A Formula Or Equation That Involves Several Variables Is A — I Hate CBT's (2024)

Question: Variable

Answer: A variable is an alphabetic character representing a number

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Question: Algebraic expression

Answer: An algebraic expression built up from constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

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Question: Equation

Answer: A formula of the form A = B, where A and B are expressions that may contain one or several variables called unknowns, and “=” denotes the equality binary relation or an equation

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Question: Open sentence

Answer: A mathematical sentence that contains one or more variables is sometimes called an open sentence.

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Question: Simplify

Answer: To reduce mathematical expression to simpler terms or simplify : to convert a mathematical expression such as a fraction or equation to a simpler form by removing common factors or regrouping elements

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Question: Exponent

Answer: A mathematical notation that implies the number of times a number is to be multiplied by itself is called an exponent.

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Question: Base

Answer: In an expression of the form xy, x is the base. The base x is a factor that repeats y times

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Question: Power

Answer: an Exponent tells how many times a number is multiplied by itself and its raised to a power.

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Question: Evaluate

Answer: The process of replacing the variables in an expression with the numerical values and simplifying it is known as evaluating an algebraic expression

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Question: Identity

Answer: An equation which is true for every value of the variable and defines its identity

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Question: Consecutive Integers

Answer: One after the other where integers are consecutive

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Question: Uniform motion

Answer: A body is said to be in uniform motion if it moves in a straight line at constant speed

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Question: Formula

Answer: An expression or equation that expresses the relationship between certain quantities in a formula

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Question: Distributive Property

Answer: The product of a number and a sum is equal to the sum of the individual products of the addends and the number and its disributed

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Question: Term

Answer: A mathematical expression which may form a separable part of an equation, a series, or another expression, or term

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Question: Constant

Answer: A number on its own, or sometimes a letter such as a, b or c to stand for a fixed number such as a constant

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Question: Coefficient

Answer: A term in an expression is the number which is multiplied by one or more variables or powers of variables in the term coefficent

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Question: Like Terms

Answer: Monomials that contain the same variables raised to the same powers. They can be combined to form a single term because they are like terms

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Question: Literal Equations

Answer: an equation where variables represent known values. Used to represent things like distance, time, interest, and slope very literal like Dan.

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Question: Inequaliy

Answer: A mathematical sentence that uses symbols such as <, ≤,=””>, or ≥ to compare two quantities, such as an inequality.

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Question: Compound Inequalities

Answer: two or more simple inequalities joined by the terms ‘and’ or ‘or’ called compound inequalities

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Question: Absolute Value

Answer: the magnitude of a real number,Absolute Value, without regard to its sign

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Question: Scientific Notation

Answer: A way of writing numbers that are too big or too small to be conveniently written in decimal form in a Scientific Notation

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Question: Slope

Answer: the measure of steepness of a line is it’s slope

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Question: Linear Equations

Answer: an equation of the form Ax + By = C, where A ≠ 0 and B ≠ 0. The graph of a linear equation is a straight line

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Question: y-intercept

Answer: The y-coordinate of the point where a line intersects the y-axis is the y-intercept of that line

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Question: x-intercept

Answer: The x-coordinate of the point where a line intersects the x-axis is the x-intercept of that line

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Question: Slope-intercept form

Answer: It is simply the way of writing the equation of a line in Slope-intercept form so that the slope(steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately apparent

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Question: Standard form of a Literal Equation

Answer: an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable, Standard form of a Literal Equation.

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Question: Point Slope Form

Answer: Point Slope Form is the equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line

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Question: Point Slope Form

Answer: lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch at any point are said to be parallel

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Question: Perpendicular Lines

Answer: Lines that are at right angles (90°) to each other and perpendicular

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Question: Negative Reciprocals

Answer: The result of taking the reciprocal of a number and then changing the sign resulting in a

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Question: Velocity

Answer: the speed of something in a given direction.Velocity

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Question: Relation

Answer: A set of input and output values, usually represented in ordered pairs, refers to a Relation.

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Question: Domain

Answer: Of a relation is the set of all x-coordinates of the ordered pairs of that relation.Domain

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Question: Range

Answer: The set of all output values or the y-values of a function is its Range

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Question: Function

Answer: a relationship or expression involving one or more variables.Function

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Question: Vertical Line Test

Answer: A test used to determine whether a relation is a function or not. A graph is said to be a function if the vertical line test passes

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Question: Function Rule

Answer: A function r is a relationship in math between two variables, often x and y, and for every value of x there is exactly one value of y. The x value is referred to as the independent variable and the y as the dependent variable.Function Rule

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Question: Function Notation

Answer: We write f (x) to mean the function whose input is x.Function Notation

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Question: Independent Variable

Answer: A variable in an equation, whose values make up the domain. Independent Variable

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Question: Dependent Variable

Answer: A variable whose value depends on the values of one or more independent variables.

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Question: Direct Variation

Answer: Two quantities are said to be in direct proportion (or directly variation), if one is a constant multiple of the other, i.e. y is said to be directly proportional to x if y = kx where k is a constant.

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Question: Constant of Variation

Answer: If a quantity x is proportional (directly) to another quantity y, then x is written as x = ky, where k is called the Constant of Proportionality(Constant of Variation).

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Question: Ratio

Answer: A comparison of two numbers is a Ratio

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Question: Proportion

Answer: An equation written in the form of a/b = c/d stating that two ratios are equivalent.Proportion

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Question: Unit Rate

Answer: The ratio of two measurements in which the second term is 1.Unit Rate

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Question: Weighted Average

Answer: A set of data is the sum of the product of each number in the set and its weight divided by the sum of all the weight is its Weighted Average

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Question: Arithmetic Sequence

Answer: a sequence in which each term is found by adding the same number to the previous term uses the formula a(sub)n=a(sub)1+d(n-1) Arithmetic Sequence.

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Question: Geometric Sequence

Answer: Geometric Sequence in which each term is found by multiplying the previous term by the same number. uses the formula a(r)to the power of (n-1)

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Question: Common Ratio

Answer: the ratio of a term in a geometric sequence with the previous term is Common Ratio

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Question: Recursive Formula

Answer: Recursive Formula Refers back to previous terms to determine the current term. The first term (or more) must be defined

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Question: Explicit Formula

Answer: finding the value of a term when you don’t know the preceding term; defines the nth term of a sequence as a function of n or Explicit Formula

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Question: Iteration

Answer: Process of a function composing itself immediately. Iteration

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Question: Sequence

Answer: A sequence of numbers in a specific order.

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Question: Inductive reasoning

Answer: A type of logic in which generalizations are based on a large number of specific observations.Inductive reasoning

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Question: Conjecture

Answer: An inference based upon guesswork; a supposition a Conjecture

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Question: Fibonacci Sequence

Answer: the infinite sequence of numbers(1,1,2,3,5,8,13,…);starting with the third terms, each number is the sum of the two previous numbers; it is named after the thirteenth century mathematical Leonardo Fibonacci

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Question: Exponential Function

Answer: A function that can be described by an equation of the form y= a*b^x, where b > 0 and b ≠ 1 is Exponential Function

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Question: Exponential Growth

Answer: Growth pattern in which the individuals in a population reproduce at a constant rate in its Exponential Growth

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Question: Growth Factor

Answer: 1 plus the percent rate of change for an exponential growth situation. Growth Factor

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Question: Compound Interest

Answer: Interests are compound earned on both the initial principal and the interest reinvested from prior periods

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Question: Interest Period

Answer: The length of time over which interest is calculated is its Interest Period

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Question: Decay Factor

Answer: the expression (1 - r) in the exponential decay model y = a(1 - r)t or Decay Factor

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Question: Systems of linear equations

Answer: Two or more equations that when graphed meet at a point in a Systems of linear equations

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Question: Solution of systems of linear equations

Answer: The solution to systems of linear equations will be either a point, no solution, or infinitely many solutions.Solution of systems of linear equations

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Question: substitution method

Answer: The substitution method is used to eliminate one of the variables by replacement when solving a system of equations, substitution method

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Question: Elimination Method

Answer: To solve a system of equations by elimination we transform the system such that one variable “cancels out” Elimination Method

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Question: Linear Inequality

Answer: an inequality which involves a linear function.

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Question: Systems of Linear Inequalities

Answer: a set of linear inequalities that you deal with all at once. Usually you start off with two or three linear inequalities. Systems of Linear Inequalities

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Question: Solution of System of Linear Inequality

Answer: The “solution” of the system is the region where all the inequalities are happy; that is, the solution is where all the inequalities work, the region where all three individual solution regions overlap. Solution of System of Linear Inequality

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Question: Real Numbers

Answer: a rational number or the limit of a sequence of rational numbers, as opposed to a complex number Real Numbers

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Question: Natural Numbers/Counting

Answer: the number 1 and any other number obtained by adding 1 to it repeatedly. Natural Numbers

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Question: Whole Numbers

Answer: Also called counting number. one of the positive integers or zero; any of the numbers (0, 1, 2, 3,…) Whole Numbers

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Question: Integers

Answer: one of the positive or negative numbers 1, 2, 3, etc., or zero. ex -8 Integers

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Question: Rational numbers

Answer: capable of being expressed exactly by a ratio of two integers. ex: ⅗ rational numbers

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Question: Irrational numbers

Answer: not capable of being expressed exactly as a ratio of two integers. ex: π Irrational numbers

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Question: Square root

Answer: a number that produces a specified quantity when multiplied by itself.: “7 is a square root of 49”

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Question: Cube Root

Answer: the number that produces a given number when cubed. ex: 327 3x3x3=27 3 is a cube root of 27

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Question: Degree of a monomial

Answer: The sum of the exponents of the variables of a monomial Degree of a monomial

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Question: Polynomial

Answer: A monomial or more than one monomials

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Question: Monomial

Answer: A number, a variable, or a product of a number and one or more variables Monomial

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Question: Standard form of a Polynomial

Answer: a polynomial that is written with the terms in order from greatest degree to least degree.

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Question: Degree of a Polynomial

Answer: The greatest of the degrees of its terms after it has been simplified Degree of a Polynomial

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Question: Binomial

Answer: A polynomial with two terms

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Question: Trinomial

Answer: A polynomial with three terms

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A Formula Or Equation That Involves Several Variables Is A — I Hate CBT's (2024)

FAQs

What is a formula or equation that involves several variables called? ›

On the other hand, a polynomial equation may involve several variables (the multivariate case), in which case the term polynomial equation is usually preferred.

Is a formula or equation that represents a relationship between two or more variables? ›

A formula is an equation that expresses a relationship between two or more variables. The process of finding formulas to describe real-world phenomena is called mathematical modeling. Such​ equations, together with the meaning assigned to the​ variables, are called mathematical​ models.

What is a formula or equation with several variables? ›

Multivariable equations are algebraic equations with more than one variable. They are similar to multi step equations because they include multiple operations, often on both sides of the equals sign.

What are multi-variable equations called? ›

Polynomial equations

An algebraic equation is univariate if it involves only one variable. On the other hand, a polynomial equation may involve several variables, in which case it is called multivariate (multiple variables, x, y, z, etc.).

Is a formula an equation that relates two or more quantities? ›

Formulas are equations that relate two or more quantities and often have a practical purpose rather than feeling abstract. Formulas are a constant throughout all levels of mathematics, and you'll be asked to memorize them, understand when to apply them, and handle the number-crunching that goes into each use case.

What is two or more equations with the same set of variables called? ›

A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.

What is an equation that has two or more variables? ›

A system of linear equations consists of two or more linear equations made up of two or more variables such that all equations in the system are considered simultaneously.

What are equations with 3 variables called? ›

Linear equations in three variables. If a, b, c and r are real numbers (and if a, b, and c are not all equal to 0) then ax + by + cz = r is called a linear equation in three variables. (The “three variables” are the x, the y, and the z.) The numbers a, b, and c are called the coefficients of the equation.

What is an equation that contains more than one variable called? ›

An example of a literal equation is an equation that has more than one variable, each variable has its own importance and the equation can be solved for any of the variables. The following is an example of a literal equation for the area of a parallelogram: A = bh.

What is an equation that contains a variable called? ›

Expression. An (algebraic) expression is a mathematical phrase which can contain numbers, operators, and variables. If a variable is multiplied by a number, this number is called a coefficient.

What are the variables in a formula called? ›

If x and y are two variables in an algebraic equation and every value of x is linked with any other value of y, then 'y' value is said to be a function of x value known as an independent variable, and 'y' value is known as a dependent variable.

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