# Course Outline for Integrated Algebra and Geometry II

**Course Description**

This course is the second in a two-part sequence covering elementary algebra
topics. Students will extend

their basic algebra skills to include simplifying, performing operations with,
and solving equations

involving square roots. Systems of equations will be solved graphically and
algebraically. The quadratic

formula and graphing a quadratic equation will be introduced. Application
problems will include the use

of the Theorem of Pythagoras. After successfully completing this course,
students should register for

intermediate algebra. The course is taught using compute-assisted instruction.
You must plan to spend

extra time on campus in our open computer labs.

Prerequisite: MATH 064

**Overall Course Objectives**

Upon successful completion of this course, the student will be able to:

1. Solve a system of linear equations in two variables.

2. Graph a system of linear inequalities in two variables.

3. Solve application problems in two variables including percent mixture.

4. Determine corresponding parts of similar polygons.

5. Combine and simplify expressions involving radicals.

6. Solve radical equations.

7. Solve application problems involving radicals.

8. Apply the Pythagorean Theorem.

9. Apply the quadratic formula to application problems.

**Major Topics**

Systems of two equations with two unknowns

Graphing method; Substitution method; Elimination method

Application problems including percent mixture

Graphing linear inequalities

Radical Expression and Equations

Pythagorean Theorem

Multiplying and simplifying radicals

Quotients involving radicals

Addition and subtraction of radicals

Radical equations

Quadratic Equations

Quadratic formula

Application problems

Graphing a quadratic equation

The following topics will be reviewed.

Exponents and Polynomials

Integer exponents

Applications using scientific notation and unit analysis

Surface area and volume of prisms

Add, subtract, multiply and divide polynomials

Factoring

Greatest common factor

x^{2}+bx+c by trial and error; ax^{2}+bx+c by ac method

Difference of squares

Quadratic equations that factor; application problems

Rational Expression and Equations

Combining rational expressions and simplifying

Solving rational equations

Ratio and proportion; similar polygons

Formulas; Variation

**Course Requirements
**

Grading policies are determined by the division but will include a comprehensive final exam. Credits

awarded for the completion of this course do not fulfill degree requirements in any degree or certificate

program and are not transferable to four-year colleges.

**Academic Honesty as defined in the student handbook is required of all students.**