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# Algebra 1 Vocabulary

TermDefinition
Average Rate of Change The change in the value of a quantity divided by the elapsed time. For a function, this is the change in the y-value divided by the change in the x-value for two distinct points on the graph. ______ is the same as the slope.
Dependent Variable A variable whose value is determined by a second variable.
Graph of an Equation in Two Variables A graph of an equation involving two variables. The set of all points in the coordinate plane that are solutions to an equation in two variables is called the graph of the equation.
Independent Variable An element in the domain of a function; the input value of a function.
Inequality A mathematical statement containing one of the symbols <, >, to indicate the relationship between two quantities.
Infinite Solutions If the variables disappear, and you get a statement that is always true, such as 0 = 0 or 3 = 3, then there are "infinite solutions", meaning, when graphed, the two equations would form the same line.
Linear Equation A first degree equation.
Literal Equation An equation that contains more than one variable.
Null Set/Empty Set The set with no elements. The empty set can be written o/ or { }.
Origin The intersection of the x- and y-axis in a coordinate plane. The coordinates of the origin is (0, 0).
Parallel Lines Two or more coplanar lines that do not intersect. Parallel line segments or rays are line segments or rays that are subsets of parallel lines.
Perpendicular Intersecting to form 90o angles.
Point-Slope Form The point-slope form of a linear equation y – y1 = m(x – x1), where m is the slope and (x1, y1) is a point on the line.
Properties of Equality For real numbers, when you perform the same operation using the same value onto both sides of an equation, the sides remain equivalent.
Proportional Two variables are proportional if they maintain a constant ratio. (Direct variation.)
Rate of Change The change in the value of a quantity divided by the elapsed time. For a , this is the change in the y-value divided by the change in the x-value for two on the . This is the same thing as the of the line that passes through the two points. Similar t
Slope The measure of the steepness of a line; the ratio of vertical change to horizontal change.
Slope-Intercept Form An equation of the form y = mx + b, where m is the slope and b is the y intercept . __________is the form used most often as the simplified equation of a line.
Solution A value, or values that make the equation or inequality true.
Solution Set Any and all value(s) of the variable(s) that satisfy an equation, inequality, system of equations, or system of inequalities. Denoted { }.
Standard Form of a Linear Equation An equation of the form Ax + By = C.
X-axis The horizontal axis in a coordinate plane.
X-intercept The point at which the graph of a relation intercepts the x-axis. The ordered pair for this point has a value of y = 0.
Y-axis The vertical axis in a coordinate plane.
Y-intercept The point at which a graph of a relation intercepts the y-axis. The ordered pair for this point has a value of x = 0.
Zero Solutions When two or more equations have zero solutions in common.
Created by: Lana Smith