Solving Equations with Variables Worksheets

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Solving equations with variable sides is not too difficult. This can be achieved by first knowing the meaning of each side of the equation and how it relates to the main variable. For instance, if a variable represents the rate of temperature, then you can solve the equation for the temperature by determining the rate at which the fluid drains off the hotter side. This is usually done by plotting the temperature versus time on graph paper. You can plot different graphs to see how different values of the variable relate to the main concept.

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Other types of relationships that can be solved using variable values are like terms of multiplication. Say, you want to know the volume of some liquid or other material. To find the value of the variable like water below, plot the function of the average rate of conversion of mass into vapor and find the y-intercept on the left hand axis of the worksheet. This worksheet answers the question, “How many times can I convert from liquid to air? “.

Like the previous example, plot the square root of the unknown value on the right-axis of the worksheet. The function of the square root of x is also determined by the input for the function. Solving equations like this is a little more complicated than just plugging the unknown value of the variable into the calculator. Some algebra symbols need to be defined, and the calculator needs to be recalculated to account for these symbols before it uses them in solving an equation.

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A least common constant (LCC) is the largest number that is less than zero. The results are displayed as lower or higher sign. The range of lowest to highest values can be plotted on the worksheet. This makes it much easier to solve equations of this nature. Solving lcg for x yields the value of the function at the point of the equation where the function is graphed.

A mixed number is any natural number that is not a power of one or a number that is not an arithmetic number. Many of the problems in calculus are multi-dimensional. This includes graphs of slopes and functions of multiple variables. An algebra worksheet can be used to solve equations of the form ax=ax+b=c where c is a positive number.

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Using a worksheet that includes some of the basic algebra tools of solving quadratic equations, students learn how to use visual observation and logic to solve equations of this kind. The spreadsheet includes the function of the unknown variable a(I), the unknown number of(I), the arithmetic mean of a(I) and b(I), the slope of a(I) on the x-axis, the area between a(I) and b(I), and the area between the x-axis of the plotted function a and the x-axis of the plotted curve e. For instance, if we plot a quadratic equation, we would want to show the x-axes to represent the x-axis of the plot, the y-axes to represent the y-axis of the graph, and the c’s, the slope of a(I) on the x-axis, to represent the slope of the plotted function. Solving quadratic equations with spreadsheets is much like solving quadratic equations in textbooks.

Some of the benefits of using spreadsheets to solve math problems are that they are easy to learn, quick to use and allows many types of mathematical calculations. By learning the visual aspect of math, students will be able to see why solutions to linear equations look the way they do and why they are not valid if the original inputs are re-arranged so that the results hold for all input values. This makes working with algebra more fun and flexible for students to work on their projects. Some teachers have found that using spreadsheets for math homework is a great way to save time and energy and get the student more involved with the lesson. Many teachers have also found that by allowing the student to see why an answer is correct and how to alter it for another answer is a positive motivator for working on problems.

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Using worksheets to solve equations and calculate data is also easier than trying to solve each problem by hand or using algebra. The worksheet functions as a visual tool to explain the problem in mathematics and visual learners will find it easier to grasp algebraic equations and solve them by using a worksheet more easily. A worksheet can also be used to store notes about a certain problem, to remind the student about an integral part of a solution, or to keep track of any other information that is needed for a particular equation. Many teachers feel that students benefit from using worksheets for their math lessons.

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