Algebra Part 2 (Speedy Study Guides). Speedy Publishing

      

      Algebra 2 builds upon previous algebraic concepts such as Powers, Roots, and Radicals and expands to more advanced levels such as Polynomials and Factoring and Conic Sections – Hyperbolas. Sophisticated applications are found in Exponents and Logs where you will develop special scales for measurement, used for the Richter scale for earthquake magnitude, and the pH scale for acidity.

      Methods for solving Systems of Linear Equations and Inequalities and Rational Functions are covered in our more basic topics which provide strong proficiency to master Matrices and Determinants. Algebra 2 is a highly integrated subject that establishes strong foundational skills and supports mastery at more advanced levels that are sure to challenge you.

      LINEAR EQUATIONS AND FUNCTIONS

      In Linear Equations and Functions we begin with Functions vs. Relations to define what a function is and how it is used to establish a mathematical relationship between two variables. Intensify your previous knowledge of Linear Equations and explore how linear relationships can also be functions.

      With a review of Linear Equations and Functions, challenge yourself with Direct Variation Equations to gain a better understanding of slope, which is an important concept in more advanced math topics, such as Calculus.

      The following graphs show linear functions.

      Positive slope.

      Negative slope.

      Horizontal slope.

      Meanwhile, the following graphs do not show linear functions.

      This graph shows a vertical line, which is not a function.

      The following are linear equations:

      •x = -2

      •x + 3y = 7

      •2x – 5y + 8 = 0

      Meanwhile, the following are not linear equations:

      •xy + 7 = x + y is not a linear equation because the term xy has degree 2.

      •x + 3y2 = 6 is not a linear equation because the term 3y2 has degree 2.