Algebra 1 Topic 4 Vocabulary

intersection

a point where lines intersect

solution of a system of linear equations

any ordered pair in a system that makes all the equations of that system true

system of linear equations

two or more related linear equations for which you seek a common solution

substitution

the act of putting one thing or person in the place of another

substitution method

replacing one variable with an equivalent expression containing the other variable

coefficient

number in front of a variable

elimination

the act of removing or getting rid of something

linear inequality in two variables

a line in which the equal sign is replaced with an inequality symbol

solution of an inequality in two variables

all ordered pairs (x,y) that make the inequality true

half-plane

in a coordinate plane, the region on either side of a boundary line

solution of a system of linear inequalities

any ordered pair that makes all of the inequalities in the system true

system of linear inequalities

two or more linear inequalities using the same variables