Direct and Inverse Variation Worksheets
What is the Difference Between Direct and Inverse Variations? When you are learning the concepts of variations, confusion may occur. However, with variations being an integral part of mathematics and physics, it is crucial that we wrap our heads around it. Now, two variables can vary either directly or inversely to each other. Whatever the case, there is a nonzero number, which is the constant of variation that separates both entities. Now, for any two variables, if the relation is direct, then y = kx, where k is nonzero constant. However, for any two variables, which are inverse, then y = k/x, where k is the nonzero constant.

Basic Lesson
Guides students solving equations that involve an Direct and Inverse Variations. Demonstrates answer checking. If E varies directly as D, and E = 15 when D = 5, then what is constant of proportionality?
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Intermediate Lesson
Demonstrates how to solve more difficult problems. Use the first set of data to find the value for the constant, k.
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Independent Practice 1
A really great activity for allowing students to understand the concept of Direct and Inverse Variations. Variable A varies directly with D. If A = 60 and D = 5, find the constant of proportionality.
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Independent Practice 2
Students find the Direct and Inverse Variations in assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with problems to achieve the concepts of Direct and Inverse Variations.
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Skill Quiz
This tests the students ability to evaluate Direct and Inverse Variations.
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Basic Lesson
Guides students solving equations that involve Direct Variations. Demonstrates answer checking.
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Intermediate Lesson
Demonstrates how to solve more difficult problems. There are about 200 calories in 50 grams of Swiss cheese. Willie ate 70 grams of this cheese. About how many calories were in the cheese that Willie ate.
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Independent Practice 1
A really great activity for allowing students to understand the concept of Direct Variations. There are about 6 calories in 8 grams of cheese. Kate ate 3 grams of this cheese. About how many calories were in the cheese she ate.
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Independent Practice 2
Students find the Direct Variation in assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with problems to achieve the concepts with this skill.
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Math Humor
Question: What do you call an insect that is not feeling
well?
Answer: a secant (a sick ant)