1. Using Formulas and Variables.
Evaluate formulas using substitution.
Complete input-output tables for given formulas.
Complete input-output tables for relationships represented as graphs.
Recognize and complete patterns.
Complete input-output tables for a given formula and plot the values as points on a rectangular coordinate system.
Solve application problems.
Summary of mathematical and calculator concepts.
Problems.
2. Solving Linear Equations.
Recognize equations and expressions.
Solve linear equations numerically using input-output and calculator tables.
Solve linear equations graphically using paper-pencil and calculator graphs.
Simplify expressions using the distributive law.
Solve equations with parentheses graphically, numerically using tables, and algebraically.
Set up and solve linear equations from applications.
Summary of mathematical and calculator concepts.
Problems.
3. Simplifying Expressions.
Simplify variable expressions involving addition, subtraction, multiplication, and division.
Simplify variable expressions involving integer exponents.
Calculate area and perimeter of geometric figures with dimensions given as variable expressions.
Use scientific notation to estimate answers.
Use scientific notation to solve problems with very large or very small numbers.
Summary of mathematical and calculator concepts.
Problems.
4. Linear Equations and Inequalities.
Solve fractional equations and proportions.
Solve direct variation equations.
Solve percent equations.
Solve literal equations.
Solve inequalities in one variable and write inequalities in both interval and inequality notation.
Graph inequalities on a number line.
Summary of mathematical and calculator concepts.
Problems.
5. Slope and Equations of Lines.
Find the slope and Y-intercept of a line given its equation or its graph.
Sketch the graph of a line using the slope-intercept method.
Write the equation of a line given its graph.
Write the equation of a line given two points of the line.
Write the equation of a line given the slope and a point.
Summary of mathematical and calculator concepts.
Problems.
6. Factoring and Quadratic Equations.
Factor using the distributive law.
Factor differences of perfect squares.
Factor trinomials.
Solve quadratic equations algebraically, graphically, and numerically.
Use graphical and numerical methods to approximate factors.
Add, subtract, multiply, and divide rational expressions.
Use factoring to solve rational equations.
Solve applications.
Summary of mathematical and calculator concepts.
Problems.
7. Systems of Linear Equations.
Solve systems of equations graphically.
Solve systems of equations numerically using tables.
Solve systems of equations algebraically using substitution.
Solve applications using systems of equations.
Summary of mathematical and calculator concepts.
Problems.
8. Radicals and Radical Equations.
Simplify radical expressions.
Add, subtract, multiply, and divide radical expressions.
Connect fractional exponents with radicals.
Solve equations involving radicals graphically, numerically, and algebraically.
Solve applications with radicals.
Summary of mathematical and calculator concepts.
Problems.
Pretest of Prerequisite Skills.
Pretest keyed to review exercises.
Exercises covering the prerequisite Prealgebra skills needed for Elementary Algebra.
Using the TI-83 Graphing Calculator.
Directions for using the TI-83 in Elementary Algebra.
Selected Answers.
