Enhance Your Learning with Linear Equations Flash Cards for quick learning
An equation between two variables that creates a straight line when graphed.
The equation of a line in the form y = mx + b, where m represents the slope and b represents the y-intercept.
The equation of a line in the form y - y1 = m(x - x1), where (x1, y1) represents a point on the line and m represents the slope.
The equation of a line in the form Ax + By = C, where A, B, and C are constants and A and B are not both zero.
Lines in the same plane that never intersect and have the same slope.
Lines in the same plane that intersect at a right angle and have slopes that are negative reciprocals of each other.
The x-coordinate of the point where a line intersects the x-axis.
The y-coordinate of the point where a line intersects the y-axis.
A value or set of values that make an equation true when substituted into the equation.
A set of two or more linear equations with the same variables.
A system of linear equations that has at least one solution.
A system of linear equations that has no solution.
A system of linear equations that has infinitely many solutions.
A system of linear equations that has exactly one solution.
A method of solving a system of linear equations by solving one equation for one variable and substituting the result into the other equation.
A method of solving a system of linear equations by adding or subtracting the equations to eliminate one variable.
A method of solving a system of linear equations by graphing the equations and finding the point of intersection.
A problem that can be represented and solved using linear equations.
An inequality that can be represented by a linear equation.
A value or set of values that make an inequality true when substituted into the inequality.
The region of the coordinate plane that satisfies a linear inequality.
The region of the coordinate plane that satisfies a system of linear inequalities.
The process of finding the maximum or minimum value of a quantity subject to certain constraints.
A method of optimization that involves maximizing or minimizing a linear objective function subject to linear constraints.
A relationship between two variables in which one variable is a constant multiple of the other.
A relationship between two variables in which the product of the variables is a constant.
A relationship between three or more variables in which the product of the variables is a constant.
A sequence in which the difference between consecutive terms is constant.
A sequence in which the ratio of consecutive terms is constant.
The sum of the terms in an arithmetic sequence.
The sum of the terms in a geometric sequence.
A formula that defines each term in a sequence in terms of previous terms.
A formula that defines each term in a sequence directly, without reference to previous terms.
A solution of an equation that does not satisfy the original equation.
The set of all possible input values of a function.
The set of all possible output values of a function.
A way to represent a function using symbols and equations.
A function that can be represented by a linear equation.
A function that cannot be represented by a linear equation.
A function that is defined by different equations for different intervals of the domain.
A function of the form f(x) = |x|, where |x| represents the distance between x and 0 on the number line.
A function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0.
A function of the form f(x) = a^x, where a is a constant and x is the exponent.
A function of the form f(x) = log_a(x), where a is a constant and x is the argument.
A function of the form f(x) = p(x)/q(x), where p(x) and q(x) are polynomials and q(x) is not equal to 0.
A function that undoes the effect of another function.
A function that is formed by applying one function to the output of another function.
The process of combining two functions to form a composite function.
The process of limiting the domain of a function to exclude certain values.
A test used to determine if a graph represents a function.
A test used to determine if a function is one-to-one.
A function in which each element of the range is paired with exactly one element of the domain.
A function in which each element of the range is paired with at least one element of the domain.
A function that is symmetric with respect to the y-axis.
A function that is symmetric with respect to the origin.
The simplest form of a function in a family of functions.
A change in the position, size, or shape of a graph.
A transformation that shifts a graph horizontally or vertically.
A transformation that flips a graph across a line.
A transformation that stretches or compresses a graph.
A dilation that stretches a graph vertically.
A dilation that compresses a graph vertically.
A dilation that stretches a graph horizontally.
A dilation that compresses a graph horizontally.
A transformation that turns a graph around a fixed point.
A line that a graph approaches but never crosses.
A vertical line that a graph approaches as the input values increase or decrease without bound.
A horizontal line that a graph approaches as the input values increase or decrease without bound.
A slanted line that a graph approaches as the input values increase or decrease without bound.