The Basics of Algebra
Algebra entails basic operations such as addition, subtraction division, and multiplication that involve both constants and variables. They are represented by letters that show the number that is to be determined, while constants are numbers that were defined. In algebra, you will use a varying value to find an unknown number and solve algebraic equations. Basic arithmetic calculations are carried out on these items for the unknown values to be determined. To add or subtract terms in algebra, they will have to be like terms having the same variable.
When they are alike, you can add and subtract the numbers attached to them, but the letters remain unchanged. If an algebraic expression has several variables, you can only add and subtract similar answers until you reach an answer where they are unlike. Unlike in addition or subtraction, it is not a must for a student to have similar letters for them to carry out multiplication and division.
Despite having two or more different variables in an expression, you can still multiply or divide them, but the result will include the values used. All the calculations carried out on algebraic expressions follow the BOD MAS rule, which defines an order that must be followed while solving algebra problems. It will show you the operations that should be given a higher priority for students to get an optimal result.
Algebraic terms are represented in an expression that can contain a variable, constants, and calculations that are to be performed on them. Addition and subtraction can only be used to simplify those expressions that have the same undefined letters. Irrespective of the available varying terms, multiplication or division can simplify a given expression. Both positive and negative numbers can be used to define variables as well as constants.
Expressions can be converted into equations which will help in the solving of problems in algebra. When a student is provided with an equation that comprises a variable and a constant, they can easily find the varying value for an equation to be balanced. The operations that are carried out on the left side should produce a result that is equal to the values on the right side of an equal sign. The known values present will help students find the unknown number that will give them a balanced equation. As long as the same calculations are done on both sides of the equations, it will remain balanced. This is an important concept that will help people solve problems in algebra and find unknown numbers.
The letters in algebra can contain a coefficient which is a number that is multiplied by a variable. If a variable does not have a visible coefficient, then the coefficient that will be used is one. When a varying term has a negative sign, the coefficient attached is a negative number. The coefficients used should be used in solving the problems as variables with different coefficients are different during operations.
Another basic information about algebra is that it contains specific formulas and literal equations that will show a student how to solve an equation for a particular varying term that follows a given pattern. These general formulas guide a student into finding an easy method of solving algebraic equations and finding the value of an unknown term.