
PDF Version
... Now we can replace the pieces of information with equations. Instead of saying "if we add the number of cats the lady owns and the number of birds the lady owns, we get 21, " we can say: x + y = 21 What about the second piece of information: "if we add the number of cat legs and the number of bird l ...
... Now we can replace the pieces of information with equations. Instead of saying "if we add the number of cats the lady owns and the number of birds the lady owns, we get 21, " we can say: x + y = 21 What about the second piece of information: "if we add the number of cat legs and the number of bird l ...
Equation Building - Answer Explanations
... Equation Building The most effective way of approaching many word problems is to find the equation or equations that are implied by the words. To do so effectively, you must know what operations are implied by certain common words. a number x (the unknown to be solved for) of multiplication out of d ...
... Equation Building The most effective way of approaching many word problems is to find the equation or equations that are implied by the words. To do so effectively, you must know what operations are implied by certain common words. a number x (the unknown to be solved for) of multiplication out of d ...
Systems of Equations: Introduction
... To solve a system of linear equations by elimination requires one of the variables, in both equations, to have opposite numerical coefficients. This can be achieved by multiplying one or both of the equations by an appropriate value. When this is done, the equations are then combined. This will elim ...
... To solve a system of linear equations by elimination requires one of the variables, in both equations, to have opposite numerical coefficients. This can be achieved by multiplying one or both of the equations by an appropriate value. When this is done, the equations are then combined. This will elim ...
BCPS Intensified Algebra Final Exam 2013/2014
... 12. Martin has $55 and he is earning $130 per week at his summer job. Juan has $110 dollars and he is earning $130 per week at his summer job. The following system of equations represents this situation, where each boy's total money, m, is written as a function of weeks worked, w. ...
... 12. Martin has $55 and he is earning $130 per week at his summer job. Juan has $110 dollars and he is earning $130 per week at his summer job. The following system of equations represents this situation, where each boy's total money, m, is written as a function of weeks worked, w. ...
Equation

In mathematics, an equation is an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions. An equation differs from an identity in that an equation is not necessarily true for all possible values of the variable.There are many types of equations, and they are found in all areas of mathematics; the techniques used to examine them differ according to their type.Algebra studies two main families of equations: polynomial equations and, among them, linear equations. Polynomial equations have the form P(X) = 0, where P is a polynomial. Linear equations have the form a(x) + b = 0, where a is a linear function and b is a vector. To solve them, one uses algorithmic or geometric techniques, coming from linear algebra or mathematical analysis. Changing the domain of a function can change the problem considerably. Algebra also studies Diophantine equations where the coefficients and solutions are integers. The techniques used are different and come from number theory. These equations are difficult in general; one often searches just to find the existence or absence of a solution, and, if they exist, to count the number of solutions.Geometry uses equations to describe geometric figures. The objective is now different, as equations are used to describe geometric properties. In this context, there are two large families of equations, Cartesian equations and parametric equations.Differential equations are equations involving one or more functions and their derivatives. They are solved by finding an expression for the function that does not involve derivatives. Differential equations are used to model real-life processes in areas such as physics, chemistry, biology, and economics.The ""="" symbol was invented by Robert Recorde (1510–1558), who considered that nothing could be more equal than parallel straight lines with the same length.