# Equations Flashcards, test questions and answers

Discover flashcards, test exam answers, and assignments to help you learn more about Equations and other subjects. Don’t miss the chance to use them for more effective college education. Use our database of questions and answers on Equations and get quick solutions for your test.

## What is Equations?

Equations are mathematical expressions that use symbols to state a relationship between two or more values. They are an essential tool in mathematics and science, as they allow us to explain the behavior of physical phenomena. Equations are also used in everyday life, including calculating interest rates on loans and mortgages, estimating travel times or distances, and even determining how much paint is needed for a home improvement project.In algebraic equations, symbols such as letters or symbols representing unknowns represent numbers or variables. The equation states what the value of each symbol must be so that both sides of the equation equal one another. An example would be x + 5 = 8; here ‘x’ represents an unknown number which needs to be determined by solving the equation. In this case, we can see that x = 3 since 3+5 equals 8. More complex equations involve multiple steps such as rearranging terms, substituting known values for variables and using operations like multiplication and division to solve for unknowns. For instance, if we were given: 2y 10 = 12 then our first step would be to add 10 to both sides; giving us 2y = 22 . We could then divide both sides by 2; giving us y = 11 . This demonstrates how equations can help us determine relationships between different properties without actually knowing any numerical values beforehand. Besides solving problems involving unknowns, equations can also be used describe patterns within data sets using graphs or tables of information (e.g., line graphs). By plotting points onto a graph with known coordinates (x-values & y-values) we can create a linear regression line which best fits all these points together this line is described by an equation called the â€˜regression line’. Overall equations provide insight into many aspects of our lives from helping solve math problems through algebraic equations to providing scientific explanations about physical phenomena via graphical models like linear regressions lines. Ultimately their power lies in their ability make connections between various properties so that patterns within data become visible thus allowing further investigations into why things happen the way they do.