MATH-063 Introduction to Elementary Algebra

This course covers the topics in the middle units in the sequence. The student will simplify expressions involving integer exponents, combine polynomials using addition, subtraction, multiplication, and division, and simplify rational expressions and radicals. Students will solve systems of two linear equations both algebraically and graphically. Methods of factoring second-degree polynomials and applications involving factoring and scientific notation will also be included. Students will solve quadratic equations and related applications using factoring and the quadratic formula. Accelerated students will solve problems using ratios and proportions, the Pythagorean Theorem, distance and midpoint formulas. All sections require the use of the interactive computer program that comes with the software code. 

Credits

4

Prerequisite

Only students who have earned a C in MATH-061 are eligible to register for MATH-063

Hours Weekly

4 hours computer-based instructional lab, 1.5 hours recitation weekly

Course Objectives

1. 1. Translate and solve application problems by using a system of two linear equations with two
   unknowns.
2. 2. Use a combination of exponent properties to simplify expressions with integer exponents.
3. 3. Divide a polynomial by a monomial and a binomial.
4. 4. Combine and simplify expressions involving radicals.
5. 5. Solve quadratic equations by factoring and the square root method
6. 6. Apply the quadratic formula to solve application problems.
   
7. 7. Multiply and divide polynomial rational expressions.
   
8. 8. Solve various problems involving similar triangles.
9. 9. Solve problems involving midpoint and distance between two points.
10. 10. Use the Means/Extremes Product Property to solve proportion problems.
    
11. 11. Solve applied problems involving direct and inverse variation.
12. 12. Develop skills needed to use technology appropriately as a learning tool.
    

Course Objectives

1. 1. Translate and solve application problems by using a system of two linear equations with two
   unknowns.
2. 2. Use a combination of exponent properties to simplify expressions with integer exponents.
3. 3. Divide a polynomial by a monomial and a binomial.
4. 4. Combine and simplify expressions involving radicals.
5. 5. Solve quadratic equations by factoring and the square root method
6. 6. Apply the quadratic formula to solve application problems.
   
7. 7. Multiply and divide polynomial rational expressions.
   
8. 8. Solve various problems involving similar triangles.
9. 9. Solve problems involving midpoint and distance between two points.
10. 10. Use the Means/Extremes Product Property to solve proportion problems.
    
11. 11. Solve applied problems involving direct and inverse variation.
12. 12. Develop skills needed to use technology appropriately as a learning tool.