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Index
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 Linear equations
Addition and subtraction equations
Multiplication and division equations
Two-step equations
Variables on both sides
Simplifying before solving
Absolute value equations
Mixture problems: coffee, coins, and cars
Calculator notes #2
3 Linear inequalities
Simple inequalities
Compound inequalities
Absolute value inequalities
4 Coordinate graphing
The coordinate plane
Distance
Midpoints
Slope and rate of change
Graphing linear equations
Vertical and horizontal lines
Graphing linear inequalities
Graphing absolute value equations
Writing linear equations
Parallel and perpendicular lines
Calculator notes #3
5 Systems of linear equations and inequalities
Graphing systems of equations
Graphing systems of inequalities
Solving systems of equations by substitution
Solving systems of equations by combination
Combinations with multiplication
Dependent and inconsistent systems
Calculator notes #4
6 Powers and polynomials
Rules for exponents
More rules
Monomials and polynomials
Adding and subtracting polynomials
Multiplying polynomials
Dividing polynomials
Calculator notes #5
7 Factoring
Greatest common monomial factor
Factoring x2 + bx + c
Factoring ax2 + bx + c
Special factoring patterns
Factoring by grouping
Calculator notes #6
8 Radicals
Powers and roots
Estimating roots
Simplifying radical expressions
Adding and subtracting radicals
Solving radical equations
Graphing square root equations
9 Quadratic equations and their graphs
Solving by square roots
Completing the square
The quadratic formula
Solving by factoring
Graphing quadratic functions
Calculator notes #7
10 Proportion and variation
Using ratios and extended ratios
Solving proportions
Variation
Joint and combined variation
11 Rational equations and their graphs
Simplifying rational expressions
Multiplying rational expressions
Dividing rational expressions
Adding and subtracting rational expressions
Complex fractions
Solving rational equations
Graphing rational functions
Calculator notes #8
12 Exponential growth and decay
Evaluating exponential functions 107
Compound interest
Exponential growth and decay
Graphing the exponential functions
Calculator notes #9
13 Matrix algebra
Rows and columns
Addition and subtraction
Scalar multiplication
Matrix multiplication
Determinants
Inverses
Solving systems with matrices
Calculator notes #10
14 Problem solving
General strategies
Problems solved with linear equations
Problems solved with quadratic equations
Problems solved with rational equations
Problems solved with systems
Answers
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