These are the HTML files created by faculty at Chemeketa Community College for the text of the new MTH091 Algebraic Literacy course.

This is the basic Table of Contents

Chapter 1 - Real Numbers 1.1 Subsets of Real Numbers 1.2 Working with Integers 1.3 Working with Fractions

Chapter 2 - Algebraic Expressions 2.1 Algebra Terminology 2.2 The Distributive Property 2.3 Factoring 2.4 Exponents 2.5 Negative Exponents 2.6 Creating and Using Algebraic Expressions

Chapter 3 - Elementary Equations 3.1 One-Step Equations 3.2 Solving Multi-Step Equations by Inverse Operations 3.3 Solving Literal Equations and Formulas

Chapter 4 - Intermediate Equations 4.1 Solving through Simplification 4.2 Solving by Factoring 4.3 The Quadratic Formula 4.4 Beyond the Basics

Chapter 5 - Graphing 5.1 The Cartesian Coordinate System 5.2 Understanding Slope 5.3 Graphing Linear Equations 5.4 Graphing Quadratic Equations 5.5 Graphing Equations with Technology

and a more detailed TOC with learning objectives.

Objectives:

• Identify subsets of the real numbers and the operations that make them necessary.
• Use division to classify whole numbers as either prime or composite.
• Use a number line to compare numbers and use inequalities to represent that relationship.
• Use a number line to find the absolute value of a number.

Objectives:

• Add, subtract, multiply, and divide integers.
• Evaluate powers and simple roots without a calculator.

Objectives:

• Multiplying Fractions
• Dividing Fractions
• Adding & Subtracting Fractions
• Powers & Roots of Fractions (only roots of perfect square fractions)

Objectives:

• Distinguish between constants and variables.
• Distinguish between expressions and equations.
• Evaluate simple expressions.
• Write equivalent expressions using the commutative properties.
• Identify and combine like terms.

Objectives:

• Write equivalent expressions by distributing positive and negative numbers.
• Write equivalent expressions by distributing monomials.
• Write equivalent expressions by distributing binomials.

Objectives:

• Recognize factoring as the reverse of distribution.
• Identify the greatest common factor (GCF) of an expression.
• Factor the GCF out of an expression.
• Factor trinomial expressions of the form.

Objectives:

• Understand the concept of a positive exponent.
• Apply the rules of exponents to positive powers.

Objectives:

• Understand the concept of a negative exponent.
• Apply the rules of exponents to negative powers.
• Use exponents to write numbers in scientific notation.

Objectives:

• Substitute numbers for variables in expressions.
• Simplify expressions using the order of operations.
• Write expressions to match given scenarios.

Objectives:

• Understand the concept of a solution to an equation.
• Understand the concept of balancing an equation by performing the same operation on each side.
• Identify operations and their inverses.
• Understand the concept of using inverse operations to solve one-step equations.
  • Use the addition principle
  • Use the multiplication principle
  • Use the definition of square roots

Objectives:

• Use inverse operations to solve multi-step equations where the variable can be isolated, including
  • Solving through Simplification
  • multi-step equations with one radical
  • and multi-step equations with one power
• Check solutions for validity.

Objectives:

• Evaluate formulas.
• Solve formulas for a specified variable.

Objectives:

• Solve linear equations with the variable on both sides.
• Solve linear equations by combining like terms.
• Solve linear equations using distribution.

Objectives:

• Solve equations using the zero factor principle.
• Solve quadratic equations by factoring.

Objectives:

• Use the quadratic formula to solve quadratic equations.

Objectives:

• Solve equations with a variable in the Subtrahend.
• Solve equations with a variable in the Denominator.
• Solve equations with a variable in the Exponent.
• Solve equations with a variable in a Logarithm.

Objectives:

• Plot ordered pairs on the coordinate plane.
• Plot tabular data on a coordinate plane.
• Graph linear and quadratic equations by creating tables of values and plotting points.
• Identify the coordinates of x-intercepts and y-intercepts.

Objectives:

• Find the slope given a graph.
• Find the slope given two points.
• Find the slope given a linear equation.
• Interpret the slope and y-intercept of a line in context.

Objectives:

• Graph linear equations in the slope-intercept form.
• Write the slope-intercept form of a line given its graph.
• Find the slope-intercept form of a line given two points.
• Interpret the slope and y-intercept of a line in context.
• Write linear equations to model scenarios.

Objectives:

• Graph quadratic equations from a table of values
• Understand the parts of a parabola
• Locate the coordinates of the intercepts and vertex of a parabola from a graph.
• Find the coordinates of the intercepts and vertex of a standard quadratic equation.

Objectives:

• Use technology to graph equations.
• Use technology to identify key features like intercepts and vertices.
• Use technology to solve equations graphically.