Ron Larson's college algebra book — Larson Precalculus without the trigonometry chapters, plus an equations and inequalities chapter up front.
Foundational algebra review: real numbers, exponents, radicals, polynomials, factoring, and rational expressions, refreshing the prerequisite skills students need before college-algebra topics begin.
Solving linear, rational, quadratic, polynomial, and absolute-value equations and inequalities; complex numbers; mathematical modeling with linear and quadratic functions. This chapter is present in the College Algebra binding but absent from Larson Precalculus 11e (Pre_05); its content is synthesized following the Alg_03 Blitzer CollAlg 8e Ch 1 precedent (C14).
Rectangular coordinates, graphs of equations, linear equations in two variables, functions, analyzing graphs, parent functions, transformations, combinations and composite functions, inverse functions, and mathematical modeling with variation.
Quadratic functions, polynomial functions of higher degree, polynomial and synthetic division, complex numbers as roots, zeros of polynomial functions, rational functions, and nonlinear inequalities.
Exponential functions and graphs, logarithmic functions and graphs, properties of logarithms, exponential and logarithmic equations, and exponential/logarithmic models.
Linear and nonlinear systems of equations in two variables, two-variable linear systems (substitution and elimination), and multivariable linear systems (3 variables, Gaussian elimination).
Matrices and systems of equations (Gauss-Jordan elimination), operations with matrices, the inverse of a square matrix, and the determinant of a square matrix.
Sequences and series, arithmetic sequences and partial sums, geometric sequences and series, and the binomial theorem.
Lines, parabolas, ellipses, hyperbolas, polar coordinates, and graphs of polar equations.