OpenStax Elementary Algebra (2nd edition, OpenStax / Rice University). Free open educational resource (OER) Beginning Algebra textbook covering whole numbers / fractions / decimals foundations through quadratic equations. OpenStax 2e places Math Models and Geometry as a dedicated Ch 3 between Solving Equations and Graphs.
Real-number arithmetic foundation: fractions, decimals, percents; the order of operations and exponent behavior on negative numbers; an introduction to variables, algebraic expressions, and equations.
Solving linear equations using the addition and multiplication properties, 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.
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 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.
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.