Algebra II Prerequisite Skills Mr Rosilez Solving Equations

Algebra II – Pre-requisite Skills Mr. Rosilez

Solving Equations – Key Concepts

Solving Equations - Examples � �

Variables and Exponents � �

Examples – Solving Variables & Exponents � �

Working with Square Roots � �

Linear Equations � �

Examples for Slope & Linear Equations �

Examples for Slope & Linear Equations (Continued) � �

Graphing Linear Equations � Other hints on graphing lines: � If written in slope –intercept form, graph by using the yint. and using the slope from this point. � If written in standard form, graph by finding the x and y intercepts. � If no intercept is given (y=3 x), then the intercept is zero. � If the equation is x = _# , it is a vertical line through the given number. � If the equation is y = _#_, it is a horizontal line through the given number.

Graphing Linear Equations �

Systems of Equations � �

Systems of Equations - Continued � Elimination – When neither of the equations has a variable that is already “solved” for a variable, then elimination is the preferred method of solving systems. The goal of elimination is two get rid of one of the variables in the two equations by multiplying one or both equations. Then, you either add or subtract the equations to eliminate a variable in order to solve for the other. You then substitute this value into one of the original equations to solve for the eliminated variable. �

Factoring and Solving Equations � �

Factoring and Solving Quadratic Equations � �

Transformations � A transformation is a function that moves or changes a figure in some manner to produce a new figure. The four major transformations are a translation (movement left to right and or up and down), a reflection (a flip over a specific line of reflection), a rotation (usually counterclockwise around a point such as the origin) and a dilation (reduction or an enlargement of a figure from a specified point). �

Transformations - Continued �