![]() Module 13: Exponential, and Logarithmic Functions Classify solutions to quadratic equations using the discriminant.Perform algebraic operations on complex numbers. ![]() Solve quadratic equations using factoring, completing the square and the quadratic formula.Module 12: Quadratic Equations and Complex Numbers Solve radical equations and applications including kinetic energy, and volume.Perform algebraic operations on radical expressions.Define and evaluate roots, rewrite roots as rational exponents.Define and use proportions to solve problems.Solve rational equations including variation.Perform algebraic operations on rational expressions.Define and simplify rational expressions.Module 10: Rational Expressions and Equations Methods for solving polynomial equations including factoring and the zero product principle.Factor special cases of polynomials including those with squares, cubes, and fractional exponents.Factor trinomials using a variety of methods including greatest common factor, and grouping.Recognize characteristics of polynomial functions and their graphs.Learn methods for multiplying and dividing polynomials.Identify polynomials, and perform algebraic operations on polynomials.Module 8: Polynomials and Polynomial Functions Write numbers using scientific notation, solve applications expressed with scientific notation.Use exponent rules to simplify expressions.Solve and graph systems of two inequalities, solve applications with two inequalities.Solve systems of three equations using substitution.Write and solve a system of two or three equations given a scenario.Use elimination and substitution to solve linear systems of two equations.Define and classify solutions to linear systems of two and three equations.Define and graph piecewise linear functions.Model applications with linear functions.Transform linear functions using compressions, reflections, and stretches.Define and calculate slope, write the equation of a linear function given slope, or two points, or a scenario.Define the domain and range of linear, quadratic, and square root functions.Graph linear, quadratic and radical functions.Identify a function given a graph, identify whether a function is one-to-one from it’s graph.Define a function using a table, words, and an algebraic expression.Module 4: Functions and Function Notation Graph linear equations and inequalities using tables, intercepts, and slope/ intercept formats.Writing equations of lines given points, words, and graphs.Module 3: Graph Linear Equations and Inequalities Solve linear inequalities including compound inequalities, and absolute value inequalities.Represent inequalities with intervals, and on a number line.Solve applications of linear equations including distance, rate, and time, area, volume, and perimeter, and temperature conversion. ![]()
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