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Linear Algebra Ch. 3

Graphs and Equations

QuestionAnswer
combining like terms Simplifies an expression by summing constants and summing those variable terms in which the same variables are raised to the same power.
continuous graph For this course, when the points on a graph are connected and it makes sense to connect them, then the graph is continuous. Such a graph will have no holes or breaks in it.
dependent variable When one quantity depends for its value on one or more others.
discrete graph A graph that consists entirely of separated points.
Distributive Property For any a, b, and c, a(b + c) = ab + ac. For example, 10(7 + 2) = 10 ⋅ 7 + 10 ⋅ 2.
evaluate To find the numerical value of. Substitute the value(s) given for the variable(s) and perform the operations according to the order of operations.
independent variable When one quantity changes in a way that does not depend on the value of another quantity.
Order of Operations The specific order in which certain operations are to be carried out to evaluate or simplify expressions: parentheses/grouping symbols), exponents (powers or roots), multiplication/division (from left to right), addition/subtraction (from left to right)
parabola A particular kind of mathematical curve. In this course,it is always the graph of a quadratic function.
solution The number or numbers that when substituted into an equation or inequality make the equation or inequality true.
term A single number, variable, or the product of numbers and variables. In an expression, terms are separated by addition or subtraction signs.
vertex For a two-dimensional geometric shape, a vertex is a point where two or more line segments or rays meet to form a "corner". For a three-dimensional polyhedron, a vertex is a point where the edges of the solid meet.
x-intercept The point(s) where a graph intersects the x-axis. A graph may have several, none, or just one.
y-intercept The point(s) where a graph intersects the y-axis. A function has at most one ; a relation may have several. This intercept of a graph is important because it often represents the starting value of a quantity in a real-world situation.
variable A symbol used to represent one or more numbers.
Created by: EMarshall8