Tom Carson / Bill E. Jordan Elementary and Intermediate Algebra, 4th edition (Pearson). Mapped to DCM's M0481 + M0482 source classes with M1431 cross-listing for the College-Algebra-tier chapters (Exp/Log, Conics, Sequences).
A foundational chapter for the developmental sequence: number sense, sets of real numbers and their properties, exponents and order of operations, variables and algebraic expressions.
Solving linear equations and inequalities in one variable; problem-solving frameworks; literal equations and formulas; compound and absolute-value inequalities.
The rectangular coordinate system; graphing lines; slope and rates of change; equations of lines; an introduction to functions, function notation, basic graphs, and transformations.
Two-variable and three-variable linear systems; substitution and elimination; systems of linear inequalities; applications.
Exponent rules including negative integer exponents; scientific notation; polynomials and polynomial functions; multiplication of polynomials.
Greatest common factor and factoring by grouping; factoring trinomials; special-form factoring; using factoring to solve quadratic equations.
Simplifying, multiplying, dividing, adding, and subtracting rational expressions; complex fractions; polynomial division (long and synthetic); rational equations; proportion- and variation-style applications.
Radicals and radical functions; rational exponents; simplifying radical expressions; rationalizing denominators; radical equations; complex numbers.
Solving quadratic equations by completing the square, the quadratic formula, and quadratic methods; nonlinear inequalities; quadratic functions and their graphs.
Algebra of functions and inverse functions; exponential and logarithmic functions; properties of logarithms; common and natural logarithms and change of base; exponential and logarithmic equations and applications.
Standard forms and graphs of parabolas, circles, ellipses, and hyperbolas; recognizing conics from general second-degree equations.
Sequences (general, arithmetic, and geometric); series and summation notation; the binomial theorem.