Cover
Title Page
Copyright Page
Contents
Introduction
1 Arithmetic to algebra
The real numbers
Properties of real numbers
Integers
Order of operations
Using variables
Evaluating expressions
Calculator notes #1
2 Equations with one variable
Addition and subtraction equations
Multiplication and division equations
Two-step equations
Variables on both sides
Simplifying before solving
Putting equations to work
Calculator notes #2
3 Problems solved with equations
Mixture problems
Percentage problems
Perimeter problems
Consecutive integer problems
4 Functions
Domain and range
Another way to represent relations and functions
Vertical line test
Function notation
Evaluating functions
Working backwards
Restricting domains
5 Coordinate graphing
The coordinate plane
Distance
Midpoints
Graphing equations
Slope and rate of change
Vertical and horizontal lines
Writing linear equations
Parallel and perpendicular lines
Calculator notes #3
6 Absolute value
Absolute value equations
Absolute value functions
Graphing absolute value functions
7 Inequalities
Simple inequalities
Compound inequalities
Absolute value inequalities
Graphing inequalities in two variables
8 Systems of linear equationsΒ and inequalities
Solving systems of equations by graphing
Graphing systems of inequalities
Solving systems of equations by substitution
Solving systems of equations by elimination
Elimination with multiplication
Dependent and inconsistent systems
Problems solved with systems
Calculator notes #4
9 Powers and polynomials
Rules for exponents
More rules
Monomials and polynomials
Adding and subtracting polynomials
Multiplying polynomials
Dividing polynomials
Calculator notes #5
10 Factoring
Greatest common monomial factor
Factoring x2 + bx + c
Factoring ax2 + bx + c
Special factoring patterns
Factoring by grouping
Calculator notes #6
11 Radicals
Powers and roots
Estimating roots
Simplifying radical expressions
Adding and subtracting radicals
Solving radical equations
Graphing square root equations
12 Quadratic equations andΒ their graphs
Solving by square roots
Completing the square
The quadratic formula
Solving by factoring
Graphing quadratic functions
Problems solved with quadratic equations
Calculator notes #7
13 Proportion and variation
Using ratios and extended ratios
Solving proportions
Variation
Joint and combined variation
14 Rational equations andΒ their graphs
Simplifying rational expressions
Multiplying rational expressions
Dividing rational expressions
Adding and subtracting rational expressions
Complex fractions
Solving rational equations
Graphing rational functions
Problems solved with rational equations
Calculator notes #8
15 Exponential growth andΒ decay
Evaluating exponential functions
Compound interest
Exponential growth and decay
Graphing exponential functions
Calculator notes #9
16 Matrix algebra
Rows and columns
Addition and subtraction
Scalar multiplication
Matrix multiplication
Determinants
Inverses
Solving systems with matrices
Calculator notes #10
Answers