definition of equation
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- An equation is simply a number sentence with a variable in the place of an unknown value. A variable is a letter that is substituted in place of the unknown value. It can be any letter you want, although x is most commonly used. To unlock this lesson you must be a Study.com Member.
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- In Algebra, the equation of a line is represented by y = mx + b, where m is the slope and b is the y-intercept. Thus, algebraists prefer to maintain this format by using the form LinReg(ax + b), where a is the slope and b in the y-intercept.
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- n. 1. Mathematics. a. A constant in an equation that varies in other equations of the same general form, especially such a constant in the equation of a curve or surface that can be varied to represent a family of curves or surfaces.
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William Howard Taft William Howard Taft was born September 15, 1857 in Cincinnati, Ohio, to Alphonso Taft and Louise Torrey. The Taft family was not wealthy, living in a modest home in the suburb of Mount Auburn. Alphonso served as a judge, ambassador and in the cabinet, as War Secretary and Attorney General under Ulysses S. Grant.
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- Algebraic Equation: A statement using variables and an equal sign. It may or may not have operations. example: 2(a+100)=5a Algebraic Expression: A statement using variables t … hat does not include an equal sign. It may or may not have operations.
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What is the difference between an Expression and an Equation? Answer. An equation is the combination of two expressions that are separated by an equals sign. So this means that both expressions must equal each other. This makes the problem relatively simple to solve, because you can solve the side that is easiest first and then solve the other side. Let's take a look at an equation and solve it: x - 4 = 5.
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System of Equations This may be a new term for you if you are just beginning your study of Algebra. A system of equations is a set of two or more equations that you deal with at one time. When solving the system, you must consider all of the equations involved and find a solution that satisfies all of the equations.
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- balanced equation noun [C]. › a ​chemical ​equation that has an ​equal ​amount of each ​element on the ​left and ​right ​sides. (Definition of balanced equation from the Cambridge Advanced Learners Dictionary & Thesaurus © Cambridge University Press).
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Infinite Solutions Infinite Solutions. In mathematics, we often come across with equations and expressions. An equation is an expression with an equal sign somewhere in between. Just to recall that an expression is made up of variables and constant terms conjoined together by the means of algebraic operators.
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Coefficients: Definition & Concept Coefficients are the multiplicative numbers located directly in front of a variable, such as x or y. If a number in an equation is not connected with a variable, that number is not considered a coefficient.
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Equations and Formulas What is an Equation. An equation says that two things are equal. It will have an equals sign = like this: That equation says: what is on the left (x + 2) is equal to what is on the right (6) So an equation is like a statement this equals that.
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- Solving an Equation An equation is a mathematical statement that has two expressions separated by an equal sign. The expression on the left side of the equal sign has the same value as the expression on the right side. One or both of the expressions may contain variables. Solving an equation means manipulating the expressions and finding the value of the variables. An example might be:x = 4+8 to solve this equation we would add 4 and 8 and find that x = 12. Solving an Equation. An equation is a mathematical statement that has two expressions separated by an equal sign. The expression on the left side of the equal sign has the same value as the expression on the right side.
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Linear Equations A linear equation in two variables describes a relationship in which the value of one of the variables depends on the value of the other variable. In a linear equation in x and y, x is called x is the independent variable and y depends on it. We call y the dependent variable.
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Linear equation Graph sample of linear equations. A linear equation is 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 (however, different variables may occur in different terms).
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- exponential adjective. exponential equation mathematics › An exponential ​equation is an equation (= mathematical ​statement) in which the variable (= ​letter or ​symbol) ​appears in an ​exponent. (Definition of exponential from the Cambridge Academic Content Dictionary © Cambridge University Press). See all translations.
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equation equation definition. An expression of equality between two formulas in mathematics. The two formulas are written with an equal sign between them: 2 + 2 = 4 is an equation, as is E = mc2.
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Algebra Definition Definition: A branch of mathematics that substitutes letters for numbers. An algebraic equation represents a scale, what is done on one side of the scale with a number is also done to the other side of the scale. The numbers are the constants. Examples: Algebra is an abstract concept in mathematics. For a complete overview of what Algebra is, please see the full article about Algebra. 1  Article. 2  Article. 3  Article. 4  Article. 5  Article. 6  Article. 7  Article. 8  List.
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linear lin·e·ar. Of or resembling a line. ♦ A linear equation is an algebraic equation, such as y = 4 x + 3, in which the variables are of the first degree (that is, raised only to the first power). The graph of such an equation is a straight line.Thesaurus AntonymsRelated WordsSynonymsLegend: A linear equation is an algebraic equation, such as y = 4 x + 3, in which the variables are of the first degree (that is, raised only to the first power). The graph of such an equation is a straight line. Thesaurus AntonymsRelated WordsSynonymsLegend:
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Solving Equations Solving Equations What is an Equation? An equation says that two things are equal. It will have an equals sign = like this:
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Algebra - Basic Definitions So an equation is like a statement this equals that Parts of an Equation. So people can talk about equations, there are names for different parts (better than saying that thingy there!) Here we have an equation that says 4x − 7 equals 5, and all its parts: A Variable is a symbol for a number we don't know yet. It is usually a letter like x or y.
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How to Find Regression Equation? Regression Definition: A regression is a statistical analysis assessing the association between two variables. It is used to find the relationship between two variables. Regression Equation(y) = a + bx Slope(b) = (NσXY - (σX)(σY)) / (NσX2 - (σX)2) Intercept(a) = (σY-b(σX)) / N Where,
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- An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers. polynomial equation An equation of the form , where is a polynomial. population In statistics, population refers to the entire group about which data are being collected. positive number
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- Definition: A linear equation in two variables is an equation which may be written in the form y = mx + b where m, and. b are real numbers. The graph of a linear equation in two variables is a non-vertical line with slope m and y-intercept b. Every non-vertical line is.
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- An equation is a mathematical statement that two expressions are equal. In a simple numerical equation, expressions made of numbers and operations appear on each side of an equals sign. The equals sign means that the two expressions have the same value. For example, 3 + 9 = 12 is an equation.
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- Definition of Inconsistent. Inconsistent Equations: A system of equations that has no solutions. . Inconsistent inequalities:A system of inequalities that has no solutions. Inconsistent equations: The system of equations given below is inconsistent.
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- A chemical equation is basically putting compounds, elements, or mixtures together to form something new. When this happens it is a chemical change because a new solution is being formed. For example: 2H2+02---->2H20. The 2H2 is just multiple hydrogen elements being combined with 2 oxygen elements.