16 terms

Unit 1 Vocab - Math 3

a mathematical phrase that combines numbers and/or variables using mathematical operations.
a mathematical sentence that shows that two expressions are equivalent (=).
Linear equation
an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.
a relation from a set of inputs (x) to a set of possible outputs (y); where each input is related to exactly one output.
Linear function
a function whose graph is a straight line.
a mathematical sentence that shows that two expressions are not equivalent.
System of equations
a collection of two or more equations with the same set of variables.
System of inequalities
a collection of two or more inequalities with the same set of variables.
Solution to systems of equations
the ordered pair that satisfies all equations in the system.
Methods for solving a system of equations
graphing, substitution, and elimination
Parallel lines
lines in the same plane that do not intersect; their slopes are the same, m1 = m2, and their y intercepts are different.
Perpendicular lines
lines that intersect to form right angles; their slopes are opposite reciprocals.
Linear programming
a mathematical procedure to find values of variables that satisfy a set of linear constraints and optimize the value of a linear objective function.
Objective function
an algebraic expression like 7x - 3y whose value is to be optimized within the constraints of the problem.
limitations on values that variables may assume in a problem situation.
Feasible region
the area of the graph in which every point satisfies the constraint inequalities.