A number’s street from zero. For any kind of x, is identified as follows: |x| = −x, if x

Acute Angle: An edge whose measure up is higher than 0 and also less 보다 90 degrees.

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Example of one acute angle

Acute Triangle: A triangle in which all three angles are acute angles.

Algebraic Expression: one expression that consists of one or much more variables and also may likewise include signs indicating an operation or a relationship.

Area Model: A mathematics model based on the area that a rectangle, provided to stand for multiplication or to represent fractional parts of a whole.

Axis of Symmetry: The vertical heat x = − b/(2a) for the parabola given by f(x) = ax² + bx + c or the vertical line x = h when written f(x) = a(x − h)² + k.

Example the axis that symmetry because that a parabola


For any type of number x elevated to the nth power, composed as x^n, x is referred to as the base of the expression. In geometry any side of a triangle might be referred to as the base.

Cartesian Plane: See: name: coordinates Plane

Coefficient: In the product the a continuous and a change the consistent is the number coefficient that the variable and is generally referred to simply as the coefficient.

Common Factor: A element that shows up in 2 or much more terms.

Compound Interest: interest paid on previous interest which was included to the principal.

Consistent system: See: device of Equations

Convex Polygon: A plane, closed, number formed by three or much more line segments intersecting only at end points and each interior angle being less than 180 degrees.

Example the a convex polygon

Coordinate(s): A number assigned to each point on the number heat which reflects its place or ar on the line. In a coordinate aircraft the notified pair, (x, y), assigned come each allude of the aircraft showing its place in relation to the x-axis and y-axis.

Coordinate Plane: A plane that consists of a horizontal and vertical number line, intersecting at appropriate angles at your origins. The number lines, referred to as axes, division the plane into four quadrants. The quadrants are numbered I, II, III, and IV beginning in the upper ideal quadrant and also moving counterclockwise.

Coordinate Plane

Counterclockwise: A circular movement opposite come the direction that the activity of the hands of a clock. Counting numbers: The count numbers are the numbers in the following never-ending sequence: 1, 2, 3, 4, 5, 6, 7, . . . Us can also write this as +1,+2,+3,+4,+5,+6,+7, . . .. These numbers are likewise called the hopeful integers or organic numbers.

Counterclockwise direction

Cube: The third power of a number.

Cube Root: For actual number x and also y, y is the cube source of x, (written √3 x ), if y³ = x.

Data Set: A arsenal of information, generally in the form of numbers.

Degree: The degree of a ax is the amount of the index number of the variables. The level of a polynomial is the highest degree of any type of of its terms. If it contains no variables its degree is 0 if the is non-zero, and undefined if the polynomial is zero.

Dependent System: See: device of Equations

Dependent Variable: The change in a function representing the aspects of the range; the output values.

Direct Variation: For real variables x and y, y varies directly with x if y = Kx or yx = K because that a continuous K, K≠ 0. K is dubbed the constant of proportionality.

Discriminant: The expression b² −4ac that appears under the radical sign in the Quadratic Formula.

Domain: The set of input values in a function.

Elements: Members the a set.

Equation: A math sentence utilizing the equal authorize to state that 2 expressions stand for the same number.

Equivalent Equations: two equations are tantamount if they have actually the exact same solution or solution set.

Equivalent Inequalities: two inequalities are identical if they have the very same solution set.

Equivalent Expression: expression that have the same numerical value for offered values the the variables.

Exponent: expect that n is a totality number. Then, for any number x, the nth power of x, or x come the nth power, is the product of n components of the number x. This number is normally written x^n. The number x is usually called the base of the expression x^n, and also n is referred to as the exponent.

Exponential Function: for numbers a, k and b≠ 0, the duty f(t) = (ab)^ t/k is dubbed an exponential function. The number a = f(0) is the initial value, b is the base and also k is a consistent related to growth rate or period.

Example of an exponential function

Exponential Growth/Decay: Also check out Exponential Function. For a > 0 and also b > 1 the role denotes growth; for a > 0 and 0 Factor:

for integers a, b and also c, a and b are factors of c if c = ab. An in similar way f(x) and also g(x) are components of p(x) if p(x) = f(x) · g(x). Factor is also used together an instruction or command to express a given integer or polynomial together a product.

Formula: An equation mirroring the relationship between two or much more quantities represented by variables.

Function: A role is a preeminence which assigns to each member of a collection of inputs, dubbed the domain, a member of a collection of outputs, called the range.

Function Notation: f(x), read ”f of x”, creating one next of one equation and used to suggest the worth of the duty when the input is x. Also see Function.

Graph of a Function: The photographic representation the a duty by plotting all of its input-output pairs on a name: coordinates system.

Height: In a triangle that is the segment native a crest perpendicular to the selected base. Likewise used to describe the size of that segment.

Examples the triangle heights, labeled h

Horizontal Axis: See: name: coordinates Plane

Hypotenuse: The side opposite the best angle in a best triangle.

Inconsistent system: See: system of Equations

Independent system: See: system of Equations

Independent Variable: The change in a duty representing the aspects of the domain; the entry values.

Inequality: A explain that two expressions represent various values. There are assorted forms.

Strict Inequalities: statements such together “x is much less than y”, (x y ).

Weak inequalities: explanation such as “x is much less than or same to y”, (x ≤ y ), and also “x is greater than or same to y”, ( x ≥ y).

General inequality: The explain ”x is not equal come y”, (x≠ y ).

Input Values: The values of the domain that a function.

Integers: The arsenal of integers is created of the an adverse integers, zero and the positive integers: . . . ,−4,−3,−2,−1, 0, 1, 2, 3, 4, . . ..

Intersection of Sets: A collection whose facets are all the aspects that the provided sets have actually in common.

Inverse Variation: For actual variables x and y, y different inversely through x if yx = K or y = Kx and also K is a non-zero constant.

Irrational Number: A decimal number that neither repeats no one terminates. A number that deserve to not it is in expressed together an integer split by one integer.

Joint Variation: because that variables x, y and z, z varies jointly v x and also y if z = Kxy and also K is a non-zero constant.

Legs: The 2 sides the a ideal triangle that type the right angle.

Triangle legs

Less Than, greater Than: The statement the the number a is less than the number b, created a a.

Like Terms: Algebraic terms that contain the same variables and also for each variable the strength is the same.

Linear design for Multiplication: Skip counting on a number line.

Multiple: An creature or polynomial is said to it is in a lot of of any type of of its factors.

Multiplicative Identity: because that each n, n · 1 = n and also 1 is called the identity aspect for multiplication.

Multiplicative Inverse: The number x is dubbed the multiplicative station or mutual of n, n≠ 0 , if n · x = 1. This may likewise be created as n · 1/n = 1.

Natural Numbers: See: counting Numbers

Negative 1 Power: If x is non-zero, x^−1 is the number 1/x

Non-negative Numbers: Numbers higher than or equal to zero.

Obtuse Angle: An angle whose measure up is greater than 90 and less than 180 degrees.

Example of an obtuse angle

Obtuse Triangle: A triangle that has one obtuse angle.

Ordered pair: A pair of number that represent the works with of a point in the coordinate aircraft with the very first number measured follow me the horizontal scale and also the second along the upright scale.

Origin: The suggest with name: coordinates 0 ~ above a number line; the point with collaborates (0, 0) in the name: coordinates plane.

Output Values: The collection of results obtained by applying a function rule come a collection of intake values.

Parabola: The shape of the graph the f(x) = ax² + bx + c, a≠ 0. If the duty is composed as f(x) = a(x−h)²+k, a ≠ 0, then the peak is (h, k).

Example of a parabola

Parallel Lines: 2 lines in a airplane that never ever intersect.

Parent function: The simplest instance of a family of functions.

Perfect Cube: An essence n that can be written in the kind n = k³ , wherein k is one integer.

Perfect Square:

An essence n that can be created in the type n = k² , wherein k is an integer. Additionally a trinomial which can be written in the form (ax ± b)².

Perpendicular: Lines room perpendicular if they crossing to form a appropriate angle. Segments are perpendicular if the currently containing the segments space perpendicular.

Example of two perpendicular lines

Point-slope form: A type of a linear equation created as (y − y1) = m(x−x1) where m is the slope and the line passes through the allude (x1, y1).

Positive Integers: See: count Numbers

Power: See: Exponent

Polynomial: A polynomial is one algebraic expression obtained by adding, subtracting and also /or multiplying real numbers and also variables.

Quadrant: See: coordinate Plane

Quadratic Equation: one equation through a 2nd degree term as its highest level term.

Quadratic Expression: A polynomial comprise a second degree term together its highest level term.

Radical: An indicated root of a number or polynomial denoted by n√ so that r = n√x implies r^n = x. The table of contents n is generally omitted once n = 2 and also we create √x to typical the square source of x.

Radical Equation: one equation in i beg your pardon the variable appears in the radicand.

Radical Function: A duty which is the square root of a change expression. More generally, a function of the nth source of a change expression.

Radicand: The number or expression that shows up in the radical sign; the number or expression whose source is to be found.

Range: See: Function


A price is a department comparison between two quantities with various units that measure. Additionally see Unit Rate. The lot of interest charged ~ above an annual basis.

Rational Equation: an equation involving one or more rational expressions.

Rational Expression: one expression in the kind a/b v a and also b gift polynomial expressions, b of in ~ least level one and b ≠ 0.

Rational Number: A number that can be written as a/b wherein a is an integer and b is a natural number.

Reciprocal: See: Multiplicative Inverse

Right Angle: An angle formed by the intersection perpendicular lines; an angle through a measure up of 90 deg.

Right Triangle: A triangle that has actually a best angle.

Roots that a Quadratic: The remedies of ax²+bx+c = 0. The exact same values room zeros of the quadratic expression or the role f(x) = ax² + bx + c. They are additionally the x-intercepts of the intersection of the graph that f(x) v the x-axis.

Scale Factor: because that the parabola f(x) = a(x−h)² + k, a is the range factor.

Scientific Notation: Base ten numbers created in the kind a × 10^n wherein 1 ≤ a ≤ 10 and n is an integer.

Sequence: A perform of terms ordered by the natural numbers. The outputs the a duty whose domain is the herbal numbers.

Set: A collection of objects or elements.

Set Notation: A symbolic summary of the facets of a set. ”A is the collection of every x’s such the x is an facet of the herbal numbers through x greater than 2 and also less than 11” would be created A = {x|x is a herbal number , 2 ≠ x1

Slope-intercept form: The equation y = mx + b is the slope-intercept type of a line, wherein m is the slope and b is the y-intercept the the line.

Solution of an Equation: A systems to an equation through variable x is a number that, as soon as substituted because that x, makes the two sides of the equation equal. If the equation has much more than one solution, then the repertoire of options is dubbed the systems set.

Solution of an Inequality: The values that may be substituted for the change in one inequality to kind a true statement.

Solution that a mechanism of linear Equations: See device of linear Equations.

Square Root: For non-negative x and also y, y is the square source of x if y² = x. For x a actual number, √x² = |x| because the square source symbol denotes the non-negative root.

Square source Function: check out Radical Function.

Standard Form: A kind of a linear equation composed as Ax +By = C.

Subset: set B is a subset of set A if every element of set B is also an aspect of set A.

System of direct Equations: two equations the both impose conditions on the variables. An bespeak pair is a systems of the system if and also only if it is a solution of every of the provided equations.

Systems of equations might be classified together follows:

A device with one or more solutions is referred to as Consistent. A device with no equipment is referred to as Inconsistent. A consistent system with exactly one systems is dubbed Independent. A consistent system with much more than one equipment is dubbed Dependent.

System of inequalities in 2 variables: two inequalities the both impose problems on the variables. If the inequalities type an ”and” declare the equipment is every ordered pairs that meet both inequalities. If the inequalities kind an ”or” statement the equipment is any kind of ordered pair the satisfies one of two people inequality.

Term: 1. Every member of a sequence. 2. Every expression in a polynomial be separate by enhancement or individually signs.

Translation: A transformation that move a figure along a line in a aircraft but does not change its size or shape. For a parabola, a horizontal or vertical shift in the place of the parental function.

Unit Rate: A ratio of 2 unlike quantities that has a denominator the 1 unit.

Variable: A letter or symbol that represents one unknown quantity.


The common endpoint of two rays developing an angle. The highest or lowest allude of the graph that a parabola.

Vertex type of a Parabola: A quadratic role written as f(x) = a(x − h)² + k is in peak form. The peak is (h, k) and also the coefficient a is the scale factor.

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Vertical Axis: See: name: coordinates Plane

Whole Numbers: The entirety numbers are the numbers in the adhering to never-ending sequence: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, . . .