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High School Mathematics for College Algebra

Suggested Prerequisites

Algebra 1, Algebra 2

Description

In this course, you will develop the skills necessary for college-level mathematics by integrating critical thinking, problem-solving, and mathematical skills. You will explore expressions, equations, and functions while interpreting real-world problem solutions at an algebra level suitable for college entry. The course emphasizes five key areas: fluency with the Laws of Exponents, extending arithmetic operations to rational and polynomial expressions, solving various equations, modeling with multiple types of functions, and understanding inverse and composite functions. This comprehensive approach ensures you are well-prepared for higher-level math courses.

Module One: Algebra Basics

-Evaluate expressions

-Create and apply linear equations

-Solve for a variable using dimensional analysis

-Solve absolute value inequalities


Module Two: Equations and Functions

-Graph lines

-Find and calculate slope

-Apply linear equations with two variables

-Apply and solve linear systems

-Understand functions

-Graph functions

-Transform functions


Module Three: Polynomials

-Apply laws of exponents

-Add, subtract, multiply and divide polynomials

-Transform and solve problems involving quadratic functions

Module Four: Rationals

-Multiply, divide, add, and subtract rational expressions

-Solve problems involving complex fractions

-Solve and apply rational equations

-Solve problems involving rational exponents

-Transform rational expressions


Module Five: Radicals

-Solve problems involving radical functions

-Solve and apply radical equations

-Solve problems using inverse functions

-Calculate roots of perfect powers


Module Six: Exponentials and Logarithms

-Solve, write, and interpret exponential and logarithmic expressions

-Solve and graph mathematical and real-world problems