An equations-and-inequalities-2/idaho-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation is a mathematical statement that shows the equations-and-inequalities-2/idaho-standards?dictionary=equality&did=457" onclick="getAsistant(this,event,457,'equality');return false;" style="color:#009000;">equality of two equations-and-inequalities-2/idaho-standards?dictionary=expressions&did=132" onclick="getAsistant(this,event,132,'expressions');return false;" style="color:#009000;">expressions. It typically contains an unknown variable that we need to solve for. The goal when working with equations-and-inequalities-2/idaho-standards?dictionary=equations&did=131" onclick="getAsistant(this,event,131,'equations');return false;" style="color:#009000;">equations is to find the value of the variable that makes the equations-and-inequalities-2/idaho-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation true.
A linear equations-and-inequalities-2/idaho-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation is an equations-and-inequalities-2/idaho-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation of the first degree, which equations-and-inequalities-2/idaho-standards?dictionary=means&did=708" onclick="getAsistant(this,event,708,'mean');return false;" style="color:#009000;">means the highest equations-and-inequalities-2/idaho-standards?dictionary=exponent&did=749" onclick="getAsistant(this,event,749,'exponent');return false;" style="color:#009000;">exponent of the variable is 1. The general form of a linear equations-and-inequalities-2/idaho-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation is ax + b = c, where a, b, and c are equations-and-inequalities-2/idaho-standards?dictionary=constants&did=134" onclick="getAsistant(this,event,134,'constants');return false;" style="color:#009000;">constants, and x is the variable we're solving for.
To solve a linear equations-and-inequalities-2/idaho-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation, we use properties of equations-and-inequalities-2/idaho-standards?dictionary=equality&did=457" onclick="getAsistant(this,event,457,'equality');return false;" style="color:#009000;">equality to isolate the variable on one side of the equations-and-inequalities-2/idaho-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation. This typically involves performing the same operation on both equations-and-inequalities-2/idaho-standards?dictionary=sides&did=194" onclick="getAsistant(this,event,194,'sides');return false;" style="color:#009000;">sides of the equations-and-inequalities-2/idaho-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation to maintain equations-and-inequalities-2/idaho-standards?dictionary=equality&did=457" onclick="getAsistant(this,event,457,'equality');return false;" style="color:#009000;">equality.
A quadratic equations-and-inequalities-2/idaho-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation is an equations-and-inequalities-2/idaho-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation of the second degree, which equations-and-inequalities-2/idaho-standards?dictionary=means&did=708" onclick="getAsistant(this,event,708,'mean');return false;" style="color:#009000;">means the highest equations-and-inequalities-2/idaho-standards?dictionary=exponent&did=749" onclick="getAsistant(this,event,749,'exponent');return false;" style="color:#009000;">exponent of the variable is 2. The general form of a quadratic equations-and-inequalities-2/idaho-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation is ax^2 + bx + c = 0, where a, b, and c are equations-and-inequalities-2/idaho-standards?dictionary=constants&did=134" onclick="getAsistant(this,event,134,'constants');return false;" style="color:#009000;">constants, and x is the variable we're solving for.
To solve a quadratic equations-and-inequalities-2/idaho-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation, we can use methods such as equations-and-inequalities-2/idaho-standards?dictionary=factoring&did=280" onclick="getAsistant(this,event,280,'factoring');return false;" style="color:#009000;">factoring, completing the equations-and-inequalities-2/idaho-standards?dictionary=square&did=38" onclick="getAsistant(this,event,38,'square');return false;" style="color:#009000;">square, or using the equations-and-inequalities-2/idaho-standards?dictionary=quadratic+formula&did=346" onclick="getAsistant(this,event,346,'quadratic formula');return false;" style="color:#009000;">quadratic formula.
An equations-and-inequalities-2/idaho-standards?dictionary=inequality&did=573" onclick="getAsistant(this,event,573,'inequality');return false;" style="color:#009000;">inequality is a mathematical statement that shows the relationship between two equations-and-inequalities-2/idaho-standards?dictionary=expressions&did=132" onclick="getAsistant(this,event,132,'expressions');return false;" style="color:#009000;">expressions, typically using symbols such as < (equations-and-inequalities-2/idaho-standards?dictionary=less+than&did=20" onclick="getAsistant(this,event,20,'less than');return false;" style="color:#009000;">less than), > (equations-and-inequalities-2/idaho-standards?dictionary=greater+than&did=18" onclick="getAsistant(this,event,18,'greater than');return false;" style="color:#009000;">greater than), ≤ (equations-and-inequalities-2/idaho-standards?dictionary=less+than&did=20" onclick="getAsistant(this,event,20,'less than');return false;" style="color:#009000;">less than or equations-and-inequalities-2/idaho-standards?dictionary=equal+to&did=108" onclick="getAsistant(this,event,108,'equal to');return false;" style="color:#009000;">equal to), or ≥ (equations-and-inequalities-2/idaho-standards?dictionary=greater+than&did=18" onclick="getAsistant(this,event,18,'greater than');return false;" style="color:#009000;">greater than or equations-and-inequalities-2/idaho-standards?dictionary=equal+to&did=108" onclick="getAsistant(this,event,108,'equal to');return false;" style="color:#009000;">equal to).
A linear equations-and-inequalities-2/idaho-standards?dictionary=inequality&did=573" onclick="getAsistant(this,event,573,'inequality');return false;" style="color:#009000;">inequality is similar to a linear equations-and-inequalities-2/idaho-standards?dictionary=equation&did=431" onclick="getAsistant(this,event,431,'equation');return false;" style="color:#009000;">equation, but instead of an equal sign, it contains an equations-and-inequalities-2/idaho-standards?dictionary=inequality&did=573" onclick="getAsistant(this,event,573,'inequality');return false;" style="color:#009000;">inequality symbol. The general form of a linear equations-and-inequalities-2/idaho-standards?dictionary=inequality&did=573" onclick="getAsistant(this,event,573,'inequality');return false;" style="color:#009000;">inequality is ax + b < c or ax + b > c, where a, b, and c are equations-and-inequalities-2/idaho-standards?dictionary=constants&did=134" onclick="getAsistant(this,event,134,'constants');return false;" style="color:#009000;">constants, and x is the variable.
To solve a linear equations-and-inequalities-2/idaho-standards?dictionary=inequality&did=573" onclick="getAsistant(this,event,573,'inequality');return false;" style="color:#009000;">inequality, we use similar techniques as solving equations-and-inequalities-2/idaho-standards?dictionary=linear+equations&did=278" onclick="getAsistant(this,event,278,'linear equations');return false;" style="color:#009000;">linear equations, but we need to pay attention to the direction of the equations-and-inequalities-2/idaho-standards?dictionary=inequality&did=573" onclick="getAsistant(this,event,573,'inequality');return false;" style="color:#009000;">inequality when performing equations-and-inequalities-2/idaho-standards?dictionary=operations&did=277" onclick="getAsistant(this,event,277,'operations');return false;" style="color:#009000;">operations.
A quadratic equations-and-inequalities-2/idaho-standards?dictionary=inequality&did=573" onclick="getAsistant(this,event,573,'inequality');return false;" style="color:#009000;">inequality is an equations-and-inequalities-2/idaho-standards?dictionary=inequality&did=573" onclick="getAsistant(this,event,573,'inequality');return false;" style="color:#009000;">inequality that contains a quadratic equations-and-inequalities-2/idaho-standards?dictionary=expression&did=552" onclick="getAsistant(this,event,552,'expression');return false;" style="color:#009000;">expression. These can be more complex to solve than linear inequalities and often require equations-and-inequalities-2/idaho-standards?dictionary=graphing&did=572" onclick="getAsistant(this,event,572,'graphing');return false;" style="color:#009000;">graphing techniques or algebraic manipulation to find the equations-and-inequalities-2/idaho-standards?dictionary=solution&did=432" onclick="getAsistant(this,event,432,'solution');return false;" style="color:#009000;">solution set.