Bittinger's introductory algebra book. Real numbers through linear equations, polynomials, factoring, rational expressions, radicals, and quadratics.
Foundational arithmetic and algebra: fractions, decimals, and percents; the order of operations and exponent behavior on real numbers; an introduction to variables, algebraic expressions, and equations.
Solving linear equations using the addition and multiplication principles, applications and word problems, formulas, percent applications, ratio and proportion, and linear inequalities including compound inequalities.
The rectangular coordinate system, graphing linear equations, slope, equations of lines, linear inequalities in two variables, and an introduction to functions.
Exponent rules including negative exponents, scientific notation, polynomial vocabulary, addition and subtraction of polynomials, multiplication of polynomials, and polynomial division.
Factoring polynomials using greatest common factor and grouping; factoring trinomials; factoring special forms; solving factorable 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, and applications.
Solving systems of linear equations by graphing, substitution, and elimination; applications of systems; and systems of three linear equations.
Square roots and higher roots, simplifying radicals, adding/subtracting/multiplying radicals, rationalizing denominators, and solving equations involving radicals.
Solving quadratic equations by factoring, the square root property, completing the square, and the quadratic formula; basic graphs of quadratic functions; applications.