This pre-algebra math tutorial from NutshellMath offers homework help in solving equations and inequalities. An equation or inequality is considered solved when the value or values for the variable that make the equation or inequality true are found. For equations with one variable, there is often one value for the variable that is a solution. For equations with more variables, the set of solutions may be represented by an equation for a line. Learning how to solve equations and inequalities is an essential skill in algebra.
The tutorial lays out four steps to solving equations. First it is necessary to simplify the equation by using the distributive property where applicable and combining like terms. Next, it is necessary to collect all the variables together on one side of the equation by adding or subtracting from each side. Using inverse operations for addition and subtraction can remove constants next, to get the variables and constants on opposite sides. Lastly, inverse operations can be used to eliminate coefficients in front of variables to get the variables by themselves. It is important to remember that when multiplying or dividing an inequality by a negative number, the direction of the inequality sign will need to be flipped.
The examples in this tutorial will reinforce the basic techniques needed to solve equations and inequalities with one variable. The ability to manipulate algebraic statements of equality and inequality is very important to developing a mastery of algebra.