DE 060 Elementary Algebra

I. Review Concepts of Arithmetic

A. Order of operations.

B. Real numbers.

C. Basic operations of real numbers.

D. Properties of addition and multiplication.

E. Simplifying expressions.

II. Linear Equations and Applications

A. Solving linear equations.

B. More on solving linear equations.

C. Applied problems.

D. Formulas and geometry applications.

E. Ratio and proportion; percent.

III. Linear Inequalities and Absolute Value

A. Linear inequalities in one variable.

B. Set operations and compound inequalities.

*C. Absolute value equations and inequalities.

IV. Linear Equations and Inequalities in Two Variables; Functions.

A. The rectangular coordinate system.

B. The slope of a line.

C. Linear equations in two variables.

*D. Linear inequalities in two variables.

E. An introduction to functions.

F. An application of functions: variation.

V. Systems of Linear Equations

A. Solving systems of linear equations by graphing.

B. Solving systems of linear equations by addition.

C. Solving systems of linear equations by substitution

D. Applications of linear systems.

VI. Exponents and Polynomials

A. Rules for exponents

B. Addition and subtraction of polynomials.

C. Multiplication of polynomials.

D. Product patterns and dividing by monomials.

E. The quotient of two polynomials.

VII. Factoring

A. Factors; the greatest common factor.

B. Factoring trinomials.

C. Special factorizations.

D. Solving quadratic equations by factoring.

E. Applications of quadratic equations.