## MATHEMATICAL TERMS

**Additive Inverse**- for any given number x,

*x + 0 = 0 + x = x*.

1+(-1)=0,

*must e zero as result.*

*this also equals 0 + 1.*

**Algebraic Expression**- a composition of a positive or a negative number and letters. Those letter(s) may have exponent or not. Also,it can be formed by fractional way.

*-2 is the negative number before letter x.*

*3 is the positive number before*.

*this is also an example of an expression.*

*these sets of expressions can also be an expression. As long there is no equal symbol between them it will remain an expressions.*

*this is an example of equation, "not" an expression. See the equal symbol between expressions.*

**Area**- the total measurement of the surface of a polygon.

*Multiply the length and width of a rectangle.*

**Arithmetic Sequence -**the constant pattern that increases or decreases at the same rate or value. It has the same constant difference.

Example:

2,4,6,8,___;

*what is the number in the series? So the answer is 10.*

*-5,-10,-15,___*;

*what is the number in the series? So the answer is -20.*

1. **Average:**
The average (or mean) of a set of numbers is the sum of those numbers divided
by the total number of numbers.

Example: the average of 2, 4, and 6 is (2 +
4 + 6) / 3 = 4.

2. ** ****Arc:**
An arc is a portion of the circumference of a circle, typically measured in
degrees.

Example: a quarter circle has an arc of 90 degrees.

3. ** ****Axis:**
An axis is a reference line used to measure or plot points in a coordinate
system.

Example: the x-axis and y-axis are the two axes used in a Cartesian
coordinate system.

4. **Asymptote:**
An asymptote is a line that a curve approaches but never touches, as the curve
extends infinitely.

Example: the curve y = 1/x has two asymptotes: the
x-axis and the y-axis.

5. **Average
rate of change:** The average rate of change of a function over an interval is
the change in the output of the function divided by the change in the input of
the function, for that interval.

Example: the average rate of change of the function f(x) = x^2 over the interval [1, 3] is (f(3) - f(1)) / (3 - 1) = (9 - 1) / 2 = 4.

1. **Absolute
value:** The absolute value of a number is its distance from zero on the number
line.

Example: the absolute value of -5 is 5, and the absolute value of 3 is 3.

2. ** ****Addition:**
Addition is a basic arithmetic operation that involves combining two or more
numbers to get a total or sum. For example, 2 + 3 = 5 and 10 + 5 + 8 = 23.

3. **Area:**
The area of a shape is the amount of space it occupies in two-dimensional
space.

Example: the area of a square with a side length of 4 units is 16 square
units (4 x 4).

4. ** ****Algebra:
**Algebra is a branch of mathematics that involves using symbols and letters to
represent variables and unknown quantities, and manipulating them to solve
equations.

Example: solving the equation x + 3 = 7 involves using algebra
to find that x = 4.

5.** Angle:**
An angle is the measure of the space between two intersecting lines, usually
measured in degrees.

Example: a right angle is 90 degrees, while a straight angle is 180 degrees.