In a Direct Variation relationship between two variables, one is a constant multiple of the other (x = 3y) so that as one variable changes the other changes in proportion to it. In an Inverse Variation relationship, the product is a constant, so that as one variable increases the other decreases in proportion so that the product remains the same. Direct and inverse variation helps us to find a way of changing one number variation into another number. Equations with these two have a little attractive sound. Direct variation let one number increases the other one. It is a change that makes one value directly proportional to another. You can take the example of the relationship between height and age. The size of anything increases with the increase in the age of anything. In mathematics solutions, use the equation y = kx to show the direct variation. For example, there are two quantities x and y that is age and the height. Also, you can use equation y = kx to show direct variation. Here, k is the constant value of proportionality. You will consider the size increase in y to get a boost in x. For example, the amount will double; you have an increase in values that is y = 2x. In inverse variations, the situation will be different or opposite as one value increase when another one will decrease. We will call all this process an inverse proportion. The ratio between spending time in your class and the grade on the midterm. When your leisure time increase, your test or exam score will decrease.
In these worksheets, students will work with direct and inverse variation. Problems are presented as word problems, and students will be required to write the problem as an equation and then solve. Extra paper may be required in order for students to do their calculations. This set of worksheets contains lessons, step-by-step solutions to sample problems, both simple and more complex problems, reviews, and quizzes. It also includes ample worksheets for students to practice independently. Most worksheets contain between eight and ten problems. When finished with this set of worksheets, students will be able to solve word problems involving direct and indirect variation. These worksheets explain how to solve problems involving direct and indirect variation. Sample problems are solved and practice problems are provided.