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The Equations with variables on both sides exercise appears under the 8th grade (U.S.) Math MissionAlgebra basics Math Mission, Mathematics I Math Mission, Algebra I Math Mission, High school geometry Math Mission and Mathematics II Math Mission. This exercise practices solving algebraic equations with the properties of equality.

Types of Problems

There is one type of problem in this exercise:

  1. Solve the equation: This problem provides a linear equation in one variable that has instances of the variable on both sides of the equals sign. The user is asked to solve the equation and provide the answer in the space provided.
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    Solve the equation

Strategies

The addition, subtraction, multiplication and division properties of equality would be tools that could be used to solve the problems in this exercise.

  1. The properties of equality can be summarized as "whatever is done to one side of the equation should be done to the other side to preserve the equality."
  2. The one special case exception to the properties of equality is that division by zero may not occur.
  3. If the equation provided is {ax+b=cx+d}, then the solution can be found as {x=\frac{(d-b)}{(a-c)}} which can be programmed into certain calculators.

Real-life Applications

  1. Applications include supply and demand lines form business and various other situations where there is information gained from different resources.
  2. Computers are also equation solvers. Computers were originally invented to solve equations over and over again instead of humans doing the calculations.

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