Content

Outline/Topics

1. Rules of algebra
   • variables
• addition, subtraction, multiplication & division of positive & negative numbers
• simplifying variable expressions
2. Linear equations
• writing, solving, graphing one and two variables (include fractions and decimals)
3. Introduction to systems of linear equations
• study of slopes
• writing, solving via graphing, substitution, elimination
4. Introduction to systems of inequalities
• writing, solving, and graphing
5. Exponents, powers, and functions
6. Polynomials and factoring
• addition, subtraction, multiplication, & division
• graphs of quadratics
7. Introduction to rational expressions
• ratios, proportions, addition & subtraction w/ like denominators
• simple examples with unlike denominators
8. Introduction to radical expressions
• properties of square roots¹
• simplifying square roots
• distance formula
• Pythagorean Theorem
9. Quadratic equations
• writing, solving by factoring and graphing
  (Completing the square and quadratic formula less important here)

1Only square roots (not cube roots etc.) are to be covered in algebra 1.