Lial / Hornsby / McGinnis Beginning Algebra, 13th edition (Pearson, 2020). Single-volume developmental algebra covering the real number system, linear equations and inequalities in one and two variables, an introduction to functions, systems of linear equations and inequalities, exponents and polynomials, factoring, rational expressions, radicals, and quadratic equations. Mapped directly to DCM’s M0481 (Beginning Algebra) source class with bridging from M0482 for the rational, radical, and quadratic chapters.
Foundational arithmetic and algebra: fractions, decimals and percents; the order of operations and exponents (with attention to negative numbers); variables, expressions, and equations.
Solving linear equations using the addition and multiplication properties of equality, applications and word problems, formulas, ratio and proportion, and linear inequalities including compound inequalities.
The rectangular coordinate system, graphing linear equations, slope and 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, the structure and operations of polynomials, multiplying polynomials, and division.
Factoring polynomials using greatest common factor, grouping, and trinomial techniques; factoring 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, 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.