Some definitions |
Top Previous Next |
Acute Angle Acute angle is an angle that has measures less than 90º.
Angle An angle is the figure formed by two lines diverging from a common point.
Arcsin arcsin is the inverse function of the sine function. This means that if x is a value between 0º and 90º, then arcsin(sin x) = x and sin(arcsin x) = x
Arccos arccos is the inverse function of the cosine function. This means that if x is a value between 0º and 90º, then arccos(cos x) = x and cos(arccos x) = x
Arctan arctan is the inverse function of the tangent function. This means that if x is a value between 0º and 90º, then arctan(tan x) = x and tan(arctan x) = x
Base In exponential notation, the base is the factor being multiplied. For example, in , a is the base.
Binomial Binomial is a polynomial consisting of two terms.
Check Solution check is a the process of verifying whether the solutions that were found are valid. It is accomplished by substituting all potential solutions in the original equation and simplifying it. If the result of the simplification yields a true statement (such as 0 = 0), the solution is valid. Otherwise, it is not.
Circle Circle is a curve with the following equation: (x - a)^2 + (y - b)^2 = r^2 where r is the radius of the circle and (a, b) is its center.
Coefficient Coefficient is the numerical factor of a term.
Complex Conjugate The complex conjugate of a complex number is found by changing the sign of its imaginary part.
Complex Fraction Any fraction that contains a fraction in its numerator, or denominator (or both) is called a complex fraction.
Complex Number Any number that can be expressed in the form a + bi, where a and b are real numbers and i is the square root of (-1) is called a complex number.
Coordinate Coordinates are two numbers used to determine the position of a point with respect to a fixed reference called origin.
Degree Degree of a term is the sum of the exponents of all the variables in that term.
Equation Equation is a mathematical sentence containing an equal sign.
Evaluate Evaluating is the process of substituting numbers for variables in an algebraic expression and simplifying the resulting expression.
Expand Expanding is the process of carrying out multiplication or exponentiation.
Exponent Exponent is a number or variable that indicates the number of times the base appears as factor.
Exponential Equation Exponential equation is an equation that contains a solution variable in the exponent.
Expression Expression is a mathematical sentence containing constants, variables and operations.
GCF The greatest common factor (GCF) of a sequence of terms is the largest term that divides each of them exactly.
Standard form in which equations of curves are commonly written
Horizontal Parallel to the x-axis.
Imaginary Unit Imaginary unit i is equal to the square root of (-1).
Inequality Inequality is a mathematical sentence that contains an inequality sign.
Inverse Trigonometric functions Inverse trigonometric functions are the inverse functions of trigonometric functions. For example, arcsin is the inverse function of the sine function, arccos is the inverse function of the cosine function, and arctan is the inverse function of the tangent function.
LCM The least common multiple (LCM) of a sequence of terms is the smallest term that can be divided by each of them exactly.
Linear Linear equation is any equation of the form mx + c = 0, where m and c are real numbers and x is the variable.
Linear Inequality Linear inequality is an inequality where every term has a degree less than or equal to one.
Mixed Number Mixed number is any number consisting of one integer followed by a fraction.
Non Linear Non-linear equation is an equation that has a degree greater than one.
Non Linear Inequality Non-linear inequality is an inequality that has degree greater than one.
Perfect Square Perfect square is a whole number that is the square of an integer or an expression which can be expressed as the square of a binomial
Point Point is an ordered pair of numbers, (x,y). The first number is called x-coordinate and the second one is called the y-coordinate.
Polynomial Polynomial is a sum of terms each of which is either a number or the product of a numerical factor and one or more variable factors raised to whole number powers.
Power Power is a term that can be written in exponential notation.
Prime Prime number is an integer larger than 1 whose only positive divisors are 1 and itself. All of the following are prime numbers: 2, 3, 5, 7, 11, 13
Quadratic Term 'quadratic' refers to a second degree polynomial.
Radical expression is a mathematical expression containing at least one radical sign.
For example, in the expression the radical index is 3
Radical Equation Radical equation is an equation containing one or more radical signs.
The radicand is the expression whose root is being considered in a radical For example, in the expression the radicand is x+2
Rational Rational number is any number that can be written in the form p/q where p and q are integers and q is not equal to zero.
Rationalize Rationalizing the denominator is the process of eliminating radicals from the denominator.
Right Triangle Right triangle is any having one right angle (i.e. one angle that measures 90º).
Root The expression is read nth root of a.
Simplify Simplifying is the process of expressing a mathematical expression in the simplest (and usually shortest) terms. Note that only expressions can be simplified; equations have to be solved.
Slope The rate at which the ordinate of a point on a line on a coordinate plane changes with respect to the change in the abscissa.
Solve Solving is the process of finding the solution set of an equation, inequality or system of equations or inequalities. This process usually involves explicitly expressing the solution value(s), and checking whether the solutions that were found are valid.
Space holder – a space in an algebraic expression that the editor ‘reserves’ for further input, so that the correct algebraic form is preserved. For example, when you enter a /, the editor will display to remind you that denominator has not yet been entered. While you can skip the space holder and continue entering the expression, you will not be able to solve the problem before replacing or deleting the space holder.
Square Square is equivalent to the second power. For example, the expression : could be read "a squared".
Term Term is any expression written as a product or quotient.
Trinomial Trinomial is a polynomial consisting of three terms.
Variable Variable is a character used to represent any number from a specified set of numbers.
Vertical Parallel to the y-axis.
Worksheets vs. workspace "Worksheet" refers to a basic unit of space in the software that is used to store a single problem and possibly its solution. Several worksheets make up a workspace. When you open or save a file, you are opening or saving a workspace rather than individual worksheets. It is of course possible to have only a single worksheet in a workspace, but this is rather inefficient (it creates too many small files). A logical workspace would, for example, be a single homework assignment (containing several problems).
Worksheets can be cleared, renamed and deleted by right-clicking on their respective tabs. Note that workspace files use .alw as the file name extension.
x-intercept x -intercept is the x-coordinate of the point where a line (or some other curve) intersects the x-axis. Note that the y-coordinate at that point is always equal to 0.
y-intercept y-intercept is the y-coordinate of the point where a line (or some other curve) intersects the y-axis. Note that the x-coordinate at that point is always equal to 0. |