. Solve absolute value equations and inequalities.
4. Simplify and perform operations on rational expressions and solve rational equations.
5. Simplify radical expressions, convert between radical notation and rational exponents, and solve radical equations.
6. Solve quadratic equations by factoring, completing the square, and using the quadratic formula.
7. Graph quadratic functions.
8. Solve applications including literal equations.
9. Convert between exponential and logarithmic equations and evaluate exponential and logarithmic expressions. 
10. Graph elementary exponential functions.
11. Model effective student success skills.

1. Functions
   1. Definition
   2. Identification
   3. Notation
2. Inequalities
   1. Interval notation
   2. Compound
   3. Applications
3. Absolute Value
   1. Equations
   2. Inequalities
4. Rational Expressions and Equations
   1. Domain of rational functions
   2. Addition, subtraction, multiplication, and division of rational expressions
   3. Complex rational expressions
   4. Rational equations including those that result in quadratic equations
   5. Applications including literal equations
5. Radical Expressions and Equations
   1. Domain of radical functions
   2. Addition, subtraction, multiplication, and division of radical expressions
   3. Rationalization of denominators or numerators
   4. Conversion between radical notation and rational exponents
   5. Radical equations
   6. Distance formula
   7. Applications including literal equations
6. Quadratic Equations and Functions
   1. Solve equations by factoring
   2. Complete the square
   3. Quadratic formula and interpretation of the discriminant
   4. Graph quadratic functions
   5. Applications including literal equations  
7. Exponential Functions and Logarithms
   1. Convert between exponential and logarithmic equations
   2. Evaluate exponential and logarithmic expressions
   3. Graph elementary exponential functions
8. Model effective student success skills.
   1. Model effective math study skills

              i. Note-taking skills

              ii. Test-taking skills

              iii.Test review processes

B. Develop a growth mindset

    i.  Attributes of a growth vs fixed mindset

    ii. Growth mindset behaviors and actions

C. Implement strategies to reduce math and test anxiety

      i. Characteristics of anxiety

      ii. Causes of anxiety

      iii. Methods to reduce anxiety

D. Develop time management skills