Lial / Hornsby / McGinnis Beginning and Intermediate Algebra Combined, 7th edition (Pearson). Single-volume developmental sequence merging the content of Lial Beginning Algebra and Lial Intermediate Algebra.
A brief review for students entering the combined Beginning and Intermediate Algebra course: variables and algebraic expressions, operations on real numbers, and exponents and order of operations.
Foundational arithmetic and algebra at the developmental tier: fractions, decimals and percents; the order of operations and exponents (with attention to negative numbers); variables, expressions, and equations.
Solving linear equations and inequalities including word problems, percent applications, formulas, ratio and proportion, compound inequalities, and absolute value equations and inequalities.
The rectangular coordinate system, graphing linear equations, slope and equations of lines, linear inequalities in two variables, an introduction to functions, and basic graphs and transformations.
Solving systems of linear equations by graphing, substitution, and elimination; applications of systems; and systems of three linear equations.
Exponent rules including negative exponents, scientific notation, polynomial structure and operations, multiplying polynomials, and dividing polynomials.
Factoring polynomials using greatest common factor, grouping, trinomial techniques, and special forms; using factoring to solve quadratic equations.
Simplifying rational expressions, multiplying and dividing rational expressions, finding the least common denominator, adding and subtracting rational expressions, simplifying complex fractions, solving rational equations, applications, and variation.
Square roots and higher roots, rational exponents, simplifying radicals, operations on radicals, rationalizing denominators, equations involving radicals, and complex numbers.
Solving quadratic equations by factoring, the square root property, completing the square, and the quadratic formula; equations in quadratic form; quadratic functions and their graphs; applications.
One-to-one functions and inverse functions; exponential functions and their graphs; logarithmic functions and their graphs; properties of logarithms; exponential and logarithmic equations; applications.
The conic sections — parabolas, circles, ellipses, hyperbolas — in standard form.
Sequences and series notation, arithmetic sequences and series, geometric sequences and series, and the binomial theorem.