ARITHMETIC SEQUENCE:
A list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
CONSTANT RATE OF CHANGE:
When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.
COORDINATE PLANE:
A coordinate plane is a two-dimensional plane formed by the intersection of a vertical line called y-axis and a horizontal line called x-axis. These are perpendicular lines that intersect each other at zero, and this point is called the origin.
DIRECT VARIATION
Direct variation describes a simple relationship between two variables . We say y varies directly with x (or as x , in some textbooks) if: y=kx. for some constant k , called the constant of variation or constant of proportionality .
DISTRIBUTIVE PROPERTY
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
FUNCTION
a function relates inputs to outputs. a function takes elements from a set (the domain) and relates them to elements in a set (the codomain). all the outputs (the actual values related to) are together called the range. a function is a special type of relation where: every element in the domain is included, and.
INEQUALITIES
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b. (those two are known as strict inequality)
LINE OF BEST FIT
Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. Statisticians typically use the least squares method to arrive at the geometric equation for the line, either though manual calculations or regression analysis software.
OPPOSITE RECIPROCAL
An opposite reciprocal is the fraction form of a number flipped upside down (that's the reciprocal part), and with its sign changed (that's the opposite part). ... This is the defining feature of the equations of perpendicular lines—the slopes of perpendicular lines are opposite reciprocals.
ORIGIN
a fixed point from which coordinates are measured, as where axes intersect.
PARALLEL LINES
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
SLOPE
The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.
SOLUTION
a means of solving a problem or dealing with a difficult situation.
SQUARE ROOT
In mathematics, a square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 42 = (−4)2 = 16.
SYSTEM OF EQUATIONS
Solving Systems by Addition. A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
VARIABLE
not consistent or having a fixed pattern; liable to change.
XAXIS
the principal or horizontal axis of a system of coordinates, points along which have a value of zero for all other coordinates.
XINTERCEPT
The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x.
YAXIS
A y-axis is the vertical axis on the Cartesian coordinate plane. The y-axis starts at negative infinity and increases to positive infinity. The y-axis is also the starting, or 0 point, for measuring how far a point extends horizontally on a graph.
YINTERCEPT
The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . ) The y -intercept is often referred to with just the y -value.
