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solving for a variable
solving for a variable

... solve for in the equation. Step 2 Identify the operations on this variable and the order in which they are applied. Step 3 Use inverse operations to undo operations and isolate the variable. ...
Solving Two-Step Equations
Solving Two-Step Equations

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Heart of Algebra - The College Board

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2-1 Solving One-Step Equations

... the solutions of an equation is also called solving the equation. ...
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UNIT WISE - Directorate Of Technical Education

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Review for DSMA 0301 Final Exam

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Graphing Linear Systems

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College Algebra, Section 6.4, #36 Polynomial Equations Continued

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Finding the Standard Equation of an Ellipse

... The center of the ellipse is (0, 0). Because the denominator of the y2-term is larger than the denominator of the x2-term, you can conclude that the major axis is vertical. Moreover, because a = 6 the vertices are (0, –6) and (0, 6). Finally, because b = 3, the endpoints of the minor axis are (–3, 0 ...
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MATH 1 - jridges

... Prior to this unit, students need to have worked extensively with operations on integers, rational numbers, and square roots of nonnegative integers as indicated in the grade 6 – 8 standards for Number and Operations. In the unit students will apply and extend all of standards for algebra listed as ...
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AP Statistics Section 3.2 A Regression Lines

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5.7 Slope-Intercept Form

... What To Do, What To Do… Graph the equation. 2x + y = 4 Step 1: Find m and b. 2x + y = 4 – 2x = – 2x y = 4 – 2x y = –2x + 4 ...
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Solve the equation.

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Answers

... To solve a system of linear equations by elimination, add or subtract the equations to eliminate one of the variables. You may first need to multiply one or both of the equations by a constant so that one of the variables has the same (or opposite) coefficient in one equation as it has in the other. ...
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Section 6.6 The Fundamental Theorem of Algebra Polynomial

... Notice that the degree of the function in Example 1 is the same as the number of zeros. This is true for all polynomial functions. However, all of the zeros are not necessarily real zeros. Polynomials functions, like quadratic functions, may have complex zeros that are not real numbers. ...
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Calculus of variations

Calculus of variations is a field of mathematical analysis that deals with maximizing or minimizing functionals, which are mappings from a set of functions to the real numbers. Functionals are often expressed as definite integrals involving functions and their derivatives. The interest is in extremal functions that make the functional attain a maximum or minimum value – or stationary functions – those where the rate of change of the functional is zero.A simple example of such a problem is to find the curve of shortest length connecting two points. If there are no constraints, the solution is obviously a straight line between the points. However, if the curve is constrained to lie on a surface in space, then the solution is less obvious, and possibly many solutions may exist. Such solutions are known as geodesics. A related problem is posed by Fermat's principle: light follows the path of shortest optical length connecting two points, where the optical length depends upon the material of the medium. One corresponding concept in mechanics is the principle of least action.Many important problems involve functions of several variables. Solutions of boundary value problems for the Laplace equation satisfy the Dirichlet principle. Plateau's problem requires finding a surface of minimal area that spans a given contour in space: a solution can often be found by dipping a frame in a solution of soap suds. Although such experiments are relatively easy to perform, their mathematical interpretation is far from simple: there may be more than one locally minimizing surface, and they may have non-trivial topology.
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