Algebra II: Systems of Equations

These flashcards cover key vocabulary related to systems of equations in Algebra II, helping students to remember important terms and their definitions.

System of Equations

Two or more equations used as constraints for a situation involving the same variables.

Opposite Coefficients

Coefficients that are equal in magnitude but opposite in sign, allowing for elimination of a variable when adding equations.

Elimination Method

A method of solving systems of equations by adding or subtracting equations to eliminate a variable.

Substitution Method

A method of solving systems of equations where one variable is solved in terms of the other and then substituted back into one of the equations.

Graphing Method

A method of solving systems of equations by graphing the equations and finding the intersection point.

Unique Solution

One solution to a system of equations where the graphs of the lines intersect at one point.

Infinitely Many Solutions

A situation where both equations graph the same line, resulting in infinite pairs of values for the variables.

No Solution

A situation where the equations represent parallel lines that never intersect, indicating no pairs of values satisfy both equations.

Slope-Intercept Form

A linear equation format expressed as y = mx + b, where m is the slope and b is the y-intercept.

Standard Form

A linear equation format expressed as Ax + By = C, where A, B, and C are constants.